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• W1832564920 abstract "We study the statistical mechanics of a general Hamiltonian system in the context of symplectic structure of the corresponding phase space. This covariant formalism reveals some interesting correspondences between properties of the phase space and the associated statistical physics. While topology, as a global property, turns out to be related to the total number of microstates, the invariant measure which assigns {it a priori} probability distribution over the microstates, is determined by the local form of the symplectic structure. As an example of a model for which the phase space has a nontrivial topology, we apply our formulation on the Snyder noncommutative space-time with de Sitter four-momentum space and analyze the results. Finally, in the framework of such a setup, we examine our formalism by studying the thermodynamical properties of a harmonic oscillator system." @default.
• W1832564920 created "2016-06-24" @default.
• W1832564920 creator A5010161607 @default.
• W1832564920 creator A5050149836 @default.
• W1832564920 creator A5065300273 @default.
• W1832564920 creator A5089226224 @default.
• W1832564920 date "2015-07-06" @default.
• W1832564920 modified "2023-09-30" @default.
• W1832564920 title "Noncommutative spaces and covariant formulation of statistical mechanics" @default.
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