Kinetics of a non-glauberian Ising model: global observables and exact results

TL;DR

This paper provides an exact analysis of the dynamics in a kinetic Ising chain with KDH transition rates, focusing on global observables, their evolution, and ageing behavior after a zero-temperature quench.

Contribution

It offers exact solutions for the evolution of global quantities and ageing phenomena in a non-Glauberian kinetic Ising model with KDH transition rates.

Findings

Exact expressions for magnetisation and fluctuations

Analysis of two-time susceptibilities and correlations

Insights into ageing behavior post-quench

Abstract

We analyse the spin-flip dynamics in kinetic Ising chains with Kimball-Deker-Haake (KDH) transition rates, and evaluate exactly the evolution of global quantities like magnetisation and its fluctuations, and the two-time susceptibilities and correlations of the global spin and the global three-spin. Information on the ageing behaviour after a quench to zero temperature is extracted.