Dresden 2020 – wissenschaftliches Programm
Die DPG-Frühjahrstagung in Dresden musste abgesagt werden! Lesen Sie mehr ...
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
DY: Fachverband Dynamik und Statistische Physik
DY 57: Poster: Statistical Physics; Critical Phenomena; Stochastic Thermodynamics; Extreme Events; Data Analytics
DY 57.11: Poster
Donnerstag, 19. März 2020, 15:00–18:00, P1C
Escape from Metastable States Driven by Asymmetric Non-Gaussian Noise — •Daniel Pflüger1, Adrian Baule2, and Peter Sollich1 — 1Institut für Theoretische Physik, Georg-August-Universität Göttingen, Deutschland — 2School of Mathematical Sciences, Queen Mary University of London, United Kingdom
The escape of Brownian particles trapped in a metastable state was originally investigated by Kramers and finds numerous applications, e.g. in the Arrhenius rate formula for chemical reactions. The underlying assumption is that the escape process is driven by Gaussian white noise. For particles in granular gases or solutions of bacterial swimmers this is no longer appropriate. We therefore consider the problem of escape from a metastable state driven by the most general kind of noise process that is stationary and uncorrelated in time. Such a noise process is a combination of Gaussian white noise and Poissonian shot noise with an arbitrary amplitude distribution. We show that an analogue of Kramers' low-temperature limit can be constructed, and use this to investigate the effect of the noise statistics on the transition rates; these can be exponentially larger than in the Gaussian case. We focus in particular on the effects of asymmetry in the noise amplitude distribution, generalizing earlier work on one-side exponential noise. We also investigate applications to systems with multiple reaction coordinates, where the selection of the most likely transition path can become dependent on the noise statistics.