The mesoscopic dynamics of thermodynamic systems

D Reguera, JM Rubi, JMG Vilar - The Journal of Physical …, 2005 - ACS Publications
Concepts of everyday use such as energy, heat, and temperature have acquired a precise
meaning after the development of thermodynamics. Thermodynamics provides the basis for …

The rheology of hard sphere suspensions at arbitrary volume fractions: An improved differential viscosity model

CI Mendoza, I Santamaria-Holek - The Journal of chemical physics, 2009 - pubs.aip.org
We propose a simple and general model accounting for the dependence of the viscosity of a
hard sphere suspension at arbitrary volume fractions. The model constitutes a continuum …

Generalized Langevin equation with shear flow and its fluctuation-dissipation theorems derived from a Caldeira-Leggett Hamiltonian

S Pelargonio, A Zaccone - Physical Review E, 2023 - APS
We provide a first-principles derivation of the Langevin equation with shear flow and its
corresponding fluctuation-dissipation theorems. Shear flow of simple fluids has been widely …

The Fluctuation-Dissipation Theorem fails for fast superdiffusion

IVL Costa, R Morgado, MVBT Lima… - Europhysics …, 2003 - iopscience.iop.org
We study anomalous diffusion for one-dimensional systems described by a generalized
Langevin equation. We show that superdiffusive systems can be divided into two classes …

On the second fluctuation–dissipation theorem for nonequilibrium baths

C Maes - Journal of Statistical Physics, 2014 - Springer
Baths produce friction and random forcing on particles suspended in them. The relation
between noise and friction in (generalized) Langevin equations is usually referred to as the …

Generalized Fokker–Planck equations derived from generalized linear nonequilibrium thermodynamics

TD Frank - Physica A: Statistical Mechanics and its Applications, 2002 - Elsevier
Recently, Compte and Jou derived nonlinear diffusion equations by applying the principles
of linear nonequilibrium thermodynamics to the generalized nonextensive entropy proposed …

Homogeneous nucleation in inhomogeneous media. II. Nucleation in a shear flow

D Reguera, JM Rubı - The Journal of chemical physics, 2003 - pubs.aip.org
We investigate the influence of a shear flow on the process of nucleation. Mesoscopic
nonequilibrium thermodynamics is used to derive the Fokker–Planck equation governing the …

Dynamics of a trapped Brownian particle in shear flows

L Holzer, J Bammert, R Rzehak, W Zimmermann - Physical Review E …, 2010 - APS
The Brownian motion of a particle in a harmonic potential, which is simultaneously exposed
either to a linear shear flow or to a plane Poiseuille flow is investigated. In the shear plane of …

Mixing, Ergodicity and the Fluctuation-Dissipation Theorem in complex systems

MH Vainstein, IVL Costa, FA Oliveira - Jamming, Yielding, and Irreversible …, 2006 - Springer
Complex systems such as glasses, gels, granular materials, and systems far from
equilibrium exhibit violation of the ergodic hypothesis (EH) and of the fluctuation-dissipation …

Brownian motion of finite-inertia particles in a simple shear flow

Y Drossinos, MW Reeks - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
Simultaneous diffusive and inertial motion of Brownian particles in laminar Couette flow is
investigated via Lagrangian and Eulerian descriptions to determine the effect of particle …