vibespin.scripts.xy package

Submodules

scripts.xy.bkt_transition module

Analysis of the Berezinskii-Kosterlitz-Thouless (BKT) transition in the 2D XY model. Measures the average vortex density as a function of temperature.

scripts.xy.bkt_transition.main() → None

Run temperature sweep to observe vortex-density growth near T_BKT.

scripts.xy.bkt_transition.simulate_bkt_point(params: tuple[float, int, int, int, int]) → float

Worker function to simulate a single temperature and measure average vortex density.

Parameters:

params (Tuple of (T, L, eq_probe_steps, eq_max_steps, meas_steps).)

Return type:

Average vortex density n_v.

scripts.xy.compare_correlations module

Comparison of spin-spin correlation functions G(r) for the XY model. Contrasts power-law decay (low T) with exponential decay (high T).

scripts.xy.compare_correlations.main() → None

Run the correlation comparison analysis for the XY model.

scripts.xy.compare_correlations.simulate_correlation(params: tuple[float, int, int, int, int]) → tuple[ndarray, ndarray]

Worker function: simulate and return the averaged correlation function at temperature T.

Parameters:

params (Tuple of (T, L, steps, eq_steps, sample_interval).)

Return type:

A tuple of (r, G_r) - radial distances and averaged correlations.

scripts.xy.helicity_modulus module

Analysis of the helicity modulus (superfluid stiffness) in the 2D XY model. Used to identify the universal jump at the BKT transition.

scripts.xy.helicity_modulus.main() → None

Run parallel sweep to calculate helicity modulus across the BKT region.

scripts.xy.helicity_modulus.simulate_helicity(params: tuple[float, int, int, int, int]) → float

Run simulation for a single temperature and compute the helicity modulus.

Parameters:

params (Tuple of (T, L, eq_probe_steps, eq_max_steps, meas_steps).)

Return type:

Helicity modulus (Upsilon) for this temperature.

Raises:

ValueError – If T is less than or equal to 0.:

scripts.xy.ordering_evolution module

Phase ordering evolution visualisation for the 2D XY model.

Quenches from a disordered state to T < T_BKT and records the spin configuration at multiple time steps, plotting phase configurations, vorticity maps, and radially averaged correlation functions G(r).

scripts.xy.ordering_evolution.main() → None

Run the simulation and generate a multi-row phase ordering figure.

scripts.xy.ordering_kinetics module

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.

scripts.xy.ordering_kinetics.main() → None

Run the XY ordering kinetics simulation.

scripts.xy.temperature_sweep module

Standardized temperature sweep for the 2D XY model. Calculates and plots magnetization, energy, susceptibility, and specific heat.

scripts.xy.temperature_sweep.main() → None

Execute the temperature sweep and generate standardized 4-panel plots.

scripts.xy.temperature_sweep.simulate_temperature(params: _SweepPoint) → tuple[float, float, float, float, float]

Worker function to simulate a single temperature point for the XY model.

Module contents