Entropy-driven phase transitions with influence of the field-dependent diffusion coefficient

TL;DR

This paper investigates how internal fluctuations and field-dependent mobility influence phase transitions in reaction-diffusion systems, revealing that noise can induce spatial patterns and cause both critical and non-critical disordering transitions.

Contribution

It introduces a comprehensive analysis of phase transitions in reaction-diffusion systems with power-law field-dependent mobility, highlighting the role of noise in pattern formation and disordering.

Findings

Noise sustains spatial patterns in the system

Phase transitions can be critical or non-critical

Field-dependent mobility influences transition behavior

Abstract

We present a comprehensive study of the phase transitions in the single-field reaction-diffusion stochastic systems with field-dependent mobility of a power-low form and the internal fluctuations. Using variational principles and mean-field theory it was shown that the noise can sustain spatial patterns and leads to disordering phase transitions. We have shown that the phase transitions can be of critical or non-critical character.