Spin block persistence at finite temperature

TL;DR

This paper introduces a new way to measure how long groups of spins in an Ising model remain unchanged at finite temperatures, extending the concept of persistence beyond zero temperature.

Contribution

It proposes a novel definition of the persistence exponent for spin blocks at finite temperature and provides a scaling framework supported by extensive simulations.

Findings

Defined a new finite-temperature persistence probability for spin blocks.

Established a scaling law involving time and block size.

Validated the scaling through extensive numerical simulations.

Abstract

We explore a new definition of the persistence exponent, measuring the probability that a spin never flips after a quench of an Ising-like model at a temperature 0<T<Tc, while the usual definition only makes sense at T=0. This probability is now defined for spin blocks, and a general scaling for it, involving time and block linear size is introduced and illustrated by extensive simulations.