Translation-Invariance of Two-Dimensional Gibbsian Point Processes
نویسندگان
چکیده
منابع مشابه
Translation-invariance of two-dimensional Gibbsian point processes
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 sho...
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We consider two-dimensional marked point processes which are Gibbsian with a two-body-potential of the form U = JV +K, where J and K depend on the positions and V depends on the marks of the two particles considered. V is supposed to have a continuous symmetry. We will generalise the famous Mermin-Wagner-Dobrushin-Shlosman theorem to this setting in order to show that the Gibbsian process is in...
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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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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2007
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-007-0274-7