Nonextensive thermodynamic relations
Abstract
The generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier, beta. This leads to modifications of some of thermodynamic relations for nonextensive systems. Here, taking the first law of thermodynamics and the Legendre transform structure as the basic premises, it is found that Clausius' definition of the thermodynamic entropy has to be appropriately modified. It is also shown that the definitions of specific heat and pressure remain form invariant. Thus, the thermodynamic relations proposed by Tsallis, Mendes and Plastino [Physica A 261 (1998) 534] are rectified. As an application, the classical gas model is reexamined and, in marked contrast with the previous result using the unphysical temperature, the specific heat is found to be positive.Keywords
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