Motion by curvature by scaling nonlocal evolution equations

DOI10.1007/BF01054339zbMath1102.82323OpenAlexW2074061771MaRDI QIDQ2499946

Enza Orlandi, Anna De Masi, Errico Presutti, Livio Triolo

Publication date: 23 August 2006

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

Full work available at URL: https://doi.org/10.1007/bf01054339

zbMATH Keywords

interface dynamicsPhase separation

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (27)

Motion by mean curvature by scaling a nonlocal equation: Convergence at all times in the two-dimensional case ⋮ Homogenization of the Allen-Cahn equation with periodic mobility ⋮ A variational principle for pulsating standing waves and an Einstein relation in the sharp interface limit ⋮ Stability of the instanton under small random perturbations ⋮ The scaling limit for a stochastic PDE and the separation of phases ⋮ Generalized motion by mean curvature as a macroscopic limit of stochastic Ising models with long range interactions and Glauber dynamics ⋮ The Heat Equation Shrinks Ising Droplets to Points ⋮ The initial drift of a 2D droplet at zero temperature ⋮ Travelling fronts in non-local evolution equations ⋮ Mean curvature interface limit from Glauber+Zero-range interacting particles ⋮ Approximation and comparison for motion by mean curvature with intersection points ⋮ Surface tension and \(\Gamma\)-convergence of Van der Waals-Cahn-Hilliard phase transitions in stationary ergodic media ⋮ On large deviations of interface motions for statistical mechanics models ⋮ Stochastic Allen-Cahn equation with mobility ⋮ Fully Nonlinear Phase Field Equations and Generalized Mean Curvature Motion ⋮ Young measures in a nonlocal phase transition problem ⋮ Derivation of Orowan's Law from the Peierls–Nabarro Model ⋮ Zero-temperature 2D stochastic Ising model and anisotropic curve-shortening flow ⋮ Stationary currents in long-range interacting magnetic systems ⋮ On the validity of an einstein relation in models of interface dynamics ⋮ Singular limit for stochastic reaction-diffusion equation and generation of random interfaces ⋮ Homoclinic solutions to an integral equation: Existence and stability ⋮ Motion by mean curvature from Glauber-Kawasaki dynamics ⋮ Algebraic Rate of Decay for The Excess Free Energy And Stability of Fronts for A Nonlocal Phase Kinetics Equation with A Conservation Law,Ii ⋮ Ginzburg-Landau equation and motion by mean curvature. I: Convergence ⋮ Long-term Behavior and Numerical Analysis of a Nonlocal Evolution Equation with Kac Potential ⋮ Surface tension in Ising systems with Kac potentials.

Cites Work

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