Modeling Thermal Fluctuations: Phase Mixing and Percolation

Details Modeling Thermal Fluctuations: Phase Mixing and Percolation Modeling Thermal Fluctuations: Phase Mixing and Percolation

1995-12-05

arxiv.org/abs/cond-mat/9512032v1

Phys.Lett. B405 (1997) 121-125

Physics

Condensed Matter

Latex, 7 pages, 2 postscript figures, submitted to PRL. Also available at http://fnas08.fnal.gov/

Scientific paper

10.1016/S0370-2693(97)00621-7

We consider the nonequilibrium dynamics of a a real scalar field in a degenerate double-well potential. The system is prepared in the lowest free energy state in one of the wells and the dynamics is driven by the coupling of the field to a thermal bath. Using a simple analytical model, based on the subcritical bubbles method, we compute the fraction of the total volume which fluctuates to the opposite phase as a function of the parameters of the potential. Furthermore, we show how complete phase mixing, {\em i.e.} symmetry restoration, is related to percolation, which is dynamically driven by domain instability. Our method describes quantitatively recent results obtained by numerical simulations, and is applicable to systems in the Ising universality class.

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