11 citations · 12 across the 7 of their papers we have counts for
8 papers · 1 filter
Hydrodynamic limit of the directed exclusion process
Ellen Saada, Federico Sau, Assaf Shapira
We derive the Euler (hyperbolic) hydrodynamic limit for the directed exclusion process (DEP), a one-dimensional conservative interacting particle system that preserves particle-hol…
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…
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…
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…
Supercriticality conditions for asymmetric zero-range process with sitewise disorder
C. Bahadoran, T. Mountford, K. Ravishankar +1
We discuss necessary and sufficient conditions for the convergence of disordered asymmetric zero-range process to the critical invariant measures.
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…
Strong hydrodynamic limit for attractive particle systems on Z
C. Bahadoran, H. Guiol, K. Ravishankar +1
We prove almost sure Euler hydrodynamics for a large class of attractive particle systems on starting from an arbitrary initial profile. We generalize earlier works by Seppälä…
Hydrodynamics for totally asymmetric -step exclusion processes
Herve Guiol, Krishnamurthi Ravishankar, Ellen Saada
We describe the hydrodynamic behavior of the -step exclusion process. Since the flux appearing in the hydrodynamic equation for this particle system is neither convex nor concav…