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Prog. Theor. Phys. Vol. 77 No. 4 (1987) pp. 825-844

Non-Equilibrium Thermodynamics and Its Corrections to Thermal Equilibrium

Reijiro Fukuda

Department of Physics, Faculty of Science and Technology, Keio University, Yokohama 223

(Received October 18, 1986)

Abstract:

Non-equibrium thermodynamics is discussed by integrating the equation of motion with an initial condition on the density matrix. Using the adiabatic theorem, exact expressions for the lowest correction terms to the equilibrium thermodynamics are given. They are written in terms of the Green's functions or the generating functional of the Green's functions. Phenomenological coefficients are determined appearing in various equations of the non-equilibrium processes; the increase of the internal energy by the non-adiabatic external force, increase of the entropy for the isolated system.

URL : http://ptp.ipap.jp/link?PTP/77/825/
DOI : 10.1143/PTP.77.825

[ Full Text PDF : FREE ACCESS (856K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. T. Arimitsu and H. Umezawa, Prog. Theor. Phys. 74 (1985), 429[PTP]; ibid. 77 (1987), 32[PTP]; ibid. 77 (1987), 53[PTP].
2. J. Schwinger, J. Math. Phys. 2 (1961), 407[CrossRef].
   For an extensive discussion, see K. Chou, Z. Su, B. Hao and L. Yu, Phys. Rep. 118 (1985), 1[CrossRef].
3. R. Kubo, J. Phys. Soc. Jpn. 12 (1957), 570[JPSJ].
4. See for example, L. D. Landau and E. M. Lifshiz, “Physical Kinetics”, Course of Theoretical Physics, ed. E. M. Lifshiz and L. P. Pitaevskii (Pergamon Press, Oxford), vol. 10.
5. L. V. Keldysh, Sov. Phys. -JETP 20 (1965), 1018.
6. M. Gell-Mann and F. E. Low, Phys. Rev. 84 (1951), 350[APS].
7. L. P. Kadanoff and P. C. Martin, Ann. of Phys. 24 (1963), 419[CrossRef].
8. D. Forster, Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions (W. A. Benjamin Inc., 1983).

Citing Article(s) :

1. Journal of the Physical Society of Japan 59 (1990) pp. 3553-3562 :

   Classical Limit of the Generating Functional for the Non-Equilibrium Statistical Mechanics

   Masayoshi Sumino and Reijiro Fukuda

2. Progress of Theoretical Physics Vol. 77 No. 4 (1987) pp. 845-863 :

   Non-Equilibrium Thermodynamics and Its Corrections to Thermal Equilibrium. II

   Reijiro Fukuda

3. Progress of Theoretical Physics Vol. 86 No. 3 (1991) pp. 617-651 :

   The Generating Functional of the Non-Equilibrium Process

   Masayoshi Sumino, Reijiro Fukuda and Hitoshi Higurashi

4. Progress of Theoretical Physics Vol. 92 No. 4 (1994) pp. 833-862 :

   Density Functional Theory through Legendre Transformation

   Reijiro Fukuda, Takao Kotani, Yoko Suzuki and Satoshi Yokojima

5. Progress of Theoretical Physics Vol. 102 No. 6 (1999) pp. 1065-1084 :

   Microscopic Basis for Onsager-Machlup Theory

   Jun Koide

6. Progress of Theoretical Physics Supplement No.121 (1995) pp. 1-428 :

   Novel Use of Legendre Transformation in Field Theory and Many Particle Systems

   Reijiro Fukuda, Masahiro Komachiya, Satoshi Yokojima, Yoko Suzuki, Ko Okumura and Takeshi Inagaki

7. Progress of Theoretical Physics Supplement No.182 (2009) pp. 1-208 :

   Stationary Phase and Macrovariable

   Reijiro Fukuda

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