Coarse-graining and symplectic non-squeezing

Nikolaos Kalogeropoulos

Physica A: Statistical Mechanics and its Applications, 2022, vol. 589, issue C

Abstract: We address aspects of coarse-graining in classical Statistical Physics from the viewpoint of the symplectic non-squeezing theorem. We make some comments regarding the implications of the symplectic non-squeezing theorem for the BBGKY hierarchy. We also see the cubic cells appearing in coarse-graining as a direct consequence of the uniqueness of Hofer’s metric on the group of Hamiltonian diffeomorphisms of the phase space.

Keywords: Entropy; Coarse-graining; Symplectic non-squeezing; BBGKY hierarchy; Hofer’s metric (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:589:y:2022:i:c:s0378437121009328

DOI: 10.1016/j.physa.2021.126720

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