Abstract
Up to now we have developed a thermodynamic formalism which leads to evolution equations for the dissipative fluxes. In the third part of this book, we shall present many illustrations of how these equations are useful in interpreting experimental data or dealing with situations which are beyond the scope of the classical theory. In this chapter, our interest is focused on the generalized Gibbs equation, which is the central thermodynamic result of extended irreversible thermodynamics. Our aim is to show that the generalized entropy plays an essential role in the description of the fluctuations around equilibrium states of not only the conserved variables but the dissipative fluxes, too.
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References
H. B. Callen, Thermodynamics, Wiley, New York, 1960.
A. Einstein, Ann. Phys. (Leipzig) 33 (1910) 1277.
D. Jou, J. M. Rubí, and J. Casas-Vázquez, Physica A 101 (1980) 588.
D. Jou and J. Casas-Vâzquez, J. Non-Equilib. Thermodyn. 5 (1980) 91. 4.5. M. Lax, Rev. Mod. Phys. 32 (1960) 25.
M. Lax, Rev. Mod. Phys. 32 (1960) 25.
L. D. Landau and E. M. Lifshitz, Statistical Physics, 3rd edn. Part 1, Pergamon, Oxford, 1980.
D. Jou, Physica A 155 (1989) 221.
L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Pergamon, Oxford, 1985.
M. Bixon and R. Zwanzig, Phys. Rev. 187 (1969) 267;
R. F. Fox and G.Uhlenbeck,Phys. Fluids 13 (1970) 1893, 2881;
J. Logan and M. Kac, Phys. Rev. A 13 (1976)130 4. Fluctuation Theory
L. Onsager and S. Machcup, Phys. Rev. 91 (1953) 1505;
L. Tisza and I. Manning, Phys. Rev. 105 (1957) 1695.
J. Keizer, J. Stat. Phys. 31 (1983) 485.
D. Jou, J. E. Llebot, and J. Casas-Vázquez, Physica A 109 (1981) 208.
H.Sato, J. Phys. Soc. Japan 44 (1978) 49;
R. Voss and J. Clarke, Phys. Rev. B 13 (1976) 287;
T. G. M. Kleipenning, Physica B 48 (1976) 353.
D. Pavón, D. Jou, and J. Casas-Vazquez, J. Phys. A 16 (1983) 775;
D. Jou and D. Pavón, Astrophys. J. 291 (1985) 447.
M. H. Ernst, Am. J. Phys. 38 (1970) 908.
C. K. Wong, J. A. McLennan, M. Lindenfeld, and J. W. Duffy, J. Chem. Phys. 68 (1978) 1563;
J. J. Brey, J. Chem. Phys. 79 (1983) 4585.
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© 1996 Springer-Verlag Berlin Heidelberg
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Jou, D., Casas-Vázquez, J., Lebon, G. (1996). Fluctuation Theory. In: Extended Irreversible Thermodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97671-1_4
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DOI: https://doi.org/10.1007/978-3-642-97671-1_4
Publisher Name: Springer, Berlin, Heidelberg
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