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Dynamics of soft interacting particles on a comb

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arxiv 2502.16951 v2 pith:4W3NQALQ submitted 2025-02-24 cond-mat.stat-mech cond-mat.soft

Davide Venturelli , Pierre Illien , Aurélien Grabsch , Olivier Bénichou This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.soft
keywords particlescombcorrelationdensitydynamicsinteractingparticlesoft
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We study the dynamics of overdamped Brownian particles interacting through soft pairwise potentials on a comb-like structure. Within the linearized Dean-Kawasaki framework, we characterize the particle density fluctuations by computing their one- and two-point correlation functions. For a tracer particle constrained to move along the comb backbone, we determine the spatial correlation profile between its position and the density of surrounding bath particles. Furthermore, we derive the correction to the diffusion coefficient of the tracer due to interactions with other particles, validating our results through numerical simulations.

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  1. Full stochastic dynamics of a tracer in a dense single-file system

    cond-mat.stat-mech 2025-05 accept novelty 8.0 of 10

    In the dense limit of the symmetric exclusion process, all n-time tracer cumulants reduce to integrals over a Brownian walker that stays positive.

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