Motion by mean curvature from Glauber-Kawasaki dynamics

DOI10.1007/s10955-019-02364-7zbMath1488.60234arXiv1812.10182OpenAlexW3098278989MaRDI QIDQ2328726

Kenkichi Tsunoda, Tadahisa Funaki

Publication date: 10 October 2019

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10182

zbMATH Keywords

hydrodynamic limitmotion by mean curvatureGlauber-Kawasaki dynamicsAllen-Cahn EquationSharp interface limit

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Structured surfaces and interfaces, coexistent phases (74A50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (10)

Fast-reaction limit for Glauber-Kawasaki dynamics with two components ⋮ Mean curvature interface limit from Glauber+Zero-range interacting particles ⋮ Equilibrium perturbations for stochastic interacting systems ⋮ Hydrodynamic limit and stochastic PDEs related to interface motion ⋮ Hydrodynamic limit of the Schelling model with spontaneous Glauber and Kawasaki dynamics ⋮ The KPP equation as a scaling limit of locally interacting Brownian particles ⋮ Derivation of viscous Burgers equations from weakly asymmetric exclusion processes ⋮ Spatial-segregation limit for exclusion processes with two components under unbalanced reaction ⋮ Motion by mean curvature in interacting particle systems ⋮ Motion by mean curvature from Glauber-Kawasaki dynamics with speed change

Cites Work

• Unnamed Item
• Unnamed Item
• Mixing times of monotone surfaces and SOS interfaces: a mean curvature approach
• Integration by parts formulae for Wiener measures on a path space between two curves
• Reaction-diffusion equations for interacting particle systems
• Nonlinear diffusion limit for a system with nearest neighbor interactions
• Mathematical methods for hydrodynamic limits
• Interface motion in models with stochastic dynamics
• Spatial patterns when phases separate in an interacting particle system
• Interacting particle systems and generalized evolution of fronts
• Markov chain approximations to symmetric diffusions
• Hydrodynamic limit for \(\nabla\varphi\) interface model on a wall
• Hydrodynamic limit for exclusion processes
• Singular limit for stochastic reaction-diffusion equation and generation of random interfaces
• Fluctuations for \(\nabla \varphi \) interface model on a wall.
• Generalized motion by mean curvature as a macroscopic limit of stochastic Ising models with long range interactions and Glauber dynamics
• Onset and structure of interfaces in a Kawasaki+Glauber interacting particle system
• Relative entropy and hydrodynamics of Ginzburg-Landau models
• Lattice model for fast diffusion equation
• On large deviations of interface motions for statistical mechanics models
• Motion by curvature by scaling nonlocal evolution equations
• On estimating the derivatives of symmetric diffusions in stationary random environment, with applications to \(\nabla\varphi\) interface model
• Lectures on Random Interfaces
• Lecture Notes on Mean Curvature Flow, Barriers and Singular Perturbations
• “Zero” temperature stochastic 3D ising model and dimer covering fluctuations: A first step towards interface mean curvature motion
• Glauber evolution with Kac potentials. I. Mesoscopic and macroscopic limits, interface dynamics
• Non-equilibrium fluctuations for a reaction-diffusion model via relative entropy
• Fast-reaction limit for Glauber-Kawasaki dynamics with two components
• Asymptotic behavior of solutions of an allen-cahn equation with a nonlocal term

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