Bulletin of the Korean Chemical Society

Korean Chemical Society (대한화학회)
권호 표지
DOI QR코드

DOI QR Code

A Stochastic Investigation of a Dynamical System Exhibiting the Second-Order Phase Transition

  • Kim, Kyung-Hee (Department of Chemistry, Seoul National University) ;
  • Shin, Kook-Joe (Department of Chemistry, Seoul National University) ;
  • Lee, Dong-Jae (Department of Chemistry, Chonbuk National University) ;
  • Ko, Seok-Beom (Department of Chemistry Education, Chonbuk National University)
  • Published : 1985.10.20
Download PDF
⟨ Previous Next ⟩

Abstract

An approximate solution of the Fokker-Planck equation with the nonlinear drift term due to a Schlogl model is obtained and the result is compared with the methods proposed by Suzuki. Also the effect of nonlinearity on the correlation length at the stable steady state is studied.

Keywords

References

  1. Ber. Bunsenges. Physik. Chem. v.80 J. Ross
  2. Prog. Theor. Phys. v.56 M. Suzuki
  3. J. Stat. Phys. v.16 M. Suzuki
  4. Physica v.117A M. Suzuki
  5. J. Stat. Phys. v.32 M.C. Valsakumar
  6. Phys. Rev. v.36 G.E. Uhlenbeck;L.S. Ornstein
  7. Handbook of Mathematical Functions M. Abramowitz;I.A. Stegun
  8. Bull. Korean Chem. Soc. v.6 D.J. Lee;M.H. Yoo;J.M. Lee
  9. Selected Papers on Noise and Stochastic Processes N. Wax(ed.)
  10. J. Chem. Phys. v.68 K. Kawasaki;S.K. Kim
  11. Phys. Rev. v.B3 J.R. Tucker;B.I. Halperin
  12. Biophys. J. v.36 F. Jhanig
  13. Phys. Rev. v.179 E. Pytte;H. Thomas
  14. Laser Physics M. Sargent;M.O. Scally;W.E. Lamb,Jr.
  15. Z. Physik v.253 F. Schlogl
  16. J. Chem. Phys. v.61 A. Nitzan;P. Ortholeva;J. Deutch;J. Ross
  17. Adv. Chem. Phys. v.46 M. Suzuki
  18. J. Stat. Phys. v.30 M.C. Valsakumar;K.P.N. Morthy;G. Ananthakrishna