Model-free derivations of the Tsallis factor: constant heat capacity derivation

摘要

The simple model-free derivations of the Boltzmann factor are extended by assuming the existence of an environment with a constant heat capacity in order to derive the Tsallis q-exponential factor, which reduces to the Boltzmann factor in the q --> I limit. It is shown that a constant of integration T-c in the constant heat capacity derivation is related with the nonintensive generalized temperature T-q, which is the thermal conjugate quantity of Tsallis' entropy S-q. (C) 2003 Elsevier B.V. All fights reserved. [References: 22]