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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3):036113. doi: 10.1103/PhysRevE.65.036113. Epub 2002 Feb 12.

Nonequilibrium precursor model for the onset of percolation in a two-phase system.

Physical review. E, Statistical, nonlinear, and soft matter physics

Marcelo Gleiser, Rafael C Howell, Rudnei O Ramos

Affiliations

  1. Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755-3528, USA.

PMID: 11909171 DOI: 10.1103/PhysRevE.65.036113

Abstract

Using a Boltzmann-like equation, we investigate the nonequilibrium dynamics of nonperturbative fluctuations within the context of Ginzburg-Landau models. As an illustration, we examine how a two-phase system initially prepared in a homogeneous, low-temperature phase becomes populated by precursors of the opposite phase as the temperature is increased. We compute the critical value of the order parameter for the onset of percolation, which signals the breakdown of the conventional dilute gas approximation.

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