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H-theorem for an infinite, one-dimensional, hard-point system

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Abstract

We use a well-studied soluble model to define a nonequilibrium entropy. This entropy has all the required properties; in particular, it is not time-reversal invariant, so that its monotonic increase in time also shows up after we perform a velocity inversion “experiment.”

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Supported financially by the Belgian Government, Actions de Recherches Concertées, Convention 76/81, II.3.

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Mareschal, M. H-theorem for an infinite, one-dimensional, hard-point system. J Stat Phys 24, 139–157 (1981). https://doi.org/10.1007/BF01007640

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  • DOI: https://doi.org/10.1007/BF01007640

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