Bulletin of the Korean Chemical Society

  • 제9권1호
  • /
  • Pages.36-40
  • /
  • 1988
  • /
  • 0253-2964(pISSN)
  • /
  • 1229-5949(eISSN)
대한화학회 (Korean Chemical Society)
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The Time Correlation Functions of Concentration Fluctuations in the Lotka Model near the Oscillatory Marginal Steady State

  • Kim Cheol-Ju (Department of Chemistry and Chemical Education, Chonbuk National University) ;
  • Lee Dong Jae (Department of Applied Chemistry, National Fisheries University of Pusan) ;
  • Ko Seuk Beum (Department of Chemistry and Chemical Education, Chonbuk National University) ;
  • Shin Kook Joe (Department of Chemistry, Seoul National University)
  • 발행 : 1988.02.20
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초록

The time correlation functions of concentration fluctuations due to the random forces near the steady state are evaluated for a general two-component nonlinear chemical system by solving the corresponding two dimensional Fokker-Planck equation. The approximate method of solving the Fokker-Planck equation is based on the eigenfunction expansion and the corresponding eigenvalues for both the linear and nonlinear Fokker-Planck operators are obtained near the steady state. The general results are applied to the Lotka model near the oscillatory marginal steady state and the comparison is made between linear and nonlinear cases.

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참고문헌

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