Long range correlations and the onset of chemical instabilities

H. Lemarchand and G. Nicolis

Physica A: Statistical Mechanics and its Applications, 1976, vol. 82, issue 4, 521-542

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.

Date: 1976
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:82:y:1976:i:4:p:521-542

DOI: 10.1016/0378-4371(76)90079-0

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