Hierarchical structure of irreversible processes deduced from the dynamical semi-group theory

Progress of Theoretical Physics

Volumn 96, Issue 1, 1996, Pages 37-57

  Ichiyanagi, Masakazu ^a  

^a Gifu University of Economics   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030519001     PISSN: 0033068X     EISSN: None     Source Type: Journal    
DOI: 10.1143/ptp.96.37     Document Type: Article

References (29)

1. W. Pauli, Probleme der Moderenen Physik, Festschrift zum 60 Geburtstage A. Sommerfelds (Leipzig, 1928), p. 30.
2. L. van Hove, Physica 21 (1955), 517.
3. J. Ford, M. Kac and P. Mazur, J. Math. Phys. 4 (1965), 1293.
4. A. Kossakowski, Rep. Math. Phys. 3 (1972), 247. V. Gorini, A. Frigerio, M. Verri, A. Kossakowski and E. C. G. Sudarshan, Rep. Math. Phys. 13 (1978), 149. R. Alicki, Phys. Rev. A40 (1989), 4077.
5. A. Kossakowski, Rep. Math. Phys. 3 (1972), 247. V. Gorini, A. Frigerio, M. Verri, A. Kossakowski and E. C. G. Sudarshan, Rep. Math. Phys. 13 (1978), 149. R. Alicki, Phys. Rev. A40 (1989), 4077.
6. A. Kossakowski, Rep. Math. Phys. 3 (1972), 247. V. Gorini, A. Frigerio, M. Verri, A. Kossakowski and E. C. G. Sudarshan, Rep. Math. Phys. 13 (1978), 149. R. Alicki, Phys. Rev. A40 (1989), 4077.
7. E. B. Davies, Quantum Theory of Open Systems (Academic, London, 1976).
8. G. Lindblad, Nonequilibrium Entropy and Irreversibility (Reidel, Dordrecht, 1983).
9. I. Ojima, J. Stat. Phys. 56 (1989), 203.
10. D. Jou, J. Casas-Vazquez and G. Lebon, Extended Irreversible Thermodynamics (Springer, Berlin, 1993). B. C. Eu, Kinetic Theory and Irreversible Thermodynamics (Wiley, New York, 1992). I. Müller and T. Ruggeri, Extended Thermodynamics (Springer, Berlin, 1993).
11. D. Jou, J. Casas-Vazquez and G. Lebon, Extended Irreversible Thermodynamics (Springer, Berlin, 1993). B. C. Eu, Kinetic Theory and Irreversible Thermodynamics (Wiley, New York, 1992). I. Müller and T. Ruggeri, Extended Thermodynamics (Springer, Berlin, 1993).
12. D. Jou, J. Casas-Vazquez and G. Lebon, Extended Irreversible Thermodynamics (Springer, Berlin, 1993). B. C. Eu, Kinetic Theory and Irreversible Thermodynamics (Wiley, New York, 1992). I. Müller and T. Ruggeri, Extended Thermodynamics (Springer, Berlin, 1993).
13. A. Wehrl, Rev. Mod. Phys. 50 (1978), 221.
14. I. Ojima, H. Hasegawa and M. Ichiyanagi, J. Stat. Phys. 50 (1988), 633.
15. H. Spohn and J. L. Lebowitz, Adv. Chem. Phys. 38 (1978), 109.
16. W. T. Grandy Jr., Phys. Rep. 62 (1980), 175.
17. E. Fick and G. Sauermann, The Quantum Statistics of Dynamic Processes (Springer, Berlin, 1990). Chapter 5.
18. D. Jou, C. Perez-Garcia and J. Casas-Vazquez, J. of Phys. A17 (1984), 2799.
19. B. Robertson, Phys. Rev. 144 (1966), 151.
20. H. Mori, I. Oppenheim and J. Ross. in Studies in Statistical Mechanics, vol. 1, ed. J. De Boer and G. E. Uhlenbeck, (North Holland, Amsterdam, 1962), p. 217.
21. P. G. Bergmann and J. L. Lebowitz, Phys. Rev. 99 (1955), 578. J. L. Lebowitz, Phys. Rev. 114 (1959), 1192.
22. P. G. Bergmann and J. L. Lebowitz, Phys. Rev. 99 (1955), 578. J. L. Lebowitz, Phys. Rev. 114 (1959), 1192.
23. P. F. Palmer, J. Math. Phys. 18 (1976), 527.
24. L. Boltzmann, Lectures on Gas Theory (Univ. California, Berkely, 1964).
25. E. T. Jaynes, Information Theory and Statistical Mechanics, in Statistical Physics (1962 Brabdeis Lectures), ed. W. K. Ford (Benjamin, 1963). See also, E. T. Jaynes, in The Maximum Entropy Formalism, ed. R. D. Levine and M. Tribus (MIT Press, 1978), p. 15.
26. E. T. Jaynes, Information Theory and Statistical Mechanics, in Statistical Physics (1962 Brabdeis Lectures), ed. W. K. Ford (Benjamin, 1963). See also, E. T. Jaynes, in The Maximum Entropy Formalism, ed. R. D. Levine and M. Tribus (MIT Press, 1978), p. 15.
27. M. Ichiyanagi, J. Phys. Soc. Jpn. 64 (1995), 4628.
28. K. Hepp and E. H. Lieb, Helv. Phys. Acta 46 (1973), 573.
29. E. B. Davies, Commun. Math. Phys. 39 (1974), 91.