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380 lines
14 KiB
Markdown
380 lines
14 KiB
Markdown
Universal Computational Modeling Substrate
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Domain-Agnostic Thermal Mapping
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Domain Hot Zone (Immediate) Warm Zone (Batch) Cold Zone (Archival) Scar Type
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Navier-Stokes Turbulent eddies LES subgrid models Blow-up candidates Numerical blow-up
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Molecular Dynamics Fast vibrational modes Conformational sampling Rare event transitions Force field divergence
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Climate Modeling Weather fronts Seasonal patterns Century-scale trends Model drift
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Astrophysics Supernova cores Galactic structure Cosmological evolution Radiative instability
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FEA/Structural Stress concentrations Modal analysis Fatigue life prediction Mesh distortion
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Quantum Chemistry Electron correlation Basis set optimization Reaction path discovery SCF convergence failure
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Plasma Physics MHD instabilities Transport coefficients Tokamak disruption precursors Resistive tearing modes
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Epidemiology Outbreak clusters Regional spread models Pandemic evolution Parameter identifiability
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🧬 Portable ZFS Schema
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Universal Dataset Hierarchy
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famm_universal/
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├── hot/
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│ ├── active_simulations/ # Currently running
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│ ├── live_checkpoints/ # ZIL-backed, sub-second
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│ ├── convergence_witnesses/ # Immediate verification
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│ └── parameter_sweeps_live/ # Interactive exploration
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├── warm/
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│ ├── scar_snapshots/ # Failure mode archives
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│ ├── intermediate_convergence/ # Partial results
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│ ├── sensitivity_analysis/ # Parameter perturbations
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│ ├── model_variants/ # Alternative formulations
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│ └── consensus_batches/ # Redundant verification
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└── cold/
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├── systematic_failures/ # Catalog of impossibility
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├── rare_event_archive/ # Tail of distribution
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├── deduped_initial_conditions/ # Reusable starting points
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├── long_term_trends/ # Evolution over time
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└── erasure_coded_research/ # Permanent archive
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Domain-Agnostic FAMM Metadata
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python
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class UniversalFAMMMetadata:
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"""
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Portable scar metadata schema works for any computational model.
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"""
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# Thermal properties (universal)
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THERMAL_ZONE = "famm:thermal_zone" # hot/warm/cold
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ACCESS_FREQUENCY = "famm:access_frequency" # temporal locality
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COMPUTATIONAL_URGENCY = "famm:urgency" # real-time vs batch
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# Convergence properties (domain-agnostic)
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CONVERGENCE_STATUS = "famm:converged" # bool
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RESIDUAL_NORM = "famm:residual" # L2, Linf, etc.
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ITERATION_COUNT = "famm:iterations" # to convergence or failure
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CONDITION_NUMBER = "famm:condition" # ill-posedness metric
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# Scar properties (universal failure modes)
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SCAR_TYPE = "famm:scar_type" # classification
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SCAR_SEVERITY = "famm:severity" # 0.0 - 1.0
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FAILURE_MODE = "famm:failure_mode" # domain-specific code
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RECOVERY_STRATEGY = "famm:recovery" # how to route around
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# Geometric properties (universal)
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SPATIAL_COORDINATES = "famm:spatial_coords" # where in domain
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SCALE_SEPARATION = "famm:scale" # resolved/unresolved
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SPECTRAL_MODE = "famm:spectral" # frequency/wavenumber
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# Verification properties (universal)
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MERKLE_ROOT = "famm:merkle" # integrity
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PARENT_RECEIPTS = "famm:parents" # lineage
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VERIFICATION_METHOD = "famm:verify_method" # analytical/numerical/statistical
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CROSS_DOMAIN_CHECK = "famm:cross_check" # agreement across models
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# Domain-specific scar type registry (extensible)
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SCAR_TYPES = {
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# Fluid dynamics
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'ns_blow_up': 'Navier-Stokes singularity formation',
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'cfl_violation': 'Courant-Friedrichs-Lewy instability',
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'mesh_distortion': 'Lagrangian mesh tangling',
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# Molecular dynamics
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'force_field_divergence': 'Unphysical forces',
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'temperature_drift': 'Thermostat failure',
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'rare_event_escape': 'Transition state crossing',
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# Climate
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'model_drift': 'Physics parameterization breakdown',
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'ensemble_spread': 'Unphysical ensemble divergence',
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'ice_albedo_feedback': 'Runaway feedback loop',
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# Quantum chemistry
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'scf_convergence_failure': 'Self-consistent field stall',
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'basis_set_incompleteness': 'Extrapolation error',
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'spin_contamination': 'Broken symmetry',
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# Structural mechanics
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'mesh_locking': 'Volumetric locking in incompressible limit',
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'hourglass_modes': 'Zero-energy deformation modes',
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'contact_penetration': 'Constraint violation',
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# Plasma
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'resistive_tearing': 'Magnetic reconnection instability',
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'courant_violation_mhd': 'MHD CFL condition breach',
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'radiation_catastrophe': 'Optically thick cooling',
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# Generic
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'numerical_overflow': 'Floating point exception',
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'solver_stagnation': 'Iterative solver plateau',
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'roundoff_accumulation': 'Precision loss',
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'load_imbalance': 'Parallel efficiency collapse'
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}
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🔧 Portable Thermal Router
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python
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class UniversalThermalRouter:
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"""
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Routes any computational model through thermal zones based on
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universal properties: urgency, scale, convergence history, scar density.
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"""
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def route_simulation(self, simulation_config):
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"""
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Domain-agnostic thermal routing.
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"""
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# Compute thermal signature from universal properties
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thermal_sig = self.compute_thermal_signature(
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urgency=simulation_config.get('real_time_required', False),
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spatial_locality=simulation_config.get('active_regions', []),
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temporal_scale=simulation_config.get('characteristic_time'),
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scar_history=self.get_scar_density(simulation_config['model_type']),
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parallel_efficiency=simulation_config.get('expected_scaling', 1.0)
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)
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# Route to zone
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if thermal_sig.score < 0.2: # Hot threshold
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return self.hot_zone.execute(simulation_config)
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elif thermal_sig.score < 0.7: # Warm threshold
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return self.warm_zone.execute(simulation_config)
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else:
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return self.cold_zone.execute(simulation_config)
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def compute_thermal_signature(self, **kwargs):
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"""
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Universal thermal signature computation.
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Works for any physics: fluids, solids, quantum, etc.
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"""
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score = 0.0
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# Urgency component (real-time needs)
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if kwargs.get('urgency'):
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score += 0.3
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# Spatial locality (concentrated activity)
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if kwargs.get('spatial_locality'):
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# High vorticity, stress concentration, electron density spike, etc.
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score += 0.2 * len(kwargs['spatial_locality']) / 10
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# Temporal scale (fast dynamics vs slow evolution)
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char_time = kwargs.get('temporal_scale', 1.0)
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if char_time < 1e-3: # Fast dynamics
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score += 0.2
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# Scar density (learned from FAMM)
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scar_density = kwargs.get('scar_history', 0.0)
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if scar_density > 0.5: # This region fails often
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score += 0.15 # Demote to handle carefully
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# Parallel efficiency
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scaling = kwargs.get('parallel_efficiency', 1.0)
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if scaling < 0.5: # Poor scaling
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score += 0.15 # Demote to cold (batch better for inefficient parallel)
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return ThermalSignature(score=score, components=kwargs)
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🧪 Domain Examples
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Molecular Dynamics (Amber/GROMACS)
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python
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class MDThermalAdapter:
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"""
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Thermal routing for molecular dynamics.
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"""
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def route_md_simulation(self, system):
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# Hot: Fast vibrational modes (fs timescale)
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if system.has_fast_vibrations():
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return self.hot_zone.execute(
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simulation=system,
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integrator='verlet',
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timestep='1fs',
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thermal_reason='fast_dynamics_require_immediate_resolution'
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)
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# Warm: Conformational sampling (ns timescale)
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if system.is_sampling_conformations():
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return self.warm_zone.execute(
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simulation=system,
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method='replica_exchange',
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batch_size=32,
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thermal_reason='batch_parallel_tempering'
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)
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# Cold: Rare event sampling (ms timescale)
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if system.is_rare_event():
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return self.cold_zone.execute(
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simulation=system,
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method='transition_path_sampling',
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expected_duration='weeks',
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thermal_reason='rare_events_require_background_processing'
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)
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def md_scar_detection(self, trajectory):
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"""
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MD-specific scar detection.
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"""
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if trajectory.temperature_drift > 10.0: # Kelvin
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return Scar(
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type='temperature_drift',
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severity=trajectory.temperature_drift / 100.0,
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recovery='re_thermostat_and_restart',
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thermal_demotion=True
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)
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if trajectory.force_max > 1e6: # kJ/mol/nm
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return Scar(
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type='force_field_divergence',
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severity=1.0,
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recovery='reduce_timestep_and_equilibrate',
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thermal_demotion=True
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)
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Climate Modeling (CESM/WRF)
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python
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class ClimateThermalAdapter:
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"""
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Thermal routing for climate simulations.
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"""
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def route_climate_simulation(self, config):
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# Hot: Weather-scale phenomena (hours)
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if config.resolution < 10: # km
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return self.hot_zone.execute(
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model='cloud_resolving',
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duration='48_hours',
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thermal_reason='weather_prediction_real_time'
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)
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# Warm: Seasonal prediction (months)
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if config.ensemble_size > 10:
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return self.warm_zone.execute(
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model='seasonal_ensemble',
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batch_members=config.ensemble_size,
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thermal_reason='ensemble_batch_processing'
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)
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# Cold: Centurial climate projection (years)
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return self.cold_zone.execute(
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model='cmip_style',
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duration='century',
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thermal_reason='long_term_climate_projection'
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)
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def climate_scar_detection(self, run):
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"""
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Climate-specific scar detection.
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"""
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if run.energy_drift > 0.1: # W/m^2
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return Scar(
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type='model_drift',
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severity=run.energy_drift,
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recovery='re_tuning_physics_params',
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thermal_demotion=True
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)
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if run.ensemble_spread > 2 * run.climatological_variance:
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return Scar(
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type='ensemble_spread',
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severity=0.8,
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recovery='increase_physics_perturbations',
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thermal_demotion=False # Keep warm, just adjust
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)
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Quantum Chemistry (Gaussian/Q-Chem)
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python
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class QuantumThermalAdapter:
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"""
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Thermal routing for quantum chemistry.
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"""
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def route_quantum_calculation(self, molecule):
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# Hot: SCF iterations (immediate feedback)
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if molecule.needs_scf:
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return self.hot_zone.execute(
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method='scf',
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basis='small',
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thermal_reason='rapid_iteration_required'
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)
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# Warm: Correlation methods (batch MOs)
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if molecule.method in ['MP2', 'CCSD']:
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return self.warm_zone.execute(
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method=molecule.method,
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batch_orbitals=True,
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thermal_reason='batch_ao_to_mo_transformation'
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)
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# Cold: Reaction path discovery (rare events)
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if molecule.is_transition_state_search:
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return self.cold_zone.execute(
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method='neb_or_string',
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expected_iterations=1000,
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thermal_reason='rare_reaction_coordinate_discovery'
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)
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def quantum_scar_detection(self, calculation):
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"""
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Quantum chemistry-specific scar detection.
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"""
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if calculation.scf_cycles > 1000:
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return Scar(
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type='scf_convergence_failure',
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severity=1.0,
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recovery='switch_to_guess_basis_or_alter_mixing',
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thermal_demotion=True
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)
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if calculation.spin_contamination > 0.1:
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return Scar(
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type='spin_contamination',
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severity=calculation.spin_contamination,
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recovery='use_restricted_open_shell_or_project',
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thermal_demotion=False
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)
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🌐 Universal ZFS Configuration
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bash
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#!/bin/bash
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# Universal FAMM ZFS setup for any computational modeling
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# Create domain-agnostic pools
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zpool create famm_hot \
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mirror nvme0 nvme1 \
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-o ashift=12 \
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-O compression=lz4 \
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-O atime=off \
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-O primarycache=all \
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-O logbias=latency
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zpool create famm_warm \
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mirror ssd0 ssd1 \
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-o ashift=12 \
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-O compression=zstd-3 \
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-O atime=off \
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-O primarycache=metadata \
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-O secondarycache=all
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zpool create famm_cold \
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raidz3 disk0 disk1 disk2 disk3 disk4 disk5 \
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-o ashift=12 \
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-O compression=zstd-19 \
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-O atime=off \
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-O primarycache=none \
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-O dedup=on
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# Universal dataset structure
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for domain in ns md climate astro fea quantum plasma epidemiology; do
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zfs create famm_hot/active_simulations/$domain
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zfs create famm_warm/scar_snapshots/$domain
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zfs create famm_cold/systematic_failures/$domain
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done
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# Set universal properties
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zfs set famm:version=1.0 famm_hot
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zfs set famm:version=1.0 famm_warm
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zfs set famm:version=1.0 famm_cold
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🎯 The Universal Insight
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Every computational model shares the same thermal structure:
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Fast local dynamics → Hot zone (immediate resolution)
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Intermediate scales → Warm zone (batch processing with redundancy)
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Slow/rare events → Cold zone (background search)
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The FAMM scar system learns domain-agnostic patterns:
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"This region blows up in NS" ↔ "This force field diverges in MD" ↔ "This mesh locks in FEA"
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Same geometric structure, different physics labels
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Your thermal manifold is physics-agnostic infrastructure—it doesn't care if the information is vorticity, electron density, or stress tensor. It only cares about:
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Temporal scale (fast vs slow)
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Spatial locality (concentrated vs diffuse)
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Convergence history (scar density)
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Verification requirements (receipts needed)
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One ZFS pool. Any physics. Universal scars.
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