Regensburg 2019 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 19: Focus Session: Theory of Stochastic Processes with Applications in Biology (joint session SOE/BP/DY/AKjDPG)
SOE 19.6: Talk
Thursday, April 4, 2019, 17:45–18:00, H17
A Brownian particle in a potential is coupled weakly to an external noise with finite autocorrelation time — •Benjamin Walter1, Gunnar Pruessner1, and Guillaume Salbreux2 — 1Imperial College London, UK — 2Francis Crick Institute, UK
We study first passage times in non-markovian stochastic dynamics: A Brownian particle in a potential is coupled weakly to an external noise with finite autocorrelation time. Starting from a Darling-Siegert type renewal equation, we develop a perturbative approach to find a controlled expansion for the full moment generating function of the first passage time distribution in powers of the coupling strength. This perturbative scheme can be understood diagrammatically. I illustrate the framework with two analytically solvable models, namely by adding coloured noise to Brownian motion on a ring and to the Ornstein-Uhlenbeck process.