Multimagnetical Simulations

TL;DR

This paper introduces a modified multicanonical Monte Carlo algorithm, called multimagnetic, for simulating magnetic field-driven phase transitions in the 2D Ising model, significantly improving interface sampling efficiency.

Contribution

The paper presents a novel multimagnetic Monte Carlo method tailored for magnetic field-driven transitions, enhancing interface sampling in large lattice simulations.

Findings

Enhanced interface sampling by several orders of magnitude

Successful simulation of 2D Ising model up to 100x100 lattices

Effective for studying magnetic field-driven phase transitions

Abstract

We modified the recently proposed multicanonical MC algorithm for the case of a magnetic field driven order--order phase transition. We test this {\it multimagnetic} Monte Carlo algorithm for the D=2 Ising model at $\beta=0.5$ and simulate square lattices up to size $100 \times 100$. On these lattices with periodic boundary conditions it is possible to enhance the appearance of order-order interfaces during the simulation by many orders of magnitude as compared to the standard Monte Carlo simulation.