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

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  • Calbet, Xavier
  • López-Ruiz, Ricardo

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.

Suggested Citation

  • Calbet, Xavier & López-Ruiz, Ricardo, 2009. "Extremum complexity in the monodimensional ideal gas: The piecewise uniform density distribution approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(20), pages 4364-4378.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:20:p:4364-4378
    DOI: 10.1016/j.physa.2009.06.049
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    References listed on IDEAS

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    1. Martin, M.T. & Plastino, A. & Rosso, O.A., 2006. "Generalized statistical complexity measures: Geometrical and analytical properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 439-462.
    2. Calbet, Xavier & López-Ruiz, Ricardo, 2007. "Extremum complexity distribution of a monodimensional ideal gas out of equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 523-530.
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