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DY: Fachverband Dynamik und Statistische Physik
DY 7: Focus Session: Large Deviations and Rare Events I
DY 7.8: Talk
Monday, March 9, 2026, 12:00–12:15, ZEU/0114
Perturbative framework for finding the transition rates for active particles — •Vito Seinen1, Peter Bolhuis1, Daan Crommelin2, Michel Mandjes3, and Sara Jabbari-Farouji1 — 1University of Amsterdam — 2Centrum Wiskunde & Informatica — 3University Leiden
Activated escape or transition rates between metastable states have been a growing topic of research due to their relevance in many physical processes and their roles in certain non-equilibrium phase transitions. In the context of motility-induced phase separation (MIPS), such active transition rates are known to govern the nucleation processes that initiate phase separation. To gain insight into these phenomena, we develop a projection-operator formalism for a generic model of an active particle in a multi-well potential. We compute the transition rates perturbatively in two asymptotic regimes: one in which the dynamics of the activity (the driving process) is much faster than that of the particle (the driven process), and one in which the activity dynamics is much slower. From these asymptotic expansions, we construct an approximation that interpolates across the intermediate regime, thereby capturing all parameter ranges relevant in the rare-event limit. Our results provide deeper understanding of the complex dependence of active transition rates on the magnitude of the activity, the thermal noise strength, and the dynamical timescale of the active (driving) process*its persistence time
Keywords: Transition; rates; active; driven; projection