Tsallis power laws and finite baths with negative heat capacity

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Tsallis power laws and finite baths with negative heat capacity.

It is often stated that heat baths with 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 ...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2013

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.88.042126