We extend the phase field crystal method for nonequilibrium patterning to stochastic systems with external source where transient dynamics is essential. It was shown that at short time scales the system manifests pattern selection processes. These processes are studied by means of the structure function dynamics analysis. Nonequilibrium pattern-forming transitions are analyzed by means of numerical simulations. Key words: noise, spatial pattern, nonequilibrium transition, structure function. PACS 05.40.-a, 05.10.Gg, 64.60.Cn, 64.60.My
Many biological patterns, from population densities to animal coat markings, can be thought of as he...
We study nano-pattern formation in a stochastic model for adsorption-desorption processes with inter...
Many biological patterns, from population densities to animal coat markings, can be thought of as he...
We explore nonequilibrium collective behavior in large, spatially extended stochastic systems. In Pa...
A comprehensive review of spatiotemporal pattern formation in systems driven away from equilibrium i...
Pattern formation is a subfield of nonlinear dynamics in spatially extended systems. Although the la...
The ability of Gaussian noise to induce ordered states in dynamical systems is here presented in an ...
We extend the mechanism for noise-induced phase transitions proposed by Ibañes et al. [Phys. Rev. Le...
We study the behaviour of a class of stochastic spatially extended systems exhibiting transition to ...
We report spatiotemporal patterns induced by microscopic fluctuations in the Gray-Scott model. In th...
Dynamical systems methods are being developed and used to characterize the formation and evolution o...
Turing's theory of pattern formation has been used to describe the formation of self-organized perio...
present computational studies of a two component reaction diffusion system of the Grey and Scott typ...
Abstract A spatiotemporal discrete predator–prey system is investigated for understanding the patter...
The problem of wave-number selections in nonequilibrium pattern-forming systems in the presence of n...
Many biological patterns, from population densities to animal coat markings, can be thought of as he...
We study nano-pattern formation in a stochastic model for adsorption-desorption processes with inter...
Many biological patterns, from population densities to animal coat markings, can be thought of as he...
We explore nonequilibrium collective behavior in large, spatially extended stochastic systems. In Pa...
A comprehensive review of spatiotemporal pattern formation in systems driven away from equilibrium i...
Pattern formation is a subfield of nonlinear dynamics in spatially extended systems. Although the la...
The ability of Gaussian noise to induce ordered states in dynamical systems is here presented in an ...
We extend the mechanism for noise-induced phase transitions proposed by Ibañes et al. [Phys. Rev. Le...
We study the behaviour of a class of stochastic spatially extended systems exhibiting transition to ...
We report spatiotemporal patterns induced by microscopic fluctuations in the Gray-Scott model. In th...
Dynamical systems methods are being developed and used to characterize the formation and evolution o...
Turing's theory of pattern formation has been used to describe the formation of self-organized perio...
present computational studies of a two component reaction diffusion system of the Grey and Scott typ...
Abstract A spatiotemporal discrete predator–prey system is investigated for understanding the patter...
The problem of wave-number selections in nonequilibrium pattern-forming systems in the presence of n...
Many biological patterns, from population densities to animal coat markings, can be thought of as he...
We study nano-pattern formation in a stochastic model for adsorption-desorption processes with inter...
Many biological patterns, from population densities to animal coat markings, can be thought of as he...