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

Simple item page
dc.creatorKharchenko, D. O.
dc.creatorKokhan, S. V.
dc.creatorDvornichenko, A. V.
dc.date2008-06-19
dc.date.accessioned2026-07-07T09:45:34Z
dc.date.available2026-07-07T09:45:34Z
dc.descriptionWe 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.
dc.description20 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/0806.3151
dc.identifierhttp://arxiv.org/abs/0806.3151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163237
dc.subjectStatistical Mechanics
dc.titleEntropy driven mechanism for noise induced patterns formation in reaction-diffusion systems
dc.typetext

Files

Collections

arXiv