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Kinetic Ising Model: Glauber Dynamics and Domain Growth

  • Task ID: materials.ising_domain_growth
  • Domain: materials
  • Subdomain: nonequilibrium_statistical_mechanics
  • Status: final
  • Benchmark set: seed42 (60 tasks)
  • Tags: ising_model, glauber_dynamics, domain_coarsening, nonequilibrium, phase_ordering, monte_carlo

Runtime and requirements

  • Estimated time: 30-60 minutes
  • Python: >=3.11
  • Packages: numpy>=2.0, scipy>=1.11, matplotlib>=3.7
  • GPU required: no
  • Network required: no

Public input and output contract

Inputs

  • parameters.json (data): Public numerical controls and sampling schedules.
  • initial_state.npy (data): Initial signed-state grid.

Outputs

  • simulation.py (code): Agent-written Glauber dynamics simulation and analysis code
  • seriesA.npy (data): Row 0 = sampled step index, Row 1 = primary scale statistic
  • seriesB.npy (data): Row 0 = sampled step index, Row 1 = secondary contrast statistic
  • stackC.npy (data): First per-snapshot indexed summary table
  • stackD.npy (data): Second per-snapshot indexed summary table
  • stackE.npy (data): Per-snapshot rescaled comparison representation
  • metadataA.json (data): Dynamic-scaling collapse quality metrics, applicability flags, and warnings
  • metadataB.json (data): Fitted growth exponent n from L(t) \~ t^n, with explicit Allen-Cahn tolerance metadata and warnings
  • figure.png (figure): Multi-panel figure: spin snapshots, L(t) fit, correlation curves, and dynamic-scaling collapse

Public repository files

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Provenance

This task is included in the current seed42 benchmark set at dataset revision f11a199f71fb4b854ac43a1bf548d5df519141a9.

This page is generated only from files tracked in the public ASI-Bench repository at commit f18382f03faf. Submission bundles, run logs, private scoring configuration, and private reference answers are not read by this page generator.