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Long range correlations and the onset of chemical instabilities

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  • Lemarchand, H.
  • Nicolis, G.

Abstract

Recent analyses of fluctuations in non-equilibrium systems by Prigogine, Malek-Mansour and Nicolis have indicated the existence of a minimal coherence length beyond which fluctuations can amplify and induce instabilities at a macroscopic scale. Conversely, this observation suggests the emergence of long range spatial correlations in systems undergoing non-equilibrium unstable transitions. In the present paper, this problem is analyzed for reaction-diffusion systems and illustrated on a specific model. The existence of diverging form factors and of long range correlations is established. The connection between the multi-variate master equation and the local equation developed recently by Prigogine, Malek-Mansour and Nicolis is discussed.

Suggested Citation

  • Lemarchand, H. & Nicolis, G., 1976. "Long range correlations and the onset of chemical instabilities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 82(4), pages 521-542.
    • Handle: RePEc:eee:phsmap:v:82:y:1976:i:4:p:521-542
    DOI: 10.1016/0378-4371(76)90079-0
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    Cited by:

    1. Boissonade, J., 1982. "Molecular dynamics studies of metastability and nucleation in a non-equilibrium chemical system with multiple steady states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 113(3), pages 607-618.
    2. Moreau, M. & Vicente, L., 1982. "Influence of an external field on the stochastic theory of polymerization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 543-559.
    3. Garcia, Alejandro L. & van den Broeck, Christian & Aertsens, Marc & Serneels, Roger, 1987. "A Monte Carlo simulation of coagulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 143(3), pages 535-546.

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