Prog. Theor. Phys. Vol. 66 No. 1 (1981) pp. 68-76
A Thermodynamic Variational Principle in Nonlinear Non-Equilibrium Phenomena
Research Institute of Electrical Communication, Tohoku University, Sendai 980
(Received July 16, 1980)
From a far-sighted viewpoint for a nonlinear non-equilibrium system including the reservoirs a principle of maximum increasing rate of the total entropy is proposed to describe non-equilibrium steady as well as non-steady phenomena. The conditions for the validity of this postulate are discussed and the principle was compared with Prigogine's general evolution criterion and minimum excess entropy production principle.
DOI : 10.1143/PTP.66.68
- See for example, Prog. Theor. Phys. Suppl. No. 64 (1978).
- P. G. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley-Interscience, London, 1971).
W. V. R. Malkus and G. Veronis, J. Fluid Mech. 4 (1958), 225[CrossRef].
A. Schluter, D. Lortz and F. Busse, J. Fluid Mech. 23 (1965), 129[CrossRef].
- P. H. Roberts, Non-Equilibrium Thermodynamics, Variational Technique and Stability, ed. R. J. Donelly, R. Herman and I. Prigogine (University of Chicago Press, 1964).
J. L. Lebowitz, Phys. Rev. 114 (1953), 1192[APS];
ibid. 128 (1962), 1945[APS].
J. S. Langer, Phys. Rev. Lett. 44 (1980), 1023[APS].
- C. Zener, Trans. AIME 167 (1946), 550.