Translationally invariant kink solutions of discrete \(\varphi^4\) models

DOI10.1007/S11182-010-9409-YzbMath1205.81110OpenAlexW2051572002MaRDI QIDQ619406

A. I. Potekaev, Avinash Khare, J. A. Baimova, Yuri V. Bebikhov, Sergey V. Dmitriev

Publication date: 24 January 2011

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-010-9409-y

zbMATH Keywords

discrete modelstranslationally invariant structures

Mathematics Subject Classification ID

Model quantum field theories (81T10) Quantum field theory on lattices (81T25) Statistical mechanics of solids (82D20)

Related Items (1)

The influence of the density of structural planar defects on the structural-phase transformations in low-stability tetragonal alloys

Cites Work

• Long-period states of a crystal finite-size-particle system
• From integrable lattices to non-QRT mappings
• On a class of discretizations of Hamiltonian nonlinear partial differential equations
• Integrable mappings and soliton equations. II
• How to find the conserved quantities of nonlinear discrete equations
• A discrete $\phi^4$ system without a Peierls - Nabarro barrier
• Continuum limit of lattice approximation schemes
• Topological discrete kinks
• Kink dynamics in a novel discrete sine-Gordon system
• Exact static solutions to a translationally invariant discrete phi⁴model
• Standard nearest-neighbour discretizations of Klein–Gordon models cannot preserve both energy and linear momentum
• Kinks in dipole chains
• Discrete Klein–Gordon models with static kinks free of the Peierls–Nabarro potential

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