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Exchange of stability as a function of system size in a nonequilibrium system

Sorin Tănase-Nicola and David K. Lubensky

  • Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA

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Phys. Rev. E 86, 040103(R) – Published 10 October, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.040103

Abstract

In equilibrium systems with short-ranged interactions, the relative stability of different thermodynamic states generally does not depend on system size (as long as this size is larger than the interaction range). Here, we use a large deviations approach to show that, in contrast, different states can exchange stability as system size is varied in a driven, bistable reaction-diffusion system. This striking effect is related to a shift from a spatially uniform to a nonuniform transition state and should generically be possible in a wide range of nonequilibrium physical and biological systems.

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Phys. Rev. E 86, 040103(R)– Published 10 October, 2012
  • Received 4 June 2012

©2012 American Physical Society

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