Fluctuations in Stationary non Equilibrium States
@inproceedings{Bertini2001FluctuationsIS, title={Fluctuations in Stationary non Equilibrium States}, author={Lorenzo Bertini and Alberto De Sole and Davide Gabrielli and Giovanni Jona-Lasinio and Claudio Landim}, year={2001} }
In this paper we formulate a dynamical fluctuation theory for stationary non equilibrium states (SNS) which covers situations in a nonlinear hydrodynamic regime and is verified explicitly in stochastic models of interacting particles. In our theory a crucial role is played by the time reversed dynamics. Our results include the modification of the Onsager–Machlup theory in the SNS, a general Hamilton–Jacobi equation for the macroscopic entropy and a non equilibrium, non linear fluctuation…
9 Citations
Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries
- Physics, Mathematics
- 2020
We obtain the exact large deviation functions of the density profile and of the current, in the non-equilibrium steady state of a one dimensional symmetric simple exclusion process coupled to…
References
SHOWING 1-5 OF 5 REFERENCES
Random Perturbations of Dynamical Systems
- Mathematics, Physics
- 1984
1.Random Perturbations.- 2.Small Random Perturbations on a Finite Time Interval.- 3.Action Functional.- 4.Gaussian Perturbations of Dynamical Systems. Neighborhood of an Equilibrium Point.-…
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…
An Introduction To Probability Theory And Its Applications
- Mathematics
- 1950
A First Course in Probability (8th ed.) by S. Ross is a lively text that covers the basic ideas of probability theory including those needed in statistics.
Commun
- Pure Appl. Math. 42
- 1989