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Dynamics of soft interacting particles on a comb
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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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Cited by 3 Pith papers
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Free massive particle systems, singular-drift Dean-Kawasaki equations, Wasserstein diffusions, and metric-measure Brownian motions are identified as a single process for any ultracontractive reversible diffusion.
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The Dean-Kawasaki equation and stochastic density functional theory
A review of the Dean-Kawasaki equation and stochastic density functional theory, covering derivation, mathematical issues, extensions, solution methods, and applications.
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