On a coupled random walk process specified by a Hamiltonian |
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Authors: | Hiroaki Hara Sang Don Choi |
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Institution: | (1) Department of Physics and Astronomy, State University of New York at Buffalo, 14260 Amherst, New York, USA;(2) Present address: Department of Applied Science, Faculty of Engineering, Tohoku University, 980 Sendai, Japan |
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Abstract: | A coupled random walk process specified by an effective Hamiltonian in a potential field is proposed. The Hamiltonian is expressed in terms of a set of jumping probabilities which characterize the random walk processes. The steady state is expressed by the Hamiltonian. Conditions for the Hamiltonian to be reduced to the Ginzburg-Landau type are discussed. |
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