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pro vyhledávání: '"Derrida, B."'
Autor:
Derrida, B., Retaux, M.
The symmetric simple exclusion process is one of the simplest out-of-equilibrium systems for which the steady state is known. Its large deviation functional of the density has been computed in the past both by microscopic and macroscopic approaches.
Externí odkaz:
http://arxiv.org/abs/1303.7135
Autor:
Gerschenfeld, A., Derrida, B.
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 the system become singular near the phase transition. At the transition
Externí odkaz:
http://arxiv.org/abs/1107.2323
Anomalous Fourier's law and long range correlations in a 1D non-momentum conserving mechanical model
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 numerical results indicate that this model, although it does not conserve mome
Externí odkaz:
http://arxiv.org/abs/1007.3798
We consider the steady state of a one dimensional diffusive system, such as the symmetric simple exclusion process (SSEP) on a ring, driven by a battery at the origin or by a smoothly varying field along the ring. The battery appears as the limiting
Externí odkaz:
http://arxiv.org/abs/1003.5838
Momentum-conserving one-dimensional models are known to exhibit anomalous Fourier's law, with a thermal conductivity varying as a power law of the system size. Here we measure, by numerical simulations, several cumulants of the heat flux of a one-dim
Externí odkaz:
http://arxiv.org/abs/1002.3545
Autor:
Derrida, B., Gerschenfeld, A.
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 step initial condition. We argue that one has to distinguish between
Externí odkaz:
http://arxiv.org/abs/0907.3294
Publikováno v:
J. Stat. Phys. 133 1013 (2008)
We obtain explicit expressions for the long range correlations in the ABC model and in diffusive models conditioned to produce an atypical current of particles.In both cases, the two-point correlation functions allow to detect the occurrence of a pha
Externí odkaz:
http://arxiv.org/abs/0807.2394
Publikováno v:
Commun. Math. Phys. 287 (2009), 867-887.
We study the critical point of directed pinning/wetting models with quenched disorder. The distribution K(.) of the location of the first contact of the (free) polymer with the defect line is assumed to be of the form K(n)=n^{-\alpha-1}L(n), with L(.
Externí odkaz:
http://arxiv.org/abs/0712.2515
We show that the fluctuations of the partial current in two dimensional diffusive systems are dominated by vortices leading to a different scaling from the one predicted by the hydrodynamic large deviation theory. This is supported by exact computati
Externí odkaz:
http://arxiv.org/abs/0709.0444
Publikováno v:
J. Stat. Phys. 126, 1083-1108 (2007)
We investigate the behavior of the Gibbs-Shannon entropy of the stationary nonequilibrium measure describing a one-dimensional lattice gas, of L sites, with symmetric exclusion dynamics and in contact with particle reservoirs at different densities.
Externí odkaz:
http://arxiv.org/abs/0704.3742