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Stochastic simulation of a bistable chemical system: The two-box model

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  • Frankowicz, M.
  • Gudowska-Nowak, E.

Abstract

The two-box model of a bistable chemical system is analyzed from the deterministic and stochastic point of view. It is shown that certain inhomogeneous states which are asymptotically stable in the deterministic case, appear during the stochastic evolution of the system as transient structures. These structures facilitate transitions between homogeneous steady states. Moreover, the dependence of the transition time on diffusion is not monotonous, but shows a significant minimum.

Suggested Citation

  • Frankowicz, M. & Gudowska-Nowak, E., 1982. "Stochastic simulation of a bistable chemical system: The two-box model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 331-344.
    • Handle: RePEc:eee:phsmap:v:116:y:1982:i:1:p:331-344
    DOI: 10.1016/0378-4371(82)90249-7
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    References listed on IDEAS

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    1. Ebeling, W. & Schimansky-Geier, L., 1979. "Stochastic dynamics of a bistable reaction system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(3), pages 587-600.
    2. Van den Broeck, C. & Houard, J. & Malek Mansour, M., 1980. "Chapman-Enskog development of the multivariate master equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(1), pages 167-184.
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    1. Frankowicz, M. & Turner, J.W., 1986. "The two-box model of a bistable chemical system: Stationary probability distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(2), pages 591-600.

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