Prog. Theor. Phys. Vol. 54 No. 4 (1975) pp. 1093-1098
Nonlinear Effects on the Linear Transport Coefficients
Department of Theoretical Chemistry, The University of Sydney, N.S.W. 2006, Australia
(Received February 7, 1975)
A rederivation of Mori's exact linear transport theory is given on the assumption that the chosen variables change slowly on the scale of the typical relaxation time in the part of Hilbert space which is orthogonal not only to the chosen variables themselves but also to all their order products. The results show how coupling between the chosen variables and their higher order products enters the linear theroy giving rise to long-lived memory effects and fluctuating forces.
DOI : 10.1143/PTP.54.1093
- M. Bixon and R. Zwanzig, J. Stat. Phys. 3 (1971), 245.
- R. Zwanzig, Proceedings of the Sixth IUPAP Conference on Statistical Mechanics, ed. by S. A. Rice, K. F. Freed and J. Light (Univ. of Chicago Press, 1972).
- H. Mori and H. Fujisaka, Prog. Theor. Phys. 49 (1973), 764[PTP].
K. Kawasaki, Ann. of Phys. 61 (1970), 1[CrossRef];
J. of Phys. A 6 (1973), 1289[CrossRef].
T. Keyes and I. Oppenheim, Phys. Rev. A 7 (1973), 1384[APS].
R. Kapral and M. Weinberg, Phys. Rev. A 8 (1973), 1008[APS].
D. Bedeaux and P. Mazur, Physica 73 (1974), 431[CrossRef].
- K. S. J. Nordholm and R. Zwanzig, J. Stat. Phys. 11 (1974), 143.
- H. Mori, Prog. Theor. Phys. 33 (1965), 423[PTP].
- K. S. J. Nordholm, “Nonlinearities and Fluctuations in Microscopic Transport Theory”, Dissertation, The University of Maryland, 1972.
S. Nordholm and R. Zwanzig, to be published.
- H. Mori, H. Fujisaka and H. Shigematsu, Prog. Theor. Phys. 51 (1974), 109[PTP].