Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Anomalous diffusion / Brownian motion

DY 43.12: Talk

Thursday, April 4, 2019, 13:00–13:15, H3

Memory-induced acceleration and slowdown of barrier crossing — •Julian Kappler^1,2, Jan O. Daldrop¹, Florian N. Brünig¹, Moritz D. Boehle¹, and Roland R. Netz¹ — ¹Freie Universität Berlin, 14195 Berlin, Germany — ²Cambridge University, Cambridge CB3 0WA, United Kingdom

We study the mean first-passage time τ_MFP 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 τ_MFP increases with τ_Γ as a power law τ_MFP ∼ τ_Γ². A simple and globally accurate heuristic formula for τ_MFP 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.