Add to ORKGInternational audienceIn this paper we study the diffusion approximation of a swarming model given by a systemof interacting Langevin equations with nonlinear friction. The diffusion approximationrequires the calculation of the drift and diffusion coefficients that are given as averages ofsolutions to appropriate Poisson equations. We present a new numerical method for computingthese coefficients that is based on the calculation of the eigenvalues and eigenfunctionsof a Schrodinger operator. These theoretical results are supported by numerical simulationsshowcasing the efficiency of the method
Langevin simulations provide an effective way to study collective effects of Brownian particles imme...
doi:10.1088/1367-2630/9/5/136 Abstract. Nonlinear Brownian motion (BM) refers to cases where the dam...
We introduce a scheme for deriving an optimally-parametrised Langevin dynamics of few collective var...
International audienceIn this paper we study the diffusion approximation of a swarming model given b...
In this paper we study the diffusion approximation of a swarming model given by a system of interact...
Kinetic Monte Carlo methods provide a powerful computational tool for the simulation of microscopic ...
The friction coefficient of a particle can depend on its position, as it does when the particle is n...
In this article, we present several algorithms for stochastic dynamics, including Langevin dynamics ...
Inspired by problems in biochemical kinetics, we study statistical properties of an overdamped Lange...
Simulating diffusions with piecewise constant coefficients using a kinetic approximatio
Cross-diffusion systems arise as hydrodynamic limits of lattice multi-species interacting particle m...
The equation for nonlinear diffusion can be rearranged to a form that immediately leads to its stoch...
The problem of diffusion in a bistable potential is studied by considering the associated nonlinear ...
International audienceThis paper is concerned with diffusive approximations of peculiar numerical sc...
Langevin simulations provide an effective way to study collective effects of Brownian particles imme...
Langevin simulations provide an effective way to study collective effects of Brownian particles imme...
doi:10.1088/1367-2630/9/5/136 Abstract. Nonlinear Brownian motion (BM) refers to cases where the dam...
We introduce a scheme for deriving an optimally-parametrised Langevin dynamics of few collective var...
International audienceIn this paper we study the diffusion approximation of a swarming model given b...
In this paper we study the diffusion approximation of a swarming model given by a system of interact...
Kinetic Monte Carlo methods provide a powerful computational tool for the simulation of microscopic ...
The friction coefficient of a particle can depend on its position, as it does when the particle is n...
In this article, we present several algorithms for stochastic dynamics, including Langevin dynamics ...
Inspired by problems in biochemical kinetics, we study statistical properties of an overdamped Lange...
Simulating diffusions with piecewise constant coefficients using a kinetic approximatio
Cross-diffusion systems arise as hydrodynamic limits of lattice multi-species interacting particle m...
The equation for nonlinear diffusion can be rearranged to a form that immediately leads to its stoch...
The problem of diffusion in a bistable potential is studied by considering the associated nonlinear ...
International audienceThis paper is concerned with diffusive approximations of peculiar numerical sc...
Langevin simulations provide an effective way to study collective effects of Brownian particles imme...
Langevin simulations provide an effective way to study collective effects of Brownian particles imme...
doi:10.1088/1367-2630/9/5/136 Abstract. Nonlinear Brownian motion (BM) refers to cases where the dam...
We introduce a scheme for deriving an optimally-parametrised Langevin dynamics of few collective var...