Regensburg 2019 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Anomalous diffusion / Brownian motion

DY 43.12: Vortrag

Donnerstag, 4. April 2019, 13:00–13:15, H3

Memory-induced acceleration and slowdown of barrier crossing — •Julian Kappler1,2, Jan O. Daldrop1, Florian N. Brünig1, Moritz D. Boehle1, and Roland R. Netz11Freie Universität Berlin, 14195 Berlin, Germany — 2Cambridge University, Cambridge CB3 0WA, United Kingdom

We study the mean first-passage time τMFP for the barrier crossing of a single massive particle with non-Markovian memory by Langevin simulations in one dimension. Compared to the Markovian case, we find barrier crossing to be accelerated for intermediate memory time, while for long memory time, barrier crossing is slowed down and τMFP increases with τΓ as a power law τMFP ∼ τΓ2. A simple and globally accurate heuristic formula for τMFP in terms of all relevant time scales of the system is presented and used to establish a scaling diagram featuring the Markovian overdamped and the Markovian inertial regimes, as well as the non-Markovian intermediate memory time regime where barrier crossing is accelerated and the non-Markovian long memory time regime where barrier crossing is slowed down.

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