Journal of Physical Studies 13(1), Article 4005 [10 pages] (2009) DOI: https://doi.org/10.30970/jps.13.4005 ENTROPY DRIVEN MECHANISM FOR ORDERING, PHASE SEPARATION AND PATTERN FORMATION PROCESSES IN STOCHASTIC SYSTEMS D. O. Kharchenko1, A. V. Dvornichenko2, V. O. Kharchenko1 1Institute of Applied Physics, 58, Petropavlivska St., 40030, Sumy, Ukraine 2Sumy State University, 2, Rimskii-Korsakov St., 40007, Sumy, Ukraine

We present study concerns a generalization of the model for extended stochastic systems with a field-dependent kinetic coefficient and a noise source satisfying fluctuation-dissipation relation. Phase transitions with entropy driven mechanism are investigated in systems with conserved and nonconserved dynamics. It is found that in stochastic systems with a relaxational flow and a symmetric local potential reentrant phase transitions can be observed. We have studied the entropy-driven mechanism leading to stationary patterns formation in stochastic systems of reaction diffusion kind. It is shown that a multiplicative noise fulfilling a fluctuation-dissipation relation is able to induce and sustain stationary structures. Our mean-field results are verified by computer simulations.

PACS number(s): 05.40.-a, 64.60.-i, 02.50.Fz, 05.10.Gg, 05.40.Ca

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