# Correlations in Nonequilibrium Steady States

@article{Lin2006CorrelationsIN, title={Correlations in Nonequilibrium Steady States}, author={Kevin K. Lin and Lai-Sang Young}, journal={arXiv: Statistical Mechanics}, year={2006} }

We present the results of a detailed study of energy correlations at steady state for a 1-D model of coupled energy and matter transport. Our aim is to discover -- via theoretical arguments, conjectures, and numerical simulations -- how spatial covariances scale with system size, their relations to local thermodynamic quantities, and the randomizing effects of heat baths. Among our findings are that short-range covariances respond quadratically to local temperature gradients, and long-range…

## References

SHOWING 1-10 OF 11 REFERENCES

Fluctuations in stationary nonequilibrium states of irreversible processes.

- PhysicsPhysical review letters
- 2001

We formulate a dynamical fluctuation theory for stationary nonequilibrium states (SNS) which covers situations in a nonlinear hydrodynamic regime and is verified explicitly in stochastic models of…

Memory Effects in Nonequilibrium Transport for Deterministic Hamiltonian Systems

- Physics
- 2006

We consider nonequilibrium transport in a simple chain of identical mechanical cells in which particles move around. In each cell, there is a rotating disc, with which these particles interact, and…

Coupled normal heat and matter transport in a simple model system.

- PhysicsPhysical review letters
- 2001

We introduce the first simple mechanical system that shows fully realistic transport behavior while still being exactly solvable at the level of equilibrium statistical mechanics. The system is a…

Large Deviation of the Density Profile in the Steady State of the Open Symmetric Simple Exclusion Process

- Physics
- 2002

AbstractWe consider an open one dimensional lattice gas on sites i=1,..., N, with particles jumping independently with rate 1 to neighboring interior empty sites, the simple symmetric exclusion…

Scaling Limits of Interacting Particle Systems

- Mathematics
- 1998

1. An Introductory Example: Independent Random Walks.- 2. Some Interacting Particle Systems.- 3. Weak Formulations of Local Equilibrium.- 4. Hydrodynamic Equation of Symmetric Simple Exclusion…

Monte Carlo Methods in Statistical Mechanics: Foundations and New Algorithms

- Physics
- 1997

These notes are an updated version of lectures given at the Cours de Troisieme Cycle de la Physique en Suisse Romande (Lausanne, Switzerland) in June 1989. We thank the Troisieme Cycle de la Physique…

Macroscopic Fluctuation Theory for Stationary Non-Equilibrium States

- Mathematics, Physics
- 2001

We formulate a dynamical fluctuation theory for stationary non-equilibrium states (SNS) which is tested explicitly in stochastic models of interacting particles. In our theory a crucial role is…

Long-range correlations for conservative dynamics.

- Environmental SciencePhysical review. A, Atomic, molecular, and optical physics
- 1990