Exclusion process with slow boundary

R Baldasso, O Menezes, A Neumann… - Journal of Statistical …, 2017 - Springer
… If \(\theta \in (0,1)\), we get Dirichlet boundary conditions, (which is the same … of boundary
driven gradient symmetric exclusion processes, 2008); if \(\theta =1\), we get Robin boundary

Large deviations in the symmetric simple exclusion process with slow boundaries: A hydrodynamic perspective

S Saha, T Sadhu - SciPost Physics, 2024 - scipost.org
… simple exclusion process slowly coupled with two unequal reservoirs at the boundaries. In its
… The slow coupling introduces additional boundary terms in the MFT-Action, which modifies …

[HTML][HTML] Scaling limits for the exclusion process with a slow site

T Franco, P Gonçalves, GM Schütz - … Processes and their applications, 2016 - Elsevier
… the symmetric simple exclusion processes with a slow site in the … boundary conditions.
This raises the question from which microscopic boundary interactions a given type of boundary

[PDF][PDF] The weakly asymmetric simple exclusion process

A De Masi, E Presutti, E Scacciatelli - Annales de l'IHP Probabilités et …, 1989 - numdam.org
… In this paper we shall consider the exclusion process. The relation … exclusion process, we
refer to the next section for precise … of the simple exclusion is multiplied by a "slowly varying" …

Large deviations in the symmetric simple exclusion process with slow boundaries

B Derrida, O Hirschberg, T Sadhu - Journal of Statistical Physics, 2021 - Springer
… Our results show that slow boundaries as in Fig. 1, ie when the rates at the boundaries
are … Our new results in the present paper are for slow boundaries which correspond to \(\…

Hydrodynamical limit for spatially heterogeneous simple exclusion processes

C Bahadoran - Probability theory and related fields, 1998 - Springer
… to spatially heterogeneous, asymmetric misanthrope processes with slow birth and death. …
there, because the flux vanishes smoothly on the boundary of X0. In this respect, entropy (or …

Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Approach

S Saha, T Sadhu - arXiv preprint arXiv:2310.11350, 2023 - arxiv.org
… simple exclusion process slowly coupled with two unequal reservoirs at the boundaries. In
its … The slow coupling introduces additional boundary terms in the MFT-action which modifies …

Hydrostatic limit for exclusion process with slow boundary revisited

K Tsunoda - arXiv preprint arXiv:1902.06210, 2019 - arxiv.org
… for the exclusion process with slow boundary and related … The large deviation for the exclusion
process with a slow … In Section 2, we introduce the exclusion process with slow boundary

Hydrodynamic limit for asymmetric simple exclusion with accelerated boundaries

L Xu - Annales de l'Institut Henri Poincare (B) Probabilites et …, 2024 - projecteuclid.org
exclusion process (ASEP) on the one-dimensional finite lattice {1,2,...,N}. The particles can
be created/annihilated at the boundaries … on the vanishing boundary drift created by the slow

Hydrodynamics of weakly asymmetric exclusion with slow boundary

P Capitão, P Gonçalves - International Conference Particle Systems and …, 2017 - Springer
… The process we are going to study is a simple exclusion process on the discrete space \(\varLambda
_N=\{1,\dots ,N-1\}\), for some \(N\in \mathbb N\). This means that at most one …