منابع مشابه
Equilibrium States for Classical Systems
It is shown that the Dobrushin-Lanford-Ruelle equations for the probability measure μ, and the Kirkwood-Salsburg type equations for the lattice or continuum correlation functions ρ, and for the spin correlation functions σ, are essentially equivalent for all ρ, σ, and μ satisfying certain boundedness conditions. It is also noted that the lattice equations are identical to the equations for the ...
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We prove that any stationary state describing an infinite classical system which is "stable" under local perturbations (and possesses some strong time clustering properties) must satisfy the "classical" KMS condition. (This in turn implies, quite generally, that it is a Gibbs state.) Similar results have been proven previously for quantum systems by Haag et al. and for finite classical systems ...
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It is shown that for any KMS-state of a classical system of noncoincident particles, the distribution functions are absolutely continuous with respect to Lebesgue measure; the equivalence between KMS states and Canonical Gibbs States is then established.
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Notions of robust and " classical " states for an open quantum system are introduced and discussed in the framework of the isometric-sweeping decomposition of trace class operators. Using the predictability sieve proposed by Zurek, " quasi-classical " states are defined. A number of examples illustrating how the " quasi-classical " states correspond to classical points in phase space connected ...
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Systems characterized by more than one temperature usually appear in nonequilibrium statistical mechanics. In some cases, e.g., glasses, there is a temperature at which fast variables become thermalized, and another case associated with modes that evolve towards an equilibrium state in a very slow way. Recently, it was shown that a system of vortices interacting repulsively, considered as an ap...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1975
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01608543