Hydrodynamical behavior of symmetric exclusion with slow bonds
We consider the exclusion process in the one-dimensional discrete torus with N points,
where all the bonds have conductance one, except a finite number of slow bonds, with …
where all the bonds have conductance one, except a finite number of slow bonds, with …
Random walks and exclusion processes among random conductances on random infinite clusters: homogenization and hydrodynamic limit
A Faggionato - 2008 - projecteuclid.org
We consider a stationary and ergodic random field {ω(b):b∈E_d\} parameterized by the
family of bonds in Z^d, d≧2. The random variable ω(b) is thought of as the conductance of …
family of bonds in Z^d, d≧2. The random variable ω(b) is thought of as the conductance of …
[HTML][HTML] Hydrodynamics for the partial exclusion process in random environment
In this paper, we introduce a random environment for the exclusion process in Z d obtained
by assigning a maximal occupancy to each site. This maximal occupancy is allowed to …
by assigning a maximal occupancy to each site. This maximal occupancy is allowed to …
[HTML][HTML] Phase transition in equilibrium fluctuations of symmetric slowed exclusion
We analyze the equilibrium fluctuations of density, current and tagged particle in symmetric
exclusion with a slow bond. The system evolves in the one-dimensional lattice and the jump …
exclusion with a slow bond. The system evolves in the one-dimensional lattice and the jump …
Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization
A Faggionato - Probability Theory and Related Fields, 2022 - Springer
We consider continuous-time random walks on a random locally finite subset of R d with
random symmetric jump probability rates. The jump range can be unbounded. We assume …
random symmetric jump probability rates. The jump range can be unbounded. We assume …
Hydrodynamic limit of gradient exclusion processes with conductances
Fix a strictly increasing right continuous with left limits function W: R → R and a smooth
function Φ: l, r →\mathbb R, defined on some interval l, r of\mathbb R, such that 0< b\leqq …
function Φ: l, r →\mathbb R, defined on some interval l, r of\mathbb R, such that 0< b\leqq …
[HTML][HTML] Scaling limits for the exclusion process with a slow site
We consider the symmetric simple exclusion processes with a slow site in the discrete torus
with n sites. In this model, particles perform nearest-neighbor symmetric random walks with …
with n sites. In this model, particles perform nearest-neighbor symmetric random walks with …
Large deviations for the exclusion process with a slow bond
We consider the one-dimensional symmetric simple exclusion process with a slow bond. In
this model, whilst all the transition rates are equal to one, a particular bond, the slow bond …
this model, whilst all the transition rates are equal to one, a particular bond, the slow bond …
From quenched invariance principle to semigroup convergence with applications to exclusion processes
A Chiarini, S Floreani, F Sau - Electronic Communications in …, 2024 - projecteuclid.org
Consider a random walk on Z d in a translation-invariant and ergodic random environment
and starting from the origin. In this short note, assuming that a quenched invariance principle …
and starting from the origin. In this short note, assuming that a quenched invariance principle …