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Stability of families of probability distributions under reduction of the number of degrees of freedom

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  • Vignat, Christophe
  • Naudts, Jan

Abstract

We consider two classes of probability distributions for configurations of the ideal gas. They depend only on kinetic energy and they remain of the same form when degrees of freedom are integrated out. The relation with equilibrium distributions of Tsallis’ thermostatistics is discussed.

Suggested Citation

  • Vignat, Christophe & Naudts, Jan, 2005. "Stability of families of probability distributions under reduction of the number of degrees of freedom," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 296-302.
    • Handle: RePEc:eee:phsmap:v:350:y:2005:i:2:p:296-302
    DOI: 10.1016/j.physa.2004.10.031
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    References listed on IDEAS

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    1. Latora, Vito & Rapisarda, Andrea & Tsallis, Constantino, 2002. "Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(1), pages 129-136.
    2. Naudts, Jan, 2004. "Generalized thermostatistics and mean-field theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 332(C), pages 279-300.
    3. Upadhyaya, Arpita & Rieu, Jean-Paul & Glazier, James A. & Sawada, Yasuji, 2001. "Anomalous diffusion and non-Gaussian velocity distribution of Hydra cells in cellular aggregates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 293(3), pages 549-558.
    4. Tsallis, Constantino & Mendes, RenioS. & Plastino, A.R., 1998. "The role of constraints within generalized nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 534-554.
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