Bulletin of the Korean Chemical Society

Korean Chemical Society (대한화학회)
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The $Schl\ddot{o}gl$ Model with the Second Order Transition Under the Influence of a Singular Multiplicative Random Force

  • Kyoung-Ran Kim (Department of Chemistry, National Fisheries University of Pusan) ;
  • Dong J. Lee (Department of Chemistry, National Fisheries University of Pusan) ;
  • Cheol-Ju Kim (Department of Chemistry, Chonbuk National University) ;
  • Kook Joe Shin (Department of Chemistry, Seoul National University)
  • Published : 1994.08.20
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Abstract

For the Schlogl model with the second order transition under the influence of the multiplicative noise singular at the unstable steady state, the detailed discussions are presented for various kinds of stochastic phenomena, suchas the effects of parameters on stationary probability distribution, noise-induced phase transitions and escape rate.

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References

  1. Bull. Korean Chem. Soc. v.14 Kim, C. J.;Lee, D. J.
  2. Bull. Korean Chem. Soc. v.15 Kim, K. R.;Lee, D. J.;Shin, K. J.;Kim, C. J.
  3. Z. Phys. v.248;252 Schlogl, F.
  4. Bull. Korean Chem. Soc. v.6 Kim, K. H.;Shin, K. J.;Lee, D. J.;Ko, S. B.
  5. The Fokker-Planck Equations Risken, H.
  6. Phys. Rev. v.A45 Hu, G.;He, K.