English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this paper we consider systems of weakly interacting particles driven bycolored noise in a bistable potential, and we study the effect of thecorrelation time of the noise on the bifurcation diagram for the equilibriumstates. We accomplish this by solving the corresponding McKean-Vlasov equationusing a Hermite spectral method, and we verify our findings using Monte Carlosimulations of the particle system. We consider both Gaussian and non-Gaussiannoise processes, and for each model of the noise we also study the behavior ofthe system in the small correlation time regime using perturbation theory. Thespectral method that we develop in this paper can be used for solving linearand nonlinear, local and nonlocal (mean-field) Fokker-Planck equations, withoutrequiring that they have a gradient structure.

Mean-field limits for interacting diffusions with colored noise: phase transitions and spectral numerical methods