142 citations · 312 across the 6 of their papers we have counts for
6 papers
Anomalous long-range correlations at a non-equilibrium phase transition
Antoine Gerschenfeld, Bernard Derrida
Non-equilibrium diffusive systems are known to exhibit long-range correlations, which decay like the inverse 1/L of the system size L in one dimension. Here, taking the example of…
Current fluctuations at a phase transition
A. Gerschenfeld, B. Derrida
The ABC model is a simple diffusive one-dimensional non-equilibrium system which exhibits a phase transition. Here we show that the cumulants of the currents of particles through t…
Anomalous Fourier's law and long range correlations in a 1D non-momentum conserving mechanical model
A. Gerschenfeld, B. Derrida, J. L. Lebowitz
We study by means of numerical simulations the velocity reversal model, a one-dimensional mechanical model of heat transport introduced in 1985 by Ianiro and Lebowitz. Our numerica…
Current Fluctuations in One Dimensional Diffusive Systems with a Step Initial Density Profile
B. Derrida, A. Gerschenfeld
We show how to apply the macroscopic fluctuation theory (MFT) of Bertini, De Sole, Gabrielli, Jona-Lasinio, and Landim to study the current fluctuations of diffusive systems with a…
Current Fluctuations of the One Dimensional Symmetric Simple Exclusion Process with Step Initial Condition
Bernard Derrida, Antoine Gerschenfeld
For the symmetric simple exclusion process on an infinite line, we calculate exactly the fluctuations of the integrated current during time through the origin when, in th…
Reconstruction for models on random graphs
Antoine Gerschenfeld, Andrea Montanari
Consider a collection of random variables attached to the vertices of a graph. The reconstruction problem requires to estimate one of them given `far away' observations. Several th…