Onset and structure of interfaces in a Kawasaki+Glauber interacting particle system

DOI10.1007/BF01199029zbMath0828.60080OpenAlexW2076616645MaRDI QIDQ1898687

Yanyan Li

Publication date: 18 December 1995

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01199029

zbMATH Keywords

law of large numbersGaussian random fielddimension of the clustersreaction-diffusion spin systemunstable spatially homogeneous state

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Sample path properties (60G17) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (2)

Mean curvature interface limit from Glauber+Zero-range interacting particles ⋮ Motion by mean curvature from Glauber-Kawasaki dynamics

Cites Work

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• Reaction-diffusion equations for interacting particle systems
• Mathematical methods for hydrodynamic limits
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Phase separation and random domain patterns in a stochastic particle model
• Hydrodynamics and large deviation for simple exclusion processes
• Glauber evolution with Kac potentials: III. Spinodal decomposition
• Interface dynamics in an interacting spin system
• Development of interfaces in ℝ^N

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