Journal of Physics A Mathematical and General · 1989 · 36 citations · 28 references
Natural SciencesPhysicsComputational PhysicsCondensed Matter PhysicsMolecular PhysicsKinematicsLattice DynamicsMolecular CollisionsMulti-body DynamicsEnergy-momentum RelationHigh-energy Collision DynamicsLattice ModelsMolecular Collision DynamicsSoliton TheorySolitons
The authors present a detailed numerical study of the dynamics of high-energy kink excitations in monatomic chains, with a simple description using a microscopic model of the narrow kink core. They present velocity-amplitude and energy-momentum curves for the kink which fit well the numerical results. Kink-kink collisions are slightly inelastic depending on the velocities and point of collision within a lattice spacing.
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Studies of a non-linear lattice
Morikazu Toda · Physics Reports · 1975 · 464 citations
Dynamics of nonlinear mass-spring chains near the continuum limit
Philip Rosenau · Physics Letters A · 1986 · 205 citations