Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156947 | Stochastic Processes and their Applications | 2009 | 37 Pages |
Abstract
One of the main objectives of equilibrium state statistical physics is to analyze which symmetries of an interacting particle system in equilibrium are broken or conserved. Here we present a general result on the conservation of translational symmetry for two-dimensional Gibbsian particle systems. The result applies to particles with internal degrees of freedom and fairly arbitrary interaction, including the interesting cases of discontinuous, singular, and hard core interaction. In particular we thus show the conservation of translational symmetry for the continuum Widom–Rowlinson model and a class of continuum Potts type models.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Thomas Richthammer,