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Symbolic Test of the Jacobi Identity for Given Generalized 'Poisson' Bracket
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Organization: | ETH Zürich, Institute of Polymers, Zürich, and Technische Universitat, Berlin |
Organization: | ETH Zürich, Institute of Polymers, Zürich |
Organization: | ETH Zürich, Institute of Polymers, Zürich |
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Computer Physics Communications |
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The problem is to evaluate single and nested arbitrary generalized Poisson brackets and the cyclic sum of these in order to test the Jacobi identity on a given state space for systems described in terms of discrete or of continuous variables. The Jacobi identity has to be fulfilled for Poisson brackets consistently describing the reversible dynamics of physical systems as desired, e.g., within the framework of nonequilibrium thermodynamics [1-3].
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Jacobi identity, Poisson brackets, GENERIC, nonequilibrium thermodynamics, reversible motion, symbolic programming
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