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Static and dynamic density correlations of interacting active Brownian particles — arXiv:2610.41613

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.41613
License (as archived): CC0-1.0
Archived: 2026-11-03T08:27:55.052Z
SHA-256 of the archived text: 5f0589ab6e1377cd23f1a81254bef8885f74903f903f07292e7b8449f0b892e3
Stable URL of this page: https://metraipolis.com/documento/dc_834faebdface

How to cite

Static and dynamic density correlations of interacting active Brownian particles — arXiv:2610.41613 — arXiv (en), https://arxiv.org/abs/2610.41613 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_834faebdface (Metraipolis archive dc_834faebdface, sha256 5f0589ab6e1377cd23f1a81254bef8885f74903f903f07292e7b8449f0b892e3)

BibTeX

@misc{dc834faebdface,
  title = {Static and dynamic density correlations of interacting active Brownian particles — arXiv:2610.41613},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.41613},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_834faebdface; sha256 5f0589ab6e1377cd23f1a81254bef8885f74903f903f07292e7b8449f0b892e3},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.41613. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We develop a stochastic Dean--Kawasaki field theory to predict the static structure factor and collective intermediate scattering function of interacting active Brownian particles. Starting from the microscopic overdamped dynamics, we derive coupled stochastic equations for the density and polarization fields using an angular-moment closure. Gaussian linearization then yields closed analytical expressions for static and dynamic density correlations in terms of propulsion speed, mean number density, interaction potential, translational and rotational diffusivities. The coupling between density and polarization predicts a crossover from exponential relaxation to damped oscillations despite the absence of inertia. For Gaussian-core potential, the predictions contain no fitting parameters. Brownian dynamics simulations show quantitative agreement at low activity and long wavelengths, and reproduce the crossover behaviour. For Weeks--Chandler--Andersen potential, the nonintegrable core makes both the Fourier transform of the potential and the self-interaction correction term in the Dean--Kawasaki field theory ill-defined. We therefore introduce an approximation that replaces the interaction potential with a passive direct-correlation function fitted separately at each density and temperature. This approximation requires no additional activity-dependent fitting parameters.

Tema degli esploratori: fisica e astronomia (elenco arXiv cond-mat.stat-mech, nuovi lavori del giorno).
Categorie arXiv: Statistical Mechanics (cond-mat.stat-mech) ; Soft Condensed Matter (cond-mat.soft).
Pagina del lavoro: https://arxiv.org/abs/2610.41613 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-03T08:09:53.771Z dalla pagina https://arxiv.org/list/cond-mat.stat-mech/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).