We analyze the symmetric simple partial exclusion process, which allows at most α particles
per site, and we put it in contact with stochastic reservoirs whose strength is regulated by a …

In these notes, we describe the strategy for the derivation of the hydrodynamic limit for a
family of long range interacting particle systems of exclusion type with symmetric rates. For …

In this article we derive the fractional porous medium equation for any power of the fractional
Laplacian as the hydrodynamic limit of a microscopic dynamics of random particles with long …

In this article, we consider the ABC model in contact with slow/fast reservoirs. In this model,
there is one particle per site, which can be of type α∈{A, B, C} and particles exchange …

We study two tightly related classes of statistical mechanics models on the two-dimensional
square lattice—kinetically constrained models and bootstrap percolation. The former arose …

The purpose of this article is to provide a simple proof of the hydrodynamic and hydrostatic
behavior of the SSEP in contact with slowed reservoirs which inject and remove particles in …

We construct a nearest-neighbour interacting particle system of exclusion type, which
illustrates a transition from slow to fast diffusion. More precisely, the hydrodynamic limit of …

Kinetically constrained models Page 1 Ivailo Hartarsky and Cristina Toninelli Kinetically
constrained models December 19, 2024 Springer Nature arxiv:2412.13634v1 [math.HO] 18 …

We study the convergence of the weak solution of the porous medium equation with a type
of Robin boundary conditions, by tuning a parameter either to zero or to infinity. The …

This paper investigated the use of a successive over-relaxation parameter in a quarter-
sweep finite difference approximation scheme. The performance of the developed quarter …