Nonextensive thermodynamic relations
By S. Abe, S. Martínez, F. Pennini, A. Plastino. 2000
215 citations recorded by the source corpus.
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, and accordingly the thermodynamic relations proposed by Tsallis, Mendes and Plastino [Physica A 261 (1998) 534] are also to be rectified. It is shown that the definition of specific heat and the equation of state remain form invariant. As an application, the classical gas model is reexamined and, in marked contrast with the previous result obtained by Abe [Phys. Lett. A 263 (1999) 424: Erratum A 267 (2000) 456] using the unphysical temperature and the unphysical pressure, the specific heat and the equation of state are found to be similar to those in ordinary extensive thermodynamics.
Subfields: Mechanics of Materials, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/5e4fb3c6ca25609c261e982eb346bf2ed01dccf5
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mechanics of Materials
In Statistical and Nonlinear Physics
- George Livadiotis
- David John McComas
- Constantino Tsallis
- L. Jost
- V. Pierrard
- M. Lazar
- Hans J. Haubold
- Arak M. Mathai
Citations in the corpus
- Nonextensive statistical mechanics: A brief introduction (2003, background): “[6], is defined by the expression Tq = ( 1 + 1− q k Sq ) 1 kβ .”
- INVARIANT KAPPA DISTRIBUTION IN SPACE PLASMAS OUT OF EQUILIBRIUM (2011, background): “…tools for understanding these distributions, including a consistent definition of temperature for non-equilibrium systems (e.g., see Abe 2001; Abe et al. 2001; Rama 2000; Livadiotis & McComas 2009, 2010a), and the physical meaning of the kappa index as a measure of how far a stationary state…”