Noise-Induced Phase Separation: Mean-Field Results

TL;DR

This paper investigates how spatially-correlated multiplicative noise can induce phase separation in conserved systems, using mean-field theory and numerical simulations to analyze the phase diagram and compare dynamics.

Contribution

It introduces a mean-field approach for conserved systems affected by noise and compares theoretical predictions with numerical simulations, highlighting differences between conserved and nonconserved dynamics.

Findings

Mean-field results successfully predict phase diagrams.

Numerical simulations confirm noise-induced phase separation.

Differences observed between conserved and nonconserved noise-driven dynamics.

Abstract

We present a study of a phase-separation process induced by the presence of spatially-correlated multiplicative noise. We develop a mean-field approach suitable for conserved-order-parameter systems and use it to obtain the phase diagram of the model. Mean-field results are compared with numerical simulations of the complete model in two dimensions. Additionally, a comparison between the noise-driven dynamics of conserved and nonconserved systems is made at the level of the mean-field approximation.