Phys. Rev. Lett. 55, 1947–1949 (1985)Rigorous Derivation of Reaction-Diffusion Equations with FluctuationsSee Also: Erratum Received 1 August 1985; published in the issue dated 4 November 1985 We study interacting particle (spin) systems on a lattice under the combined influence of Glauber (spin flip) and simple exchange (Kawasaki) dynamics. We prove that when the conserving exchanges occur on a microscopically fast scale the macroscopic density (magnetization) evolves according to an autonomous nonlinear diffusion-reaction equation. Microscopic fluctuations about the deterministic macroscopic evolution are found explicitly. They grow, with time, to become infinite, when the deterministic solution is unstable. © 1985 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.55.1947
DOI:
10.1103/PhysRevLett.55.1947
PACS:
05.60.+w, 05.40.+j
See AlsoErratum: A. De Masi, P. A. Ferrari, and J. L. Lebowitz, Rigorous Derivation of Reaction-Diffusion Equations with Fluctuations., Phys. Rev. Lett. 56, 1317 (1986). |
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