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Spatial organization of active particles with field-mediated interactions

2019/07/31 by Ruben Zakine, Jean-Baptiste Fournier, Jean‐Baptiste Fournier +1
Environmental Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Brownian motion #Classical mechanics #Computer science #Coupling (piping) #Degrees of freedom (physics and chemistry) #Ecosystem dynamics and resilience #Field (mathematics) #Gaussian #Materials science #Mathematics #Micro and Nano Robotics #Noise (video) #Non-equilibrium thermodynamics #Nonlinear system #Phase (matter) #Phase diagram #Physics #Quantum mechanics #Statistical physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.101.022105

published as Phys. Rev. E 101, 022105 (2020) · 17 pages, 17 figures

arxiv created 2019/08/06 · openalex publication_date 2020/02/05 · arxiv updated 2020/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider a system of independent pointlike particles performing a Brownian motion while interacting with a Gaussian fluctuating background. These particles are in addition endowed with a discrete two-state internal degree of freedom that is subjected to a nonequilibrium source of noise, which affects their coupling with the background field. We explore the phase diagram of the system and pinpoint the role of the nonequilibrium drive in producing a nontrivial patterned spatial organization. We are able, by means of a weakly nonlinear analysis, to account for the parameter-dependence of the boundaries of the phase and pattern diagram in the stationary state.

Citations