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DY: Fachverband Dynamik und Statistische Physik

DY 7: Focus Session: Large Deviations and Rare Events I

DY 7.9: Vortrag

Montag, 9. März 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 M_k of the k-th rightmost particle (Extreme value statistics), spacing distributions D_k = M_k − M_k+1 and the particle count N_L = |  {  i : |x_i| ≤ 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(M_k), P(D_k) and P(N_L) and corresponding rate functions were obtained numerically from simulations performed for several system sizes. Conditional distribution rendered further insight into the correlations between M_k, D_k, and N_L.

[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