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Breakdown of effective temperature, power law interactions, and self-propulsion in a momentum-conserving active fluid

2018/08/31 by Amit Singh Vishen, Jacques Prost, Madan Rao · 8 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chemistry #Classical mechanics #Colloid #Colloidal particle #Mathematics #Mechanics #Micro and Nano Robotics #Momentum (technical analysis) #Particle (ecology) #Physics #Power law #Quantum Electrodynamics and Casimir Effect #Statistical physics #Suspension (topology) #cond-mat.soft #physics.bio-ph #q-bio.QM

paper · pdf · doi:10.1103/physreve.100.062602

published in Physical review. E 100(6), 062602 (American Physical Society)

arxiv created 2019/11/27 · openalex publication_date 2019/12/11 · arxiv updated 2019/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The simplest extensions of single-particle dynamics in a momentum-conserving active fluid-an active suspension of two colloidal particles or a single particle confined by a wall-exhibit strong departures from Boltzmann behavior, resulting in either a breakdown of an effective temperature description or a steady state with nonzero-entropy production rate. This is a consequence of hydrodynamic interactions that introduce multiplicative noise in the stochastic description of particle positions. This results in fluctuation-induced interactions that depend on distance as a power law. We find that the dynamics of activated colloids in a passive fluid, with stochastic forcing localized on the particle, is different from that of passive colloids in an active fluctuating fluid.

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