Sie befinden Sich nicht im Netzwerk der Universität Paderborn. Der Zugriff auf elektronische Ressourcen ist gegebenenfalls nur via VPN oder Shibboleth (DFN-AAI) möglich. mehr Informationen...
Extension of generalized Kramers theory in the spatial diffusion regime: Diffusion of Brownian particles in periodic potential
Ist Teil von
Physica A, 2020-06, Vol.547, p.123836, Article 123836
Ort / Verlag
Elsevier B.V
Erscheinungsjahr
2020
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
Extension of generalized Kramers theory in the spatial diffusion regime to extensive noise parameters is illustrated through the internal Ornstein–Uhlenbeck noise-induced diffusion of a particle in one-dimensional periodic potential. In the current over population method, the Fokker–Planck equation does not have a non-equilibrium stationary-state solution for a large scope of Ornstein–Uhlenbeck noise parameters. Instead, an effective non-equilibrium stationary-state transition probability density can be obtained and can serve as the long-term mean transition probability density for the Langevin simulation of the escape rate. The analytical results of the diffusion coefficient in the spatial diffusion regime are in good agreement with the Langevin simulation results at a low temperature. This theoretical approach can be applied to Gaussian noise processes in potential barrier crossing problems, including the processes in the presence of external noises.
•Generalized Kramers theory in spatial diffusion regime is extended to extensive noise parameters.•Analytical and simulation results of diffusion coefficient in spatial diffusion regime match well.•Theoretical approach can be applied to general Gaussian noise processes.