Kinetic relations for a lattice model of phase transitions

DOI10.1007/s00205-012-0566-8zbMath1295.74076OpenAlexW2097016764WikidataQ59902184 ScholiaQ59902184MaRDI QIDQ1938404

Johannes Zimmer, Hartmut R. Schwetlick

Publication date: 4 February 2013

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/31600/1/schwetlickzimmerkin.pdf

zbMATH Keywords

existencetravelling waveFermi-Pasta-Ulam chainquadratic interaction potential

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Waves in solid mechanics (74J99) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (6)

KdV-like solitary waves in two-dimensional FPU-lattices ⋮ Nonexistence of slow heteroclinic travelling waves for a bistable Hamiltonian lattice model ⋮ Nonlinear and nonlocal eigenvalue problems: variational existence, decay properties, approximation, and universal scaling limits ⋮ High-energy waves in superpolynomial FPU-type chains ⋮ On selection criteria for problems with moving inhomogeneities ⋮ Solitary waves in atomic chains and peridynamical media

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An atomistic investigation of the kinetics of detwinning
• On selection criteria for problems with moving inhomogeneities
• Mesoscale kinetics produces martensitic microstructure
• Quasicontinuum models of dynamic phase transitions
• Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys
• Mobility of lattice defects: Discrete and continuum approaches.
• Localized transition waves in bistable-bond lattices
• Kinetic relations and the propagation of phase boundaries in solids
• Nonexistence of slow heteroclinic travelling waves for a bistable Hamiltonian lattice model
• Transition waves in bistable structures. II: Analytical solution: wave speed and energy dissipation
• Existence of Dynamic Phase Transitions in a One-Dimensional Lattice Model with Piecewise Quadratic Interaction Potential
• Impact–induced phase transitions in thermoelastic solids
• Adiabatic Phase Boundary Propagation in a Theromoelastic Solid
• Kinetics of Martensitic Phase Transitions: Lattice model
• Dynamics of chains with non-monotone stress-strain relations. I: Model and numerical experiments
• Dynamics of chains with non-monotone stress-strain relations. II: Nonlinear waves and waves of phase transition
• Feeding and dissipative waves in fracture and phase transition. I: Some 1D structures and a square-cell lattice. II: Phase-transition waves

This page was built for publication: Kinetic relations for a lattice model of phase transitions