arXiv subjects

Sergei V. Kokhan

Publications and source records attributed to Sergei V. Kokhan.

2 recordsLinked to original sources

arXiv2012

Properties of nano-islands formation in nonequilibrium reaction-diffusion systems with memory effects

We study dynamics of pattern formation in systems belonging to class of reaction-Cattaneo models including persistent diffusion (memory effects of the diffusion flux). It was shown that due to the memory effects pattern seletion process are realized. We have found that oscillatory behavior of the radius of the adsorbate islands is governed by finite propagation speed. It is shown that stabilization of nano-patterns in such models is possible only by nonequilibrium chemical reactions. Oscillatory dynamics of pattern formation is studied in details by numerical simulations.

cond-mat.stat-mech↗

arXiv2011

Properties of nano-pattern formation in reaction-diffusion systems with hyperbolic transport and multiplicative noise

We study nano-pattern formation in a stochastic model for adsorption-desorption processes with interacting adsorbate and hyperbolic transport caused by memory effects. It is shown that at early stages the system manifests pattern selection processes. Stationary stable patterns of nano-size are analyzed. It was found that multiplicative noise satisfying fluctuation-dissipation relation can induce re-entrant pattern formation related to non-equilibrium transitions. According to obtained Fokker-Planck equation kinetics of island sizes in a quasi-stationary limit is discussed. Analytical results are compared with computer simulations.

cond-mat.stat-mech↗