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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Latex, 8 pages, no figures

Scientific paper

10.1016/j.physa.2004.10.031

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.

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