Coarse-graining and symplectic non-squeezing
arXiv:2106.14154 · doi:10.1016/j.physa.2021.126720
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.
arXiv comment22 pages, No figures, Standard LaTeX2e
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