Tsallis power laws and finite baths with negative heat capacity
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Date
2013
Authors
Baris Bagci, G.
Oikonomou, Th.
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Abstract
It is often stated that heat bathswith finite degrees of freedom i.e., finite baths, are sources of Tsallis distributions for classical Hamiltonian systems. By using well-known fundamental statistical mechanics expressions, we rigorously show that Tsallis distributions with fat tails are possible only for finite baths with constant negative
heat capacity, while constant positive heat capacity finite baths yield decays with sharp cutoff with no fat tails. However, the correspondence between Tsallis distributions and finite baths holds at the expense of violating the equipartition theorem for finite classical systems at equilibrium. We comment on the implications of the finite bath for the recent attempts towards a q-generalized central limit theorem
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Keywords
Research Subject Categories::NATURAL SCIENCES::Physics, Tsallis power laws
Citation
G. Baris Bagci, Thomas Oikonomou; 2013; Tsallis power laws and finite baths with negative heat capacity; Physical review E; http://journals.aps.org/pre/abstract/10.1103/PhysRevE.88.042126