Regensburg 2025 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 22: Poster: Statistical Physics
DY 22.8: Poster
Wednesday, March 19, 2025, 10:00–12:00, P3
Large-deviation simulations of non-equilibrium stochastic processes — •Chinmay Chandratre — Heinrichstr. 16, 26131 Oldenburg
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 allowed the computation, in the limit of 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 behaviour for finite numbers of particles, where the large-deviation corrections become relevant, is analytically not known. Numerically, standard algorithms fail to access the majority of the support, particularly in the tails. Here, special large-deviation algorithms [2] are used 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