Regensburg 2025 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 22: Poster: Statistical Physics
DY 22.8: Poster
Mittwoch, 19. März 2025, 10:00–12:00, P3
Large-deviation simulations of particles in a switching harmonic trap — •Chinmay Pradeep Chandratre and Alexander K. Hartmann — Institute of Physics, University of Oldenburg, Germany
For N non-interacting diffusing particles in a harmonic trap where the stiffness is switched randomly between µ1 and µ2, the joint distribution of particle positions has been exactly computed [1]. This allows the computation, in the limit as N → ∞, of the distribution of the position Mk of the k-th rightmost particle. It is governed by a universal scaling function with finite support and tunable shape.
However, the behavior for a finite numbers of particles, where the large-deviation corrections become relevant, is analytically not known. Numerically, standard algorithms fail to access the majority of support, particularly in the tails. Here, special large-deviation algorithms [2] are deployed to access the tails of the distribution, reaching probabilities as small as 10−200 or even smaller. This includes a highly general black-box algorithm suitable for studying a wide range of stochastic processes.
[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: large-deviation properties; Monte Carlo simulations; stochastic motion; non-equilibrium processes; particles in a harmonic switching trap