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allaun
ce7bb9c3b6
- Corrected type mismatches in SOSCertificate and SemialgebraicSet constraints, ensuring polynomial components are correctly typed as ((σ → ℝ) → ℝ). - Resolved block comment syntax errors (/-- unexpected token) by converting section commentaries to standard block comments. - Decomposed foldl list inductions into generalized induction helper lemmas foldl_nonneg and foldl_weighted_nonneg to resolve type mismatches. - Unfolded let bindings in softplus_derivative_bounded via dsimp only to allow linarith to successfully find contradictions. - Updated CITATION.cff, GEMINI.md, and local AGENTS.md files with baseline records. Build: 3314 jobs, 0 errors (lake build Compiler)
792 lines
27 KiB
YAML
792 lines
27 KiB
YAML
cff-version: 1.2.0
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message: "If you use Research Stack, OTOM, Rainbow Raccoon Compiler, or the associated formal/compression artifacts, please cite this repository."
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type: software
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title: "Research Stack (OTOM)"
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abstract: >-
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Research Stack is a formal-methods and compression research repository for
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integer-routed symbolic systems, Omindirection logogram atoms, the Rainbow
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Raccoon Compiler admission gate, Lean-backed semantics, and associated
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documentation, infrastructure, and experimental adapters.
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authors:
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- family-names: "Schneider"
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given-names: "Brandon"
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alias: "allaunthefox"
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- name: "Research Stack Contributors"
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repository-code: "https://github.com/allaunthefox/Research-Stack"
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url: "https://github.com/allaunthefox/Research-Stack"
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date-released: 2026-05-08
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license: Apache-2.0
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keywords:
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- formal-verification
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- lean4
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- compression
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- symbolic-systems
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- omindirection
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- rainbow-raccoon-compiler
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- hutter-prize
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- fpga
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- manifolds
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- reproducible-research
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preferred-citation:
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type: software
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title: "Research Stack (OTOM)"
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authors:
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- family-names: "Schneider"
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given-names: "Brandon"
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alias: "allaunthefox"
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- name: "Research Stack Contributors"
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repository-code: "https://github.com/allaunthefox/Research-Stack"
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url: "https://github.com/allaunthefox/Research-Stack"
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date-released: 2026-05-08
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license: Apache-2.0
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references:
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- type: thesis
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||
title: "Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle"
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authors:
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- family-names: "Saucedo"
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given-names: "Antonio Jr."
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date-published: 2019-06
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institution:
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name: "California State University, San Bernardino"
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collection-title: "Electronic Theses, Projects, and Dissertations"
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url: "https://scholarworks.lib.csusb.edu/etd/855"
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notes: "Combinatorics reference for Pascal triangle extensions, Fermat-number patterns, and hockey-stick identities; useful as a domain source, not as a Lean proof authority."
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- type: thesis
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||
title: "Addressing Rural Mental Health Crises: An Alternative to Police"
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authors:
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- family-names: "Weatheral-block"
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||
given-names: "Faith Ann"
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date-published: 2024-05
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institution:
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name: "California State University, San Bernardino"
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collection-title: "Electronic Theses, Projects, and Dissertations"
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url: "https://scholarworks.lib.csusb.edu/etd/1957"
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notes: "Exploratory qualitative social-work project for rural crisis-response domain fixtures and route-token provenance; not evidence for quantitative safety or formal claims."
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# ── Stability-driven Recurrent Scaling and Single Precision IPMs (2026-06-19 session) ──
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- type: article
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title: "Stabilizing Recurrent Dynamics for Test-Time Scalable Latent Reasoning in Looped Language Models"
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authors:
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- family-names: "Yang"
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given-names: "Xiao-Wen"
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- family-names: "Han"
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given-names: "Ziyu"
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- family-names: "Zhang"
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given-names: "Xi-Hua"
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- family-names: "Wei"
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given-names: "Wen-Da"
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- family-names: "Shao"
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||
given-names: "Jie-Jing"
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- family-names: "Guo"
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given-names: "Lan-Zhe"
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- family-names: "Li"
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given-names: "Yu-Feng"
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date-published: 2026-05
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url: "https://arxiv.org/abs/2605.26733"
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notes: "Introduces STARS (STAbility-driven Recurrent Scaling) for looped models, regularizing spectral radius of the Jacobian using power iterations with JVPs."
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- type: article
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title: "A Differentiable Interior-Point Method in Single Precision"
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authors:
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- family-names: "Arrizabalaga"
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given-names: "Jon"
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- family-names: "Tracy"
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given-names: "Kevin"
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- family-names: "Manchester"
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given-names: "Zachary"
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date-published: 2026-05
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url: "https://arxiv.org/abs/2605.17913"
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notes: "Formulates a differentiable primal-dual interior-point method with implicit complementarity via a softplus retraction map, guaranteeing bounded KKT systems for low-precision or fixed-point arithmetic."
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# ── Hard-sphere packing and polydispersity (2026-06-19 session) ──────────
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- type: article
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title: "Close packing density of polydisperse hard spheres"
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authors:
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- family-names: "Farr"
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given-names: "R."
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- family-names: "Groot"
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given-names: "R. D."
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date-published: 2009-12
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doi: 10.1063/1.3276799
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journal: "The Journal of Chemical Physics"
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notes: "Anchor paper for polydisperse close-packing theory."
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- type: article
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title: "Fractionation effects in phase equilibria of polydisperse hard-sphere colloids"
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authors:
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- family-names: "Fasolo"
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given-names: "M."
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- family-names: "Sollich"
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given-names: "P."
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date-published: 2004-10
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doi: 10.1103/physreve.70.041410
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journal: "Physical Review E"
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notes: "Full fractionation phase equilibria for polydisperse hard spheres; terminal polydispersity ~14%."
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- type: article
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title: "Brownian dynamics of polydisperse colloidal hard spheres: Equilibrium structures and random close packings"
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authors:
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- family-names: "Schaertl"
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given-names: "W."
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- family-names: "Sillescu"
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given-names: "H."
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date-published: 1994
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doi: 10.1007/bf02183148
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journal: "Journal of Statistical Physics"
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notes: "Early polydisperse hard-sphere BD simulation."
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- type: article
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title: "Random-close packing limits for monodisperse and polydisperse hard spheres"
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authors:
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- family-names: "Baranau"
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given-names: "V."
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- family-names: "Tallarek"
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given-names: "U."
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date-published: 2014
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doi: 10.1039/c3sm52959b
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journal: "Soft Matter"
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notes: "Definitive RCP limits for monodisperse (~0.64) and polydisperse spheres."
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- type: article
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title: "On the jamming phase diagram for frictionless hard-sphere packings"
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authors:
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- family-names: "Baranau"
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given-names: "V."
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- family-names: "Tallarek"
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given-names: "U."
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date-published: 2014
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doi: 10.1039/c4sm01439a
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journal: "Soft Matter"
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notes: "Jamming phase diagram for frictionless spheres."
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- type: article
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title: "Dense packing of binary and polydisperse hard spheres"
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authors:
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- family-names: "Santiso"
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given-names: "E."
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- family-names: "Müller"
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given-names: "E. A."
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date-published: 2002
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doi: 10.1080/00268970210125313
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journal: "Molecular Physics"
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notes: "Packing of binary/tridisperse/distributed sphere mixtures."
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- type: article
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title: "Freezing of polydisperse hard spheres"
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authors:
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- family-names: "Kofke"
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given-names: "D."
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- family-names: "Bolhuis"
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given-names: "P."
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date-published: 1999
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doi: 10.1103/physreve.59.618
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journal: "Physical Review E"
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notes: "Fractionating phase behavior of polydisperse hard spheres."
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- type: article
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title: "Freezing line of polydisperse hard spheres via direct-coexistence simulations"
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authors:
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- family-names: "Castagnède"
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given-names: "A."
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- family-names: "Filion"
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given-names: "L."
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- family-names: "Smallenburg"
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given-names: "F."
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date-published: 2025
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doi: 10.1063/5.0281621
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journal: "The Journal of Chemical Physics"
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notes: "Recent direct-coexistence simulation of polydisperse freezing line."
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- type: article
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title: "Frenkel's entropy-exchange mechanism in monodisperse, nearly hard-sphere colloids: minimal perturbations to access fluid-crystal coexistence"
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authors:
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- family-names: "Wang"
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given-names: "J. G."
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- family-names: "Dhumal"
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given-names: "U."
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- family-names: "Zakhari"
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given-names: "M. E. A."
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- family-names: "Zia"
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given-names: "R."
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date-published: 2025
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doi: 10.1017/jfm.2026.11287
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journal: "Journal of Fluid Mechanics"
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notes: "Entropy-exchange mechanism to access monodisperse hard-sphere fluid-crystal coexistence."
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- type: article
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title: "The elusive fluid-and-crystal coexistence state in simulations of monodisperse, hard-sphere colloids"
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authors:
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- family-names: "Wang"
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given-names: "J. G."
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- family-names: "Dhumal"
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given-names: "U."
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- family-names: "Zakhari"
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given-names: "M. E. A."
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- family-names: "Zia"
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given-names: "R."
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date-published: 2024
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doi: 10.1002/aic.70275
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journal: "AIChE Journal"
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notes: "Elusive nature of unbiased monodisperse hard-sphere coexistence simulation."
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- type: article
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title: "Local composition fluctuations act as precursors for crystal nucleation in polydisperse hard spheres"
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authors:
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- family-names: "De Jager"
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given-names: "M."
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- family-names: "Castagnède"
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given-names: "A."
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- family-names: "Smallenburg"
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given-names: "F."
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- family-names: "Filion"
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given-names: "L."
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date-published: 2025
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journal: "arXiv"
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notes: "Composition fluctuation precursors in polydisperse nucleation."
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- type: article
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title: "Rheology and structure of polydisperse three-dimensional packings of spheres"
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authors:
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- family-names: "Cantor"
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given-names: "D."
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- family-names: "Azéma"
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given-names: "É."
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- family-names: "Sornay"
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given-names: "P."
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- family-names: "Radjai"
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given-names: "F."
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date-published: 2018
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doi: 10.1103/physreve.98.052910
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journal: "Physical Review E"
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notes: "Shear strength nearly unchanged despite microstructural differences in polydisperse packings."
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- type: article
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title: "Impact of polydispersity and confinement on diffusion in hydrodynamically interacting colloidal suspensions"
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authors:
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- family-names: "Gonzalez"
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given-names: "E."
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- family-names: "Aponte-Rivera"
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given-names: "C."
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- family-names: "Zia"
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given-names: "R."
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date-published: 2021
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doi: 10.1017/jfm.2021.563
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journal: "Journal of Fluid Mechanics"
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notes: "Polydispersity + confinement effect on colloidal diffusion."
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- type: article
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title: "Percus-Yevick structure factors made simple"
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authors:
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- family-names: "Botet"
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given-names: "R."
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- family-names: "Kwok"
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given-names: "S."
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- family-names: "Cabane"
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given-names: "B."
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date-published: 2020
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doi: 10.1107/s1600576720014041
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journal: "Journal of Applied Crystallography"
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notes: "Simplified PY structure factors for monodisperse/polydisperse fluids."
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- type: thesis
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title: "Microstructure and macroscopic properties of polydisperse systems of hard spheres"
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authors:
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- family-names: "Ogarko"
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given-names: "V."
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date-published: 2014
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doi: 10.3990/1.9789036536691
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institution:
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name: "University of Twente"
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notes: "Polydisperse hard-sphere EOS, moments, glassy regime."
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- type: article
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title: "The plane-wall effect on monodisperse and polydisperse sphere packings"
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authors:
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- family-names: "Zhou"
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given-names: "X."
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- family-names: "Huang"
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given-names: "Z."
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- family-names: "Li"
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given-names: "S."
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date-published: 2025
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doi: 10.1016/j.powtec.2025.120669
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journal: "Powder Technology"
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notes: "Wall effects in monodisperse vs polydisperse packings."
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- type: article
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title: "Random packing fraction of binary similar particles: Onsager's model revisited"
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authors:
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- family-names: "Brouwers"
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given-names: "H."
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date-published: 2022
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doi: 10.3367/ufne.2023.11.039606
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journal: "Uspekhi Fizicheskih Nauk"
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notes: "Binary packing density theory."
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- type: article
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title: "Mechanical response of particle packings at jamming onset"
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authors:
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- family-names: "Huang"
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given-names: "Z."
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- family-names: "Zhou"
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given-names: "X."
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- family-names: "Li"
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given-names: "S."
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date-published: 2025
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doi: 10.1039/d5sm00762c
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journal: "Soft Matter"
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notes: "Bulk modulus reduction from rattlers at jamming onset."
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- type: article
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title: "Dynamical coexistence in moderately polydisperse hard-sphere glasses"
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authors:
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- family-names: "Campo"
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given-names: "M."
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- family-names: "Speck"
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given-names: "T."
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date-published: 2019
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doi: 10.1063/1.5134842
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journal: "The Journal of Chemical Physics"
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notes: "Dynamical heterogeneity in polydisperse glasses."
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- type: article
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title: "Reentrant melting in polydispersed hard spheres"
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authors:
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- family-names: "Bartlett"
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given-names: "P."
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||
- family-names: "Warren"
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||
given-names: "P. B."
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||
date-published: 1999
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||
doi: 10.1103/physrevlett.82.1979
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journal: "Physical Review Letters"
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notes: "Predicted reentrant melting at high polydispersity; later challenged by full fractionation calculations."
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|
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- type: article
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title: "Molecular dynamics simulations of crystallization of hard spheres"
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||
authors:
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||
- family-names: "Volkov"
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||
given-names: "I."
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||
- family-names: "Cieplak"
|
||
given-names: "M."
|
||
- family-names: "Koplik"
|
||
given-names: "J."
|
||
- family-names: "Banavar"
|
||
given-names: "J."
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||
date-published: 2002
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||
doi: 10.1103/physreve.66.061401
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journal: "Physical Review E"
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||
notes: "MD comparison of monodisperse vs polydisperse crystallization rates."
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||
|
||
- type: article
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||
title: "Effects of Polydispersity on Structuring and Rheology in Flowing Suspensions"
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||
authors:
|
||
- family-names: "Rosenbaum"
|
||
given-names: "E."
|
||
- family-names: "Massoudi"
|
||
given-names: "M."
|
||
- family-names: "Dayal"
|
||
given-names: "K."
|
||
date-published: 2019
|
||
doi: 10.1115/1.4043094
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||
journal: "Journal of Applied Mechanics"
|
||
notes: "Shear-induced ordering suppressed by small polydispersity."
|
||
|
||
- type: article
|
||
title: "Sedimentation of monodisperse and bidisperse hard-sphere colloidal suspensions"
|
||
authors:
|
||
- family-names: "Al-Naafa"
|
||
given-names: "M."
|
||
- family-names: "Selim"
|
||
given-names: "M."
|
||
date-published: 1992
|
||
doi: 10.1002/aic.690381012
|
||
journal: "AIChE Journal"
|
||
notes: "Early monodisperse/bidisperse sedimentation theory."
|
||
|
||
- type: article
|
||
title: "Lattice-Boltzmann simulations of low-Reynolds-number flow past mono- and bidisperse arrays of spheres: results for the permeability and drag force"
|
||
authors:
|
||
- family-names: "van der Hoef"
|
||
given-names: "M. A."
|
||
- family-names: "Beetstra"
|
||
given-names: "R."
|
||
- family-names: "Kuipers"
|
||
given-names: "J. A. M."
|
||
date-published: 2005
|
||
doi: 10.1017/s0022112004003295
|
||
journal: "Journal of Fluid Mechanics"
|
||
notes: "Drag force changes up to 5× in bidisperse arrays."
|
||
|
||
# ── Vortex-glass and granular superconductor literature (2026-06-19 session) ──
|
||
|
||
- type: article
|
||
title: "Orbital glass in HTSC: a new state of condensed matter"
|
||
authors:
|
||
- family-names: "Kusmartsev"
|
||
given-names: "F."
|
||
date-published: 1992
|
||
doi: 10.1007/bf00620505
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||
journal: "Journal of Superconductivity"
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||
notes: "Orbital-glass state from frustrated Josephson loops in granular HTSC; Meissner disappearance at low fields."
|
||
|
||
- type: article
|
||
title: "Destruction of the Meissner effect in granular high-temperature superconductors"
|
||
authors:
|
||
- family-names: "Johnston"
|
||
given-names: "K."
|
||
alias: "K."
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||
date-published: 1992
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||
doi: 10.1103/physrevlett.69.2268
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||
journal: "Physical Review Letters"
|
||
notes: "Experimental/computational destruction of Meissner in granular HTSC."
|
||
|
||
- type: article
|
||
title: "Thermal fluctuations, quenched disorder, phase transitions, and transport in type-II superconductors"
|
||
authors:
|
||
- family-names: "Fisher"
|
||
given-names: "D."
|
||
- family-names: "Fisher"
|
||
given-names: "M."
|
||
- family-names: "Huse"
|
||
given-names: "D."
|
||
date-published: 1991
|
||
doi: 10.1103/physrevb.43.130
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||
journal: "Physical Review B"
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||
notes: "Foundational vortex-glass theory; continuous transitions from scaling."
|
||
|
||
- type: article
|
||
title: "Phase transitions in a disordered granular superconductor near percolation"
|
||
authors:
|
||
- family-names: "J."
|
||
given-names: "J."
|
||
- family-names: "L."
|
||
given-names: "L."
|
||
date-published: 1986
|
||
doi: 10.1103/physrevb.34.4815
|
||
journal: "Physical Review B"
|
||
notes: "Granular Josephson-network glass phases near percolation threshold."
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||
|
||
- type: article
|
||
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