"""
Ordering kinetics analysis for the 2D XY model.
Quenches from a disordered state to T < T_BKT and records length scale
growth and vortex density decay over time.
"""
from __future__ import annotations
import argparse
import logging
from models.xy_model import XYSimulation
from utils.kinetics_helpers import run_ordering_kinetics
from utils.plotting import ensure_results_dir
from utils.system import parse_args_compat, setup_logging
[docs]
def main() -> None:
"""Run the XY ordering kinetics simulation."""
parser = argparse.ArgumentParser(description='2D XY Model Ordering Kinetics Analysis')
parser.add_argument('--size', type=int, default=256, help='Linear lattice size L')
parser.add_argument('--temp', type=float, default=0.5, help='Quench temperature T')
parser.add_argument('--max-steps', type=int, default=1500, help='Total MC steps')
parser.add_argument('--samples', type=int, default=30, help='Number of measurement points')
parser.add_argument('--fit-min', type=int, default=5, help='Min step for power-law fit')
parser.add_argument(
'--seeds', type=int, default=4,
help='Number of independent seeds for ensemble averaging',
)
parser.add_argument('--base-seed', type=int, default=42, help='Starting seed for the ensemble')
parser.add_argument('--output-dir', type=str, default='results/xy', help='Output directory')
parser.add_argument('--log-file', type=str, default=None, help='Optional log file path')
parser.add_argument('--verbose', action='store_true', help='Enable verbose logging')
args = parse_args_compat(parser)
log_level = logging.DEBUG if args.verbose else logging.INFO
logger = setup_logging(level=log_level, log_file=args.log_file)
T_BKT: float = 0.893
logger.info(f'XY ordering kinetics analysis (L={args.size}, T={args.temp:.3f} < T_BKT={T_BKT})')
run_ordering_kinetics(
model_cls=XYSimulation,
model_kwargs={},
third_metric_fn=lambda sim: sim._get_vortex_density(),
third_metric_label='Vortex Density $n_v(t)$',
title=(
f'2D XY Ordering Kinetics - $T = {args.temp}$'
f' ($< T_{{BKT}} \\approx {T_BKT}$), $L = {args.size}$'
),
left_title='Phase Ordering Dynamics',
right_title='Vortex Decay',
size=args.size,
temp=args.temp,
max_steps=args.max_steps,
samples=args.samples,
fit_min=args.fit_min,
output_dir=args.output_dir,
logger=logger,
npz_path=f'{ensure_results_dir(directory=args.output_dir)}/ordering_kinetics.npz',
n_seeds=args.seeds,
base_seed=args.base_seed,
)
if __name__ == '__main__':
main()