Extremum complexity in the monodimensional ideal gas: The piecewise uniform density distribution approximation

Xavier Calbet and Ricardo López-Ruiz

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 20, 4364-4378

Abstract: The extremum complexity distribution is shown to be equivalent to a piecewise uniform distribution in the accessible N-dimensional phase space of a dynamical system. This leads to piecewise exponential functions as one-particle distribution functions. It seems plausible to use these distributions in some systems out of equilibrium, thus greatly simplifying their description. In particular, an isolated ideal monodimensional gas far from equilibrium follows two non-overlapping Gaussian distribution functions. This is demonstrated by numerical simulations. Also, some previous laboratory experiments with granular systems display this kind of distribution.

Keywords: Nonequilibrium systems; Ideal gas; Complexity (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:20:p:4364-4378

DOI: 10.1016/j.physa.2009.06.049

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