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

V.O. Kharchenko

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 4, 268-276

Abstract: We present a comprehensive study of phase transitions in a single-field reaction-diffusion stochastic systems with a field-dependent mobility of a power-law form and internal fluctuations. Using variational principles and mean-field theory we have shown that the noise can sustain spatial patterns and leads to phase transitions type of “order-disorder”. These phase transitions can be critical and non-critical in character. Our theoretical results are verified by computer simulations.

Keywords: Stochastic systems; Phase transition; Spatial patterns (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:4:p:268-276

DOI: 10.1016/j.physa.2008.10.016

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