Multicanonical Simulations of the Tails of the Order-Parameter Distribution of the Two-Dimensional Ising Model

TL;DR

This paper uses multicanonical Monte Carlo simulations to investigate the tails of the order-parameter distribution in the 2D Ising model, revealing evidence of fat stretched exponential tails below the critical temperature and suggesting their presence at criticality.

Contribution

It provides the first detailed numerical analysis of the tail behavior of the order-parameter distribution in the 2D Ising model using multicanonical simulations.

Findings

Evidence of fat stretched exponential tails below critical temperature

Possible presence of fat tails at critical temperature

Numerical confirmation of tail behavior in the 2D Ising model

Abstract

We report multicanonical Monte Carlo simulations of the tails of the order-parameter distribution of the two-dimensional Ising model for fixed boundary conditions. Clear numerical evidence for "fat" stretched exponential tails is found below the critical temperature, indicating the possible presence of fat tails at the critical temperature.