Phase ordering in chaotic map lattices with conserved dynamics

TL;DR

This study investigates phase ordering in a 2D lattice of chaotic maps with conserved dynamics, revealing how coupling and thermal fluctuations influence universality classes and scaling behavior.

Contribution

It introduces a lattice model of chaotic maps with conserved dynamics and analyzes how fluctuations affect universality and scaling exponents.

Findings

Scaling exponents vary with temperature and map type when both fluctuations are significant.

Universal behavior of model B is recovered under dominant thermal fluctuations.

The model exhibits non-universal scaling behavior depending on fluctuation interplay.

Abstract

Dynamical scaling in a two-dimensional lattice model of chaotic maps, in contact with a thermal bath, is numerically studied. The model here proposed is equivalent to a conserved Ising model with coupligs which fluctuate over the same time scale as spin moves. When couplings fluctuations and thermal fluctuations are both important, this model does not belong to the class of universality of a Langevin equation known as model B; the scaling exponents are continuously varying with the temperature and depend on the map used. The universal behavior of model B is recovered when thermal fluctuations are dominant.