Abstract
An example of a noise-induced phase transition in a chemical system with diffusion is studied. It is shown that effects of diffusion can radically change the classical results on extinction and coexistence in the models of Lotka-Volterra type. Fluctuation phenomena near the point of the noise-induced phase transition are discussed.
Similar content being viewed by others
References
Arnold, L., Horsthemke, W., Lefever, R.: Z. Physik B29, 367 (1978)
Mikhailov, A.S.: Phys. Lett. A73, 143 (1979); Dokl. Akad. Nauk SSSR243, 786 (1978)
Eigen, M.: Naturwissenschaften58, 465 (1971)
Stratonovich, R.L.: Topics in the theory of random noise. New York: Gordon and Breach 1967
Kawasaki, K.: In: Critical phenomena. Proceedings of the International School of Physics “Enrico Fremi”. Course LI. London, New York: Academic Press 1971
Landau, L.D., Lifshitz, E.M.: Statistical physics. Part I, 3rd ed. Moscow: Nauka 1976
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mikhailov, A.S. Effects of diffusion in fluctuating media: A noise-induced phase transition. Z. Physik B - Condensed Matter 41, 277–282 (1981). https://doi.org/10.1007/BF01294434
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01294434