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The dynamics of unstable-state decay

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  • Shneidman, V.A.

Abstract

We consider a Fokker-Planck equation in the “order parameter” space and present an asymptotic method to obtain in the low-noise limit the time-dependent probability density, its moments and the first-passage time distribution. We apply the general results to the Ginzburg-Landau potential and its extention for a laser model with saturation. Special attention is paid to the stable equilibrium point and the macroscopically unaccessible region beyond it not studied before. We demonstrate that some of our results (e.g. mean first-passage time) coincide with those yielded by exact expressions in the appropriate limit.

Suggested Citation

  • Shneidman, V.A., 1991. "The dynamics of unstable-state decay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 174(2), pages 406-424.
  • Handle: RePEc:eee:phsmap:v:174:y:1991:i:2:p:406-424
    DOI: 10.1016/0378-4371(91)90340-I
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    1. Masoliver, Jaume & Lindenberg, Katja & Weiss, George H., 1989. "A continuous-time generalization of the persistent random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(2), pages 891-898.
    2. Kehoe, Timothy J. & Noyola, Pedro Javier & Manresa, Antonio & Polo, Clemente & Sancho, Ferran, 1988. "A general equilibrium analysis of the 1986 tax reform in Spain," European Economic Review, Elsevier, vol. 32(2-3), pages 334-342, March.
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