title: Dissipative process under a boundary perturbation.
abstract: A dissipative process in systems subjected to a boundary perturbation is analyzed on the basis of quantum mechanics. We show that the response of the system to the perturbation can be expressed in terms of the first-passage time defined appropriately by quantum mechanics. In other words, the first-passage-time distribution plays the role of the response function in the linear response theory. We apply this formalism to the one-dimensional Anderson model in which a current is introduced at one end of the system and the other is connected to an absorbing wall. We find that the frequency-dependent oscillations of the susceptibility reflect the narrowness of the first-passage-time distribution in disordered systems.
authors.affiliation: Department of Physics, Kyushu University, Fukuoka 812-8581, Japan. t.okubo@cmt.phys.kyushu-u.ac.jp
authors.forename: Tsuyoshi
authors.initials: T
authors.lastname: Okubo
authors.forename: Takashi
authors.initials: T
authors.lastname: Odagaki