Atomic-scale localization of high-energy solitary waves on lattices

DOI10.1016/S0167-2789(02)00604-8zbMath1064.82022MaRDI QIDQ700839

Karsten Matthies, Gero Friesecke

Publication date: 9 October 2002

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

zbMATH Keywords

dispersionless energy transportLennard-Jones type interactionslocalized travelling waves

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice dynamics; integrable lattice equations (37K60)

Related Items (19)

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Cites Work

• Unnamed Item
• Theory of nonlinear lattices
• Existence theorem for solitary waves on lattices
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Solitary waves on FPU lattices: II. Linear implies nonlinear stability
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Travelling waves in the Fermi-Pasta-Ulam lattice
• Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit

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