Dynamical percolation transition in the Ising model studied using a pulsed magnetic field

TL;DR

This paper investigates the dynamical percolation transition in the two-dimensional Ising model under pulsed magnetic fields, revealing universal critical behavior and exponents independent of temperature and pulse width.

Contribution

It demonstrates that the dynamical percolation transition exhibits universal critical exponents and Binder cumulant values across models in the Ising universality class.

Findings

Critical exponents are independent of temperature and pulse width.

The exponents are consistent across different models in the Ising class.

A universal critical Binder cumulant value characterizes the transition.

Abstract

We study the dynamical percolation transition of the geometrical clusters in the two-dimensional Ising model when it is subjected to a pulsed field below the critical temperature. The critical exponents are independent of the temperature and pulse width and are different from the (static) percolation transition associated with the thermal transition. For a different model that belongs to the Ising universality class, the exponents are found to be same, confirming that the behavior is a common feature of the Ising class. These observations, along with a universal critical Binder cumulant value, characterize the dynamical percolation of the Ising universality class.