Subsonic Phase Transition Waves in Bistable Lattice Models with Small Spinodal Region

DOI10.1137/120877878zbMath1287.37054arXiv1206.0268OpenAlexW1971319645WikidataQ59902170 ScholiaQ59902170MaRDI QIDQ2870582

Karsten Matthies, Johannes Zimmer, Michael Herrmann, Hartmut R. Schwetlick

Publication date: 21 January 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0268

zbMATH Keywords

kinetic relationsheteroclinic traveling waves in Fermi-pasta-Ulam chainsphase transitions in lattices

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Fixed-point theorems (47H10) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Lattice dynamics; integrable lattice equations (37K60)

Related Items (10)

Micropteron traveling waves in diatomic Fermi-Pasta-Ulam-Tsingou lattices under the equal mass limit ⋮ Cnoidal waves on Fermi-Pasta-Ulam lattices ⋮ KdV-like solitary waves in two-dimensional FPU-lattices ⋮ KdV waves in atomic chains with nonlocal interactions ⋮ Solitary waves in the excitable Burridge-Knopoff model ⋮ Nanopteron solutions of diatomic Fermi-Pasta-Ulam-Tsingou lattices with small mass-ratio ⋮ Nonlinear and nonlocal eigenvalue problems: variational existence, decay properties, approximation, and universal scaling limits ⋮ High-energy waves in superpolynomial FPU-type chains ⋮ Travelling waves for a Frenkel-Kontorova chain ⋮ Solitary waves in atomic chains and peridynamical media

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