Heat and entropy in nonextensive thermodynamics

Continuum Mechanics and Thermodynamics

Volumn 16, Issue 3, 2004, Pages 257-261

  Rajagopal, A K ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

Boltzmann Gibbs and Tsallis approaches; Entropy; Heat; Kullback Leibler relative entropy

Indexed keywords

EID: 2342603486     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-003-0154-0     Document Type: Article

References (16)

1. Reif, F.: Statistical Mechanics and Thermal Physics, Sect. 6.6, McGraw-Hill New York (1965)
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3. Abe, S., Okamoto, Y.(eds): Nonextensive Statistical Mechanics and its Applications, Springer Heidelberg (2001)
4. Kaniadakis, G., Lissio, M., Rapisarda, A. (eds): Special Issue "Non-Extensive Thermodynamics and Physical Applications". Physica A 305, 1/2 (2002)
5. Gell-Mann, M., Tsallis, C. (eds): Non-Extensive Entropy - Interdisciplinary Applications, Oxford University Press Oxford (to appear)
6. Swinney, H., Tsallis, C. (eds): Special Issue "Anomalous Distributions, Nonlinear Dynamics, and Nonextensivity". Physica D (to appear)
7. Abe, S.: Heat and entropy in nonextensive thermodynamics: transmutation from Tsallis theory to Rényi-entropy-based theory. Physica A 300, 417-423 (2001); also: Macroscopic thermodynamics based on composable nonextensive entropies. Physica A 305, 62-68 (2002)
8. Abe, S.: Heat and entropy in nonextensive thermodynamics: transmutation from Tsallis theory to Rényi-entropy-based theory. Physica A 300, 417-423 (2001); also: Macroscopic thermodynamics based on composable nonextensive entropies. Physica A 305, 62-68 (2002)
9. Lindblad, G.: Generators of quantum dynamical semigroups. Commun. Math. Phys. 48, 119-130 (1976); see also Gorini, V., Kossakowski, A., Sudarshan, E.C.G.: Completely positive dynamical semigroups this of N-level systems. J. Math. Phys. 17, 821-825 (1976); and see also Banks, T., Susskind, L., Peskin, M.E.: Difficulties for the evolution of pure state into mixed state. Nucl. Phys. B 244, 125-134 (1984)
10. Lindblad, G.: Generators of quantum dynamical semigroups. Commun. Math. Phys. 48, 119-130 (1976); see also Gorini, V., Kossakowski, A., Sudarshan, E.C.G.: Completely positive dynamical semigroups this of N-level systems. J. Math. Phys. 17, 821-825 (1976); and see also Banks, T., Susskind, L., Peskin, M.E.: Difficulties for the evolution of pure state into mixed state. Nucl. Phys. B 244, 125-134 (1984)
11. Lindblad, G.: Generators of quantum dynamical semigroups. Commun. Math. Phys. 48, 119-130 (1976); see also Gorini, V., Kossakowski, A., Sudarshan, E.C.G.: Completely positive dynamical semigroups this of N-level systems. J. Math. Phys. 17, 821-825 (1976); and see also Banks, T., Susskind, L., Peskin, M.E.: Difficulties for the evolution of pure state into mixed state. Nucl. Phys. B 244, 125-134 (1984)
12. Rajagopal, A.K., Rendell, R.W., Abe, S.: Aspects of second law of thermodynamics from quantum statistical mechanics to quantum information theory. In: Sheehan, A.D. (ed) First International Conference on Quantum Limits to Second Law, AIP Conf. Proc. #643, pp. 47-52 (2002)
13. Alicki, R.: Lecture at 38 Winter School of Theoretical Physics. Ladek, Poland (2002), e-print: quant-ph/0205188; see also Rajagopal, A.K., Rendell, R.W.: Dissipative quantum theory: implications for quantum entanglement. Physica A 305, 297-304 (2002)
14. Alicki, R.: Lecture at 38 Winter School of Theoretical Physics. Ladek, Poland (2002), e-print: quant-ph/0205188; see also Rajagopal, A.K., Rendell, R.W.: Dissipative quantum theory: implications for quantum entanglement. Physica A 305, 297-304 (2002)
15. Rajagopal, A.K.: The principle of detailed balance and the Lindblad dissipative quantum dynamics. Phys. Lett. A 246, 237-241 (1998)
16. Abe, S., Rajagopal, A.K.: Validity of the second law in nonextensive quantum Thermodynamics. Phys. Rev. Lett. 91, 120601-1-3 (2003) e-print: cond-mat/0304066