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Prog. Theor. Phys. Vol. 71 No. 6 (1984) pp. 1152-1168
On Statistical Mechanics of Nonequilibrium Fluctuations
Masakazu Ichiyanagi
Department of Applied Physics, Osaka University, Suita 565
(Received December 22, 1983)
Abstract:
Without assuming detailed balance, the linear response theory of systems, in which the notation of a quantum dynamical semigroup can be defined, is discussed. This theory is used to prove a fluctuation-dissipation theorem for nonstationary nonequilibrium states. We propose an extended version of the Liouville equation in which we incorporate the stochastic behavior of the subsystem of the macroscopic motions. For this we introduce a non-Hermitian Hamiltonian and set a Liouville equation for a density matrix which is not Hermitian. We show that a response to external perturbations reduces to a sum of two contributions, one for which an improved fluctuation-dissipation theorem is proved and the other due to stochastic excitations that does not satisfy a reciprocity relation of Onsager type.
URL :
http://ptp.ipap.jp/link?PTP/71/1152/
DOI : 10.1143/PTP.71.1152
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