Dresden 2026 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 7: Focus Session: Large Deviations and Rare Events I
DY 7.9: Talk
Monday, March 9, 2026, 12:15–12:30, ZEU/0114
Large deviation properties of Brownian particles in switching harmonic traps — •Chinmay Pradeep Chandratre and Alexander K. Hartmann — Institut of Physics, University of Oldenburg, Oldenburg (Germany)
For N independent particles in a harmonic trap with stiffness switching between µ1 and µ2, a complete characterization of the non-equilibrium steady state including the computation of joint distribution of particle positions has been performed under the stochastic-resetting protocol [1]. In the large-N limits, this allows for the computation of observables such as the distribution of the position Mk of the k-th rightmost particle (Extreme value statistics), spacing distributions Dk = Mk − Mk+1 and the particle count NL = | { i : |xi| ≤ L } | for an interval [−L,L]. However, the finite-N regime with significant large-deviation corrections is analytically unknown. The numerical limitations in resolving the support of the distribution, especially in the tails, are circumvented through specialized large-deviation algorithms [2] by deploying modified Markov Chain Monte Carlo methods. The distributions P(Mk), P(Dk) and P(NL) and corresponding rate functions were obtained numerically from simulations performed for several system sizes. Conditional distribution rendered further insight into the correlations between Mk, Dk, and NL.
[1] Biroli, Marco and Kulkarni, Manas and Majumdar, Satya N. and Schehr, Grégory, Phys. Rev. E 109, 032106 (2024)
[2] A.K. Hartmann, Phys. Rev. E 89, 052103 (2014)
Keywords: Rare-event sampling; Large deviation properties; Extreme Value Statistics; Stochastic Resetting; Markov-Chain Monte Carlo Simulations