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Fluctuation Dissipation Relations in Stationary States of Interacting Brownian Particles under Shear

2009/03/03 by Matthias Krüger, Matthias Fuchs
Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Brownian motion #Classical mechanics #Constant (computer programming) #Detailed balance #Dissipation #Fluctuation theorem #Fluctuation-dissipation theorem #Material Dynamics and Properties #Materials science #Mechanics #Non-equilibrium thermodynamics #Physics #Quantum mechanics #Shear (geology) #Smoluchowski coagulation equation #Stationary state #Statistical physics #Theoretical and Computational Physics #cond-mat.soft

paper · pdf · doi:10.1103/physrevlett.102.135701

published as Phys. Rev. Lett 102, 135701 (2009) · accepted to Phys. Rev. Lett.

arxiv created 2009/03/03 · openalex publication_date 2009/03/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The fluctuation dissipation theorem is studied close to the glass transition in colloidal suspensions under steady shear. Shear breaks detailed balance in the many-particle Smoluchowski equation and gives response functions in the stationary state which are smaller at long times than estimated from the equilibrium fluctuation dissipation theorem. During the final shear-driven decay, an asymptotically constant relation connects response and fluctuations, restoring the form of the fluctuation dissipation theorem with, however, a ratio different from the equilibrium one.

Citations