Physical temperature and the meaning of the q parameter in Tsallis statistics
classification
❄️ cond-mat.stat-mech
keywords
connectionsparametertemperaturetsallisbetacapacityconstantcoupled
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We show that the function beta(E) derived from the density of states of a constant heat capacity reservoir coupled to some system of interest is not identical to the physically measurable (transitive) temperature. There are, however, connections between the two quantities as well as with the Tsallis parameter q. We exemplify these connections using the one-dimensional Ising model in the "dynamical ensemble".
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Momentum distribution and correlation function of free particles in the Tsallis statistics using conventional expectation value and equilibrium temperature
Derives q-dependent momentum distribution and non-zero correlations for free particles in Tsallis statistics using physical temperature, valid for 1-1/(3N/2+1) < q < 1.
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