# 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…

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## 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