Entropy driven mechanism for noise induced patterns formation in reaction-diffusion systems

Details Entropy driven mechanism for noise induced patterns formation in reaction-diffusion systems Entropy driven mechanism for noise induced patterns formation in reaction-diffusion systems

2008-06-19

arxiv.org/abs/0806.3151v1

Physics

Condensed Matter

Statistical Mechanics

20 pages, 11 figures

Scientific paper

We have studied the entropy-driven mechanism leading to stationary patterns formation in stochastic systems with local dynamics and non-Fickian diffusion. We have shown that a multiplicative noise fulfilling a fluctuation-dissipation relation is able to induce and sustain stationary structures with its intensity growth. It was found that at small and large noise intensities the system is characterized by unstable homogeneous states. At intermediate values of the noise intensity three types of patterns are possible: nucleation, spinodal decomposition and stripes with liner defects (dislocations). Our analytical investigations are verified by computer simulations.

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