Dynamics of finger arrays in a diffusion-limited growth model with a drift

DOI10.1016/S0167-2789(01)00387-6zbMath1036.82514MaRDI QIDQ1597251

R. Smith

Publication date: 12 May 2002

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

boundary-integral methodsballistic behaviorquasi-static approximationbiased random walk Monte Carlo schemeLaplacian growth regimewavelength-selection mechanism

Mathematics Subject Classification ID

Boundary element methods applied to problems in fluid mechanics (76M15) Interfacial stability and instability in hydrodynamic stability (76E17) 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)

Cites Work

• Surface-driven instability and enhanced relaxation in the dynamics of a nonequilibrium interface
• Finger competition and viscosity contrast in viscous fingering. A topological approach
• Laplacian and diffusional growth: A unified theoretical description for symmetrical and parity-broken patterns
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