Kramers's escape rate problem within a non-Markovian description

Autor:	Schüller, Benjamin, Meistrenko, Alex, van Hees, Hendrik, Xu, Zhe, Greiner, Carsten
Rok vydání:	2019
Předmět:	Condensed Matter - Statistical Mechanics High Energy Physics - Phenomenology Nuclear Theory
Zdroj:	Ann. Phys. (NY) 412, 168045 (2019)
Druh dokumentu:	Working Paper
DOI:	10.1016/j.aop.2019.168045
Popis:	We compare the thermal escape rates of a Brownian particle, initially trapped into one of the two wells of an asymmetric double-well potential, for thermal Markovian and non-Markovian noise. The Markovian treatment of this problem goes originally back to the studies of Kramers in 1940 and is therefore often referred to as "Kramers's escape rate problem". We solve the generalized Langevin equation for the trajectories of the particles numerically and analytically for both limiting cases, Markovian and non-Markovian thermal noise. We compute the escape rate and work out the fundamental differences arising from finite correlation times of the thermal noise. Comment: 42 pages, 18 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.09652 Zobrazit plný text záznamu View this record from Arxiv