A fluctuation-response relation of many Brownian particles under non-equilibrium conditions
arXiv:0709.1843 · doi:10.1103/PhysRevE.77.021108
Abstract
We study many interacting Brownian particles under a tilted periodic potential. We numerically measure the linear response coefficient of the density field by applying a slowly varying potential transversal to the tilted direction. In equilibrium cases, the linear response coefficient is related to the intensity of density fluctuations in a universal manner, which is called a fluctuation-response relation. We then report numerical evidence that this relation holds even in non-equilibrium cases. This result suggests that Einstein's formula on density fluctuations can be extended to driven diffusive systems when the slowly varying potential is applied in a direction transversal to the driving force.
5 pages, 5 figures
References in corpus (6)
- Large Deviation of the Density Profile in the Steady State of the Open Symmetric Simple Exclusion Process
- Free Energy Functional for Nonequilibrium Systems: An Exactly Solvable Case
- The Einstein relation generalized to non-equilibrium
- Exact Free Energy Functional for a Driven Diffusive Open Stationary Nonequilibrium System
- Thermodynamic relations in a driven lattice gas: numerical exprements
- Systematic derivation of coarse-grained fluctuating hydrodynamic equations for many Brownian particles under non-equilibrium condition
Cited by in corpus (9)
- Fluctuations and response of nonequilibrium states
- Frenesy: time-symmetric dynamical activity in nonequilibria
- Nonequilibrium linear response for Markov dynamics, I: jump processes and overdamped diffusions
- Response theory: a trajectory-based approach
- Interacting Brownian dynamics in a nonequilibrium particle bath
- Nonequilibrium temperature response for stochastic overdamped systems
- A general fluctuation-response relation for noise variations and its application to driven hydrodynamic experiments
- Temperature response in nonequilibrium stochastic systems
- Thermal response of a Fermi-Pasta-Ulam chain with Andersen thermostats