Universal behavior in finite 2D kinetic ferromagnets

TL;DR

This paper demonstrates that in finite 2D kinetic Ising models, correlation functions exhibit universal scaling behavior throughout the entire evolution, linking small finite systems to larger ones and challenging traditional dynamical scaling limits.

Contribution

It reveals a universal data collapse in correlation functions valid at all times and scales, extending the understanding of finite size effects in 2D kinetic ferromagnets.

Findings

Universal data collapse observed in correlation functions.

Correlation evolution in small systems parallels larger systems.

Finite size effects decay rapidly, revealing universal behavior.

Abstract

We study the time evolution of the two-dimensional kinetic Ising model in finite systems with a non-conserved order parameter, considering nearest-neighbour interactions on the square lattice with periodic and open boundary conditions. Universal data collapse in spin product correlation functions is observed which, when expressed in rescaled units, is valid across the entire time evolution of the system at all length scales, not just within the time regime usually considered in the dynamical scaling hypothesis. Consequently, beyond rapidly decaying finite size effects, the evolution of correlations in small finite systems parallels arbitrarily larger cases, even at large fractions of the size of these finite systems.