Abstract:
The role the principle of correlation weakening and the ergodic relationships p!ay in determining
the secular terms (asymptotic operators) in the perturbation series for the density
matrix is considered. The asymptotic operators are used to find the approximate density
matrix at a simplified stage of the evolution and to find the density matrix's low-frequency
singular part, which determines the system's response to an external perturbation.
Citation:
S. V. Peletminskii, V. I. Prikhod'ko, “Method of asymptotic operators in statistical mechanics”, TMF, 12:1 (1972), 88–105; Theoret. and Math. Phys., 12:1 (1972), 680–691
This publication is cited in the following 8 articles:
Hervé Ness, “Nonequilibrium Thermodynamics and Steady State Density Matrix for Quantum Open Systems”, Entropy, 19:4 (2017), 158
H. Ness, “Nonequilibrium density matrix in quantum open systems: Generalization for simultaneous heat and charge steady-state transport”, Phys. Rev. E, 90:6 (2014)
Methods of Statistical Physics, 1981, 436
N. V. Laskin, S. V. Peletminskii, V. I. Prikhod'ko, “Kinetic theory of systems in random fields”, Theoret. and Math. Phys., 34:2 (1978), 154–162
M. Yu. Kovalevsky, S. V. Peletminskii, A. I. Sokolovsky, “Nonequilibrium entropy and symmetry principle of transport coefficients”, Theoret. and Math. Phys., 33:3 (1977), 1085–1093
V. P. Galaiko, “Relaxation of electrons on impurities in super conductors”, Theoret. and Math. Phys., 22:3 (1975), 264–274
G. O. Balabanyan, “Construction of kinetic equations for nonequilibrium quantum systems”, Theoret. and Math. Phys., 20:2 (1974), 802–811
S. V. Peletminskii, V. I. Prikhod'ko, “Method of asymptotic operators in statistical mechanics”, Theoret. and Math. Phys., 12:2 (1972), 823–837
Citation in format AMSBIB
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