Current statistics and depinning transition for a one-dimensional Langevin process in the weak-noise limit
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/abb235
Abstract: We consider a particle with a Langevin dynamics driven by a uniform non-conservative force, in a one-dimensional potential with periodic boundary conditions. We are interested in the properties of the system for atypical values of… read more here.
Keywords: force; transition; noise limit; depinning transition ... See more keywords
Coherence of oscillations in the weak-noise limit.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.064101
Abstract: In a noisy environment, oscillations lose their coherence, which can be characterized by a quality factor. We determine this quality factor for oscillations arising from a driven Fokker-Planck dynamics along a periodic one-dimensional potential analytically… read more here.
Keywords: weak noise; coherence oscillations; limit; coherence ... See more keywords
Zero noise limit of a stochastic differential equation involving a local time
Sign Up to like & getrecommendations! Published in 2018 at "Osaka Journal of Mathematics"
DOI: 10.18910/70822
Abstract: This paper studies the zero noise limit for the solution of a class of one-dimensional stochastic differential equations involving local time with irregular drift. These solutions are expected to approach one of the solutions to… read more here.
Keywords: zero noise; noise limit; limit; stochastic differential ... See more keywords