Dependence of persistence exponent on initial state

TL;DR

This paper investigates how the persistence exponent in a one-dimensional Ising model changes continuously with the initial state, revealing a previously overlooked dependency on the initial spin distribution.

Contribution

It demonstrates that the persistence exponent depends continuously on the initial spin fraction, a novel insight not addressed in prior research.

Findings

Persistence exponent varies with initial spin fraction

Continuous dependence of persistence exponent on initial state

Overlooked feature in previous studies

Abstract

We examine persistence in one dimensional Ising model under zero temperature Glauber dynamics for random initial states with unequal fraction of up and down spins. We find the persistence exponent varies continuously with the fraction of up spins in the initial state. Apparently this feature has been overlooked in the studies so far.