415 citations · 1.1k across the 14 of their papers we have counts for
13 papers
Derivation of viscous Burgers equations from weakly asymmetric exclusion processes
M. Jara, C. Landim, K. Tsunoda
We consider weakly asymmetric exclusion processes whose initial density profile is a small perturbation of a constant. We show that in the diffusive time-scale, in all dimensions,…
Variational formulae for the capacity induced by second-order elliptic differential operators
C. Landim
We review recent progress in potential theory of second-order elliptic operators and on the metastable behavior of Markov processes.
Stationary states of boundary driven exclusion processes with nonreversible boundary dynamics
C. Erignoux, C. Landim, T. Xu
We prove a law of large numbers for the empirical density of one-dimensional, boundary driven, symmetric exclusion processes with different types of non-reversible dynamics at the…
Clausius inequality and optimality of quasi static transformations for nonequilibrium stationary states
L. Bertini, D. Gabrielli, G. Jona-Lasinio +1
Nonequilibrium stationary states of thermodynamic systems dissipate a positive amount of energy per unit of time. If we consider transformations of such states that are realized by…
Towards a nonequilibrium thermodynamics: a self-contained macroscopic description of driven diffusive systems
L. Bertini, A. De Sole, D. Gabrielli +2
In this paper we present a self-contained macroscopic description of diffusive systems interacting with boundary reservoirs and under the action of external fields. The approach is…
A Markovian growth dynamics on rooted binary trees evolving according to the Gompertz curve
C. Landim, R. D. Portugal, B. F. Svaiter
Inspired by biological dynamics, we consider a growth Markov process taking values on the space of rooted binary trees, similar to the Aldous-Shields model. Fix and .…
On the long range correlations of thermodynamic systems out of equilibrium
L. Bertini, A. De Sole, D. Gabrielli +2
Experiments show that macroscopic systems in a stationary nonequilibrium state exhibit long range correlations of the local thermodynamic variables. In previous papers we proposed…
Stochastic interacting particle systems out of equilibrium
L. Bertini, A. De Sole, D. Gabrielli +2
This paper provides an introduction to some stochastic models of lattice gases out of equilibrium and a discussion of results of various kinds obtained in recent years. Although th…
Non equilibrium current fluctuations in stochastic lattice gases
L. Bertini, A. De Sole, D. Gabrielli +2
We study current fluctuations in lattice gases in the macroscopic limit extending the dynamic approach for density fluctuations developed in previous articles. More precisely, we e…
Minimum dissipation principle in stationary non equilibrium states
L. Bertini, A. De Sole, D. Gabrielli +2
We generalize to non equilibrium states Onsager's minimum dissipation principle. We also interpret this principle and some previous results in terms of optimal control theory. Entr…
Large deviations for the boundary driven symmetric simple exclusion process
L. Bertini, A. De Sole, D. Gabrielli +2
The large deviation properties of equilibrium (reversible) lattice gases are mathematically reasonably well understood. Much less is known in non--equilibrium, namely for non rever…
Macroscopic fluctuation theory for stationary non equilibrium states
L. Bertini, A. De Sole, D. Gabrielli +2
We formulate a dynamical fluctuation theory for stationary non equilibrium states (SNS) which is tested explicitly in stochastic models of interacting particles. In our theory a cr…
Onsager reciprocity relations without microscopic reversibility
D. Gabrielli, G. Jona-Lasinio, C. Landim
In this paper we show that Onsager--Machlup time reversal properties of thermodynamic fluctuations and Onsager reciprocity relations for transport coefficients can hold also if the…