Fast-reaction limit for Glauber-Kawasaki dynamics with two components
About:
This article is published in ALEA-Latin American Journal of Probability and Mathematical Statistics.The article was published on 2019-03-21 and is currently open access. It has received 13 citations till now. The article focuses on the topics: Glauber & Limit (mathematics).read more
Citations
More filters
Journal ArticleDOI
Motion by mean curvature from Glauber-Kawasaki dynamics
Tadahisa Funaki,Kenkichi Tsunoda +1 more
TL;DR: In this article, the authors studied the hydrodynamic scaling limit for the Glauber-Kawasaki dynamics and derived directly from the particle system the motion by mean curvature for the interfaces separating sparse and dense regions of particles.
Journal ArticleDOI
Stefan problem for a non-ergodic facilitated exclusion process
TL;DR: In this article, the facilitated exclusion process, which is a nonergodic, kinetically constrained exclusion process in the hydrodynamic limit, is considered and its macroscopic behavior is governed by a free boundary problem, where particles evolve on the one-dimensional lattice according to jump rates which are degenerate.
Posted Content
Mean curvature interface limit from glauber+zero-range interacting particles
TL;DR: In this article, the authors derived a mean-curvature flow as a certain hydrodynamic scaling limit of a class of Glauber+Zero-range particle systems, where the zero-range part moves particles while preserving particle numbers.
Journal ArticleDOI
Motion by mean curvature from Glauber-Kawasaki dynamics
Tadahisa Funaki,Kenkichi Tsunoda +1 more
TL;DR: In this paper, the authors studied the scaling limit of the Glauber-Kawasaki dynamics and derived the motion by mean curvature for the interfaces separating sparse and dense regions of particles as a combination of the hydrodynamic and sharp interface limits.
Journal ArticleDOI
The KPP equation as a scaling limit of locally interacting Brownian particles
Franco Flandoli,Ruojun Huang +1 more
TL;DR: In this paper, the scaling limit of the Fisher-KPP equation for a system of Brownian particles with local interaction is proved, and the approach taken here to overcome these difficulties is largely inspired by A. Hammond and F. Rezakhanlou [10] implemented there in the mean free path case instead of the local interaction regime.
References
More filters
Journal ArticleDOI
Spatial segregation limit of a competition-diffusion system
TL;DR: In this paper, the singular limit of a competition-diffusion system was studied and the convergence to a Stefan problem with zero latent heat was shown to be the same as in this paper.
Journal ArticleDOI
On estimating the derivatives of symmetric diffusions in stationary random environment, with applications to ∇ϕ interface model
TL;DR: In this paper, the authors considered diffusions on Ω ≥ 0.5 cm and random walks on √ ≥ 0 cm in a random environment with symmetric and uniformly elliptic coefficients.
Journal ArticleDOI
Markov chain approximations to symmetric diffusions
TL;DR: This paper contains an attempt to carry out for diffusions corresponding to divergence form operators the sort of approximation via Markov chains which is familiar in the non-divergence form context.
Journal ArticleDOI
Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions
TL;DR: In this article, the authors consider a competition-diffusion system with inhomogeneous Dirichlet boundary conditions for two competitive species and show that they spatially segregate as the interspecific competition rates become large.
Journal ArticleDOI
Vanishing, moving and immovable interfaces in fast reaction limits
TL;DR: This paper focuses on a reaction–diffusion system for which the reaction terms consist of monomial functions of various powers, and the behaviour of interfaces arising in the fast reaction limit of this system is studied.