Bulletin of the Korean Chemical Society

Korean Chemical Society (대한화학회)
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Transition Rates in a Bistable System Driven by Singular External Forces

  • Cheol-Ju Kim (Department of Chemistry, Chonbuk National University) ;
  • Dong Jae Lee (Department of Chemistry, National Fisheries University of Pusan)
  • Published : 1993.02.20
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Abstract

A noise-induced transition is presented for a bistable system subjected to a multiplicative random force, which is singular at the unstable state. The stationary probability distribution is obtained from the Fokker-Planck equation and the effects of the singularity is analyzed. On the basis of noise-induced phase transition with Gaussian white noise, the relaxation time and the transition rate of the system are evaluated up to the first order correction of D. In the parameter region v < l, the transition rates decrease as the exponent v goes to 1 and as the coefficient of the linear term of the kinetic equation increases.

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