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Bento \textit{et al.} [Phys. Rev. E 91, 022105 (2015)] recently stated that the Tsallis entropy violates the third law of thermodynamics for $0 < q <1$ in the sub-additive regime. We first show that the division between the regimes $q < 1$…

统计力学 · 物理学 2016-02-24 G. Baris Bagci , Thomas Oikonomou

Two important problems existing in Tsallis' statistics are investigated, where one is whether energy is extensive or not, and the other is whether it is necessary to introduce the so-called generalized zeroth law of thermodynamics or not.…

统计力学 · 物理学 2007-05-23 Congjie Ou , Jincan Chen

The nonextensive statistics based on Tsallis entropy have been so far used for the systems composed of subsystems having same $q$. The applicability of this statistics to the systems with different $q$'s is still a matter of investigation.…

统计力学 · 物理学 2007-05-23 Qiuping A. Wang

We show that there exists a natural way to define a condition of generalized thermal equilibrium between systems governed by Tsallis thermostatistics, under the hypotheses that i) the coupling between the systems is weak, ii) the structure…

统计力学 · 物理学 2007-09-17 Massimo Marino

The second law of thermodynamics in nonextensive statistical mechanics is discussed in the quantum regime. Making use of the convexity property of the generalized relative entropy associated with the Tsallis entropy indexed by q, Clausius'…

统计力学 · 物理学 2009-11-10 Sumiyoshi Abe , A. K. Rajagopal

Tsallis' thermostatistics is by now recognized as a new paradigm for statistical mechanical considerations. However, it is still affected by a serious hindrance: the generalization of thermodynamics' zero-th law to a nonextensive scenario…

统计力学 · 物理学 2009-10-31 S. Martinez , F. Pennini , A. Plastino

The example provided in the comment [arXiv:0803.2241] concerns a situation where the system is initially at negative temperature. It is known that in such cases the Law of Entropy Decrease holds. Nevertheless, this does not challenge the…

量子物理 · 物理学 2008-04-09 Michele Campisi

The property of Tsallis entropy is examined when considering tow systems with different temperatures to be in contact with each other and to reach the thermal equilibrium. It is verified that the total Tsallis entropy of the two systems…

统计力学 · 物理学 2015-08-10 Jiulin Du

In this letter, we study the limit behavior of the evolution of Tsallis entropy in self-gravitating systems. The study is carried out under two different situations, drawing the same conclusion. No matter in the energy transfer process or…

统计力学 · 物理学 2017-10-11 Yahui Zheng , Jiulin Du , Faku Liang

The equivalence between Tsallis Thermodynamics and Hill Nanothermodynamics is established. The correct thermodynamic forces in Tsallis thermodynamics are pointed out. Through this connection we also find a general expression for the…

统计力学 · 物理学 2009-11-11 V. Garcia-Morales , J. Cervera , J. Pellicer

Thermodynamics, the branch of physics concerned with the description of macroscopic bodies, heat exchange and the conversion of different forms of energy is based on four laws: the zeroth law, which states that bodies in thermal contact…

统计力学 · 物理学 2020-01-21 Dragos-Victor Anghel

We consider open quantum systems consisting of a finite system of independent fermions with arbitrary Hamiltonian coupled to one or more equilibrium fermion reservoirs (which need not be in equilibrium with each other). A strong form of the…

介观与纳米尺度物理 · 物理学 2019-09-04 Abhay Shastry , Yiheng Xu , Charles A. Stafford

Previous results on Renyi and Wang's formalism of the Tsallis thermostatics are founded by using an extensive variable z connected to the entropic parameter q. It is shown that in the thermodynamical limit both the Tsallis and Renyi…

统计力学 · 物理学 2007-05-23 A. S. Parvan , T. S. Biro

The entropy shows an unavoidable tendency of disorder in thermostatistics according to the second thermodynamics law. This provides a minimization entropy principle for quantum thermostatistics with the von Neumann entropy and nonextensive…

量子物理 · 物理学 2021-04-09 M. X. Luo , X. Wang

In this paper we derived a 6N dimensional non-homogeneous evolution equation of Tsallis non-equilibrium entropy; presented a formula for entropy production rate (i.e. the law of entropy increase) for Tsallis entropy only when its index q>0,…

统计力学 · 物理学 2014-06-10 Xing Xiu-San

This article describes the third law of thermodynamics. This law is often poorly known and is often decried, or even considered optional and irrelevant to describe weather and climate phenomena. This, however, is inaccurate and contrary to…

大气与海洋物理 · 物理学 2019-12-02 Pascal Marquet

We have shown that the weak-coupling limit superconductors are well described by $ q \sim 1 $, where $ q $ is a real parameter which characterizes the degree of nonextensivity of Tsallis' entropy. Nevertheless, small deviations with respect…

超导电性 · 物理学 2020-10-07 Lizardo H. C. M. Nunes , E. V. L. de Mello

The thermodynamic stability condition (TSC) of Tsallis' entropy is revisited. As Ramshaw [Phys. Lett. A {\bf 198} (1995) 119] has already pointed out, the concavity of Tsallis' entropy with respect to the internal energy is not sufficient…

统计力学 · 物理学 2009-11-07 T. Wada

There would be a perfect correspondence between the laws of classical thermodynamics and black hole thermodynamics, except for the apparent failure of black hole thermodynamics to correspond to the Third Law. The classical Third Law of…

综合物理 · 物理学 2007-05-23 A. J. Meyer

Tsallis' 'statistical thermodynamic' formulation of the nonadditive entropy of degree-\alpha is neither correct nor self-consistent.

统计力学 · 物理学 2007-05-23 B. H. Lavenda , J. Dunning-Davies
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