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Prog. Theor. Phys. Vol. 64 No. 4 (1980) pp. 1233-1247

[ Full Text PDF : FREE ACCESS (1224K) ]

Phase Diagrams of Noise Induced Transitions

— Exact Results for a Class of External Coloured Noise —

Kazuo Kitahara, Werner Horsthemke,* René Lefever* and Yutaka Inaba**

Department of Liberal Arts, Shizuoka University, Shizuoka 422
*Service de Chimie Physique II, C.P. 231, Université Libre de Bruxelles, B-1050 Bruxelles
**Department of Physics, Faculty of Sciences, University of Tokyo, Tokyo 113

(Received April 21, 1980)

Abstract:

By using the formula for the steady state probability distribution of fluctuation in a nonlinear systems under the influence of two-level Markovian noise, the existence of phase transitions of such a system with the variation of intensity and correlation time of the noise is shown. Explicit results for the Verhulst model and a model for population genetics are given and compared with the previous results for the white noise case.


URL : http://ptp.ipap.jp/link?PTP/64/1233/
DOI : 10.1143/PTP.64.1233

[ Full Text PDF : FREE ACCESS (1224K) ] Citation:

References:

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