Abstract
A theory of macroscopic systems which takes as independent variables the slow (conserved) ones plus the fast dissipative fluxes is carefully analyzed at three levels of description: macroscopic (thermodynamic), microscopic (projection operators) and mesoscopic (fluctuation theory). Such a description is compared with the memory function approach based only on the conserved variables. We find that the first theory is richer and wider than the second one, and some misunderstandings in this connection are clarified and discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
The Collected Papers of James C. Maxwell, Vol. II, W. D. Niven, ed. (Dover, New York, 1965), p. 30.
H. Grad,Principles of the Kinetic Theory of Gases, Handbuch der Physik, Vol. XII, S. Flugge, ed. (Springer-Verlag, Berlin, 1958), p. 205.
C. Cattaneo, Atti dei seminario matematics e fisico delli,Universitá di Modena 3:3 (1948);C. R. Acad. Sci. (Paris) 247 (1948).
P. Vernotte,C. R. Acad. Sci. (Paris),246:3154 (1958).
L. Onsager and S. Machlup,Phys. Rev. 91:1505 (1958).
R. E. Nettleton,Phys. Fluids 2:256 (1959);3:237 (1960).
I. Müller,Z. Phys. 198:329 (1967).
J. Casas-Vázquez, D. Jou, and G. Lebon, eds.Recent Developments in Non-Equilibrium Thermodynamics, Lecture Notes in Physics (Springer, Berlin, 1984) (No. 199).
D. Jou, J. Casas-Vázquez, and J. Lebon,J. Non-Equilib. Thermodyn. 4:344 (1979).
L. S. Garcia-Colin and S. M. T. de la Selva,J. Non-Equilib. Thermodyn. 8:277 (1983).
L. S. Garcia-Colin and M. Lopez de Haro,J. Non-Equilib. Thermodyn. 7:95 (1982).
D. Jou, C. Pérez-Garcia, M. López de Haro, R. F. Rodriguez, and L. S. Garcia-Colin (to be published).
R. E. Nettleton,J. Chem. Phys. 40:112 (1964).
R. Zwanzig,Phys. Rev. 124:983 (1961).
L. S. Garcia-Colin and G. Fuentes,J. Stat. Phys. 29:387 (1982).
J. Keizer,J. Stat. Phys. 31:485 (1983).
L. S. Garcia-Colin and J. L. del Rio,Physica 96A:606 (1979).
J. L. del Rio and L. S. Garcia-Colin,Rev. Mex. Fis. 28:57 (1981).
R. Zwanzig,J. Chem. Phys. 40:2527 (1964).
J. P. Boon and S. Yip,Molecular Hydrodynamics (McGraw-Hill, New York, 1979).
D. Jou, J. M. Rubi, and J. Casas-Vázquez,Physica 101A:588 (1980); D. Jou and J. Casas-Vázquez,J. Non-Equilib. Thermodyn. 5:91 (1980).
D. Jou and T. Careta,J. Phys. A A15:3195 (1982).
L. Landau and E. Lifshitz,Fluid Mechanics (Addison-Wesley, New York, 1959), Chap. XII.
R. F. Fox and G. E. Uhlenbeck,Phys. Fluids 13:1893 (1970);13:2881 (1970).
L. S. Garcia-Colin, inRecent Developments in Nonequilibrium Thermodynamics, Ref. 8.
L. Onsager and S. Machlup,Phys. Rev. 91, 1512 (1953).
J. Casas-Vázquez and D. Jou, inRecent Developments in Nonequilibrium Thermodynamics, Ref. 8.
H. B. Callen,Thermodynamics (J. Wiley, New York, 1962), Chap. XV.
H. B. G. Casimir,Rev. Mod. Phys. 17:343 (1945).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Garcia-Colin, L.S., de Haro, M.L., Rodriguez, R.F. et al. On the foundations of extended irreversible thermodynamics. J Stat Phys 37, 465–484 (1984). https://doi.org/10.1007/BF01011845
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01011845