activity
20062025
most citedEuler hydrodynamics of one-dimensional attractive particle systems

22 citations · 42 across the 9 of their papers we have counts for

collaborators

11 papers

math.PR2025

Hydrodynamics and relaxation limit for multilane exclusion process and related hyperbolic systems

Gideon Amir, Christophe Bahadoran, Ofer Busani +1

We investigate the hydrodynamic behavior and local equilibrium of the multilane exclusion process, whose invariant measures were studied in our previous paper \cite{mlt1a}. The dyn…

math.PR2021★ 2 cited

Invariant measures for multilane exclusion process

Gideon Amir, Christophe Bahadoran, Ofer Busani +1

We consider the simple exclusion process on Z x {0, 1}, that is, an ''horizontal ladder'' composed of 2 lanes, depending on 6 parameters. Particles can jump according to a lane-dep…

math.PR2020

Zero-range process in random environment

Christophe Bahadoran, Thomas Mountford, K. Ravishankar +1

We survey our recent articles dealing with one dimensional attractive zero range processes moving under site disorder. We suppose that the underlying random walks are biased to the…

math.PR2018

Quenched convergence and strong local equilibrium for asymmetric zero-range process with site disorder

Christophe Bahadoran, T. Mountford, K. Ravishankar +1

We study asymmetric zero-range processes on Z with nearest-neighbour jumps and site disorder. The jump rate of particles is an arbitrary but bounded nondecreasing function of the n…

math.PR2018

Hydrodynamics in a condensation regime: the disordered asymmetric zero-range process

Christophe Bahadoran, T. Mountford, K. Ravishankar +1

We study asymmetric zero-range processes on Z with nearest-neighbour jumps and site disorder. The jump rate of particles is an arbitrary but bounded nondecreasing function of the n…

math.PR2017

Constructive Euler hydrodynamics for one-dimensional attractive particle systems

C Bahadoran, H Guiol, K Ravishankar +1

We review a (constructive) approach first introduced in [6] and further developed in [7, 8, 38, 9] for hydrodynamic limits of asymmetric attractive particle systems, in a weak or i…

math.PR2016★ 1 cited

Quantitative estimates for the flux of TASEP with dilute site disorder

Christophe Bahadoran, T. Bodineau

We prove that the flux function of the totally asymmetric simple exclusion process (TASEP) with site disorder exhibits a flat segment for sufficiently dilute disorder. For high dil…

math.PR2014

Supercritical behavior of asymmetric zero-range process with sitewise disorder

C. Bahadoran, T. Mountford, K. Ravishankar +1

We establish necessary and sufficient conditions for weak convergence to the upper invariant measure for asymmetric nearest neighbour zero range processes with non homogeneous jump…

math.PR2012

Euler hydrodynamics for attractive particle systems in random environment

Christophe Bahadoran, Hervé Guiol, K. Ravishankar +1

We prove quenched hydrodynamic limit under hyperbolic time scaling for bounded attractive particle systems on in random ergodic environment. Our result is a strong law of larg…

math-ph2010★ 17 cited

A quasi-potential for conservation laws with boundary conditions

Christophe Bahadoran

We compute the quasi-potential and determine minimizing paths for an action functional related to scalar conservation laws on an interval with boundary conditions in the sense of B…

math.PR2006★ 22 cited

Euler hydrodynamics of one-dimensional attractive particle systems

C. Bahadoran, H. Guiol, K. Ravishankar +1

We consider attractive irreducible conservative particle systems on , without necessarily nearest-neighbor jumps or explicit invariant measures. We prove that for such…