Abstract
The multivariate master equation for a reaction-diffusion system is analyzed using a singular perturbation approach. It is shown that in the vicinity of a bifurcation leading to two simultaneously stable steady states, the steady-state probability distribution reduces asymptotically to the exponential of the Landau-Ginzburg functional. On the other hand, for a system displaying quadratic nonlinearities and an absorbing state, critical behavior is ruled out.
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Supported in part by the Actions de Recherche Concertées of the Belgian government under convention no. 76/81 II 3.
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Nicolis, G., Malek-Mansour, M. Systematic analysis of the multivariate master equation for a reaction-diffusion system. J Stat Phys 22, 495–512 (1980). https://doi.org/10.1007/BF01012869
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DOI: https://doi.org/10.1007/BF01012869