Translation-invariance of two-dimensional Gibbsian systems of particles with internal degrees of freedom
نویسنده
چکیده
The conservation of translational symmetry in two-dimensional systems with interaction is a classical subject of statistical mechanics. Here we establish such a result for Gibbsian systems of marked particles with two-body interaction, where the interesting cases of singular, hard-core and discontinuous interactions are included. In particular we thus show the conservation of translational symmetry for the continuum Widom Rowlinson model and a class of continuum Potts type models in two dimensions.
منابع مشابه
Translation invariance and continuous symmetries in two-dimensional continuum systems
We reconsider the problem of absence of continuous symmetry breaking for systems of point particles in R. Assuming smoothness and suitable decay of the interaction, we show that each tempered Gibbs measure is invariant under translations. If the particles exhibit internal degrees of freedom with continuous symmetries, the latter are also preserved. The proof is elementary and avoids the use of ...
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تاریخ انتشار 2006