Modeling thermal fluctuations: phase mixing and percolation
Abstract
We consider the nonequilibrium dynamics of a real scalar field in a doublewell potential. The system is initially prepared in one well and coupled to a thermal bath. Using a simple analytical model, we compute the equilibrium fraction of the total volume in each phase as a function of the parameters of the potential. We also show how complete phase mixing, i.e. symmetry restoration, is related to percolation, which is dynamically driven by domain instability. Our method describes quantitatively recent numerical results, and is applicable to systems in the Ising universality class.
 Publication:

Physics Letters B
 Pub Date:
 February 1997
 DOI:
 10.1016/S03702693(97)006217
 arXiv:
 arXiv:condmat/9512032
 Bibcode:
 1997PhLB..405..121G
 Keywords:

 Condensed Matter;
 Astrophysics;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 Latex, 7 pages, 2 postscript figures, submitted to PRL. Also available at http://fnas08.fnal.gov/