Travelling fronts in nonlocal models for phase separation in an external field

DOI10.1017/S0308210500023854zbMath0882.45011MaRDI QIDQ4354111

Livio Triolo, Enza Orlandi

Publication date: 8 March 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityphase separationexternal fieldtravelling frontsIsing systemnonlocal evolution equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Statistical mechanics of magnetic materials (82D40) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (10)

A two-dimensional stochastic fractional non-local diffusion lattice model with delays ⋮ Exponential attractors for two-dimensional nonlocal diffusion lattice systems with delay ⋮ \(L^{2}\)-stability of traveling wave solutions to nonlocal evolution equations ⋮ Existence and stability of traveling wavefronts in a nonlocal diffusion equation with delay ⋮ Equivariant bifurcations in a non-local model of ferromagnetic materials ⋮ Traveling waves for delayed non-local diffusion equations with crossing-monostability ⋮ Traveling wave fronts of delayed non-local diffusion systems without quasimonotonicity ⋮ Global attractor and nonhomogeneous equilibria for a nonlocal evolution equation in an unbounded domain ⋮ Traveling wavefronts in nonlocal dispersal and cooperative Lotka-Volterra system with delays ⋮ Stochastic Ising models and anisotropic front propagation

Cites Work

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• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Travelling fronts in non-local evolution equations
• Completely continuous perturbations of operators
• Existence and uniqueness of travelling waves for a neural network
• Glauber evolution with Kac potentials. I. Mesoscopic and macroscopic limits, interface dynamics
• Stability of the interface in a model of phase separation
• Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition

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