Translation-invariance of two-dimensional Gibbsian point processes
نویسنده
چکیده
The conservation of translation as a symmetry in two-dimensional systems with interaction is a classical subject of statistical mechanics. Here we establish such a result for Gibbsian particle systems with two-body interaction, where the interesting cases of singular, hard-core and discontinuous interaction are included. We start with the special case of pure hard core repulsion in order to show how to treat hard cores in general.
منابع مشابه
Translation-invariance of two-dimensional Gibbsian systems of particles with internal degrees of freedom
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 symm...
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تاریخ انتشار 2008