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- Bernard Derrida, D. MukameP
- 2004

A simple asymmetric exclusion model with open boundaries is solved exactly in one dimension. The exact solution is obtained by deriving a recursion relation for the steady state: if the steady stateâ€¦ (More)

- Bernard Derrida
- 2007

These lecture notes give a short review of methods such as the matrix ansatz, the additivity principle or the macroscopic fluctuation theory, developed recently in the theory of non-equilibriumâ€¦ (More)

We consider a diluted and nonsymmetric version of the Little-Hopfield model which can be solved exactly. We obtain the analytic expression of the evolution of one configuration having a finiteâ€¦ (More)

- Emmanuel Brunet, Bernard Derrida, Axel H E MÃ¼ller, Sandie Munier
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2006

We propose a phenomenological description for the effect of a weak noise on the position of a front described by the Fisher-Kolmogorov-Petrovsky-Piscounov equation or any other traveling-waveâ€¦ (More)

- Bernard Derrida, J. L. Lebowitz, E. R. Speer
- Physical review letters
- 2001

We consider the steady state of an open system in which there is a flux of matter between two reservoirs at different chemical potentials. For a large system of size N, the probability of anyâ€¦ (More)

- Thierry Bodineau, Bernard Derrida
- Physical review letters
- 2004

We formulate a simple additivity principle allowing one to calculate the whole distribution of current fluctuations through a large one dimensional system in contact with two reservoirs at unequalâ€¦ (More)

We 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 process. Theâ€¦ (More)

- Bernard Derrida, S. A. Janowsky, J. L. Lebowitz, E. R. Speer
- 2004

The microscopic structure of macroscopic shocks in the one-dimensional, totally asymmetric simple exclusion process is obtained exactly from the complete solution of the stationary state of a modelâ€¦ (More)

- Bernard Derrida, H. LACOIN, Fabio Lucio Toninelli
- 2007

We study the critical point of directed pinning/wetting models with quenched disorder. The distribution K(Â·) of the location of the first contact of the (free) polymer with the defect line is assumedâ€¦ (More)

- Thierry Bodineau, Bernard Derrida
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2005

We consider diffusive lattice gases on a ring and analyze the stability of their density profiles conditionally to a current deviation. Depending on the current, one observes a phase transitionâ€¦ (More)