Mesoscopic virial equation for nonequilibrium statistical mechanics
arXiv:1512.01687 · doi:10.1088/1367-2630/18/9/093043
Abstract
We derive a class of mesoscopic virial equations governing energy partition between conjugate position and momentum variables of individual degrees of freedom. They are shown to apply to a wide range of nonequilibrium steady states with stochastic (Langevin) and deterministic (Nosé--Hoover) dynamics, and to extend to collective modes for models of heat-conducting lattices. A generalised macroscopic virial theorem ensues upon summation over all degrees of freedom. This theorem allows for the derivation of nonequilibrium state equations that involve dissipative heat flows on the same footing with state variables, as exemplified for inertial Brownian motion with solid friction and overdamped active Brownian particles subject to inhomogeneous pressure.
14 pages, 3 figures. Some revisions
References in corpus (12)
- Pressure and Phase Equilibria in Interacting Active Brownian Spheres
- Nonequilibrium equation of state in suspensions of active colloids
- Active particles with soft and curved walls: Equation of state, ratchets, and instabilities
- Dynamical density functional theory for molecular and colloidal fluids: a microscopic approach to fluid mechanics
- Ideal bulk pressure of active Brownian particles
- Brownian motion with dry friction: Fokker-Planck approach
- Effective temperatures of hot Brownian motion
- Granular Brownian motion with dry friction
- Nonequilibrium fluctuation-dissipation theorem and heat production
- Effective temperatures of a heated Brownian particle
- Resonance frequency shift of strongly heated micro-cantilevers
- About the role of chaos and coarse graining in Statistical Mechanics
Cited by in corpus (22)
- Inertial self-propelled particles
- Non-Equilibrium Surface Tension of the Vapour-Liquid Interface of Active Lennard-Jones Particles
- Sedimentation of self-propelled Janus colloids: polarization and pressure
- Interacting Brownian dynamics in a nonequilibrium particle bath
- Local stress and pressure in an inhomogeneous system of spherical active Brownian particles
- Macroscopic Stochastic Thermodynamics
- Effective equilibrium states in mixtures of active particles driven by colored noise
- Pressure in an exactly solvable model of active fluid
- Surface Tensions between Active Fluids and Solid Interfaces: bare vs dressed
- Microscopic derivation of the hydrodynamics of active-Brownian-particle suspensions
- Van't Hoff's law for active suspensions: the role of the solvent chemical potential
- Inclusions, Boundaries and Disorder in Scalar Active Matter
- Designing, Synthesizing and Modeling Active Fluids
- Motility-Induced Clustering and Meso-Scale Turbulence in Active Polar Fluids
- Generalized Fluctuation-Dissipation relations holding in non-equilibrium dynamics
- A general fluctuation-response relation for noise variations and its application to driven hydrodynamic experiments
- Thermal response of nonequilibrium RC-circuits
- Memory Effects in Active Particles with Exponentially Correlated Propulsion
- Brownian Thermometry Beyond Equilibrium
- Generalized equipartition for nonlinear multiplicative Langevin dynamics: application to laser-cooled atoms
- Non-equilibrium (thermo)dynamics of colloids under mobile piston compression
- Fluctuations of driven probes reveal nonequilibrium transitions in complex fluids