Soliton damping and energy loss in the classical continuum Heisenberg spin chain
- 1 December 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 24 (11) , 6751-6754
- https://doi.org/10.1103/physrevb.24.6751
Abstract
We consider the effect of damping on the evolution of a classical continuum one-dimensional isotropic Heisenberg ferromagnetic spin chain due to relativistic interaction. The corresponding Landau-Lifshitz equation is shown to be identifiable with a damped nonlinear Schrödinger equation. By obtaining an explicit decaying solitary wave solution for the energy density and magnetization density, we demonstrate the damping of the soliton solution with an associated loss of the total energy.Keywords
This publication has 10 references indexed in Scilit:
- Classical Spin Systems, Nonlinear Evolution Equations and Nonlinear ExcitationsProgress of Theoretical Physics, 1980
- Point singularities in micromagnetic systems with radial symmetryJournal of Physics C: Solid State Physics, 1980
- Dynamic properties of magnetic domain walls and magnetic bubblesReports on Progress in Physics, 1980
- Nonlinear dynamics of the infinite classical Heisenberg model: Existence proof and classical limit of the corresponding quantum time evolutionCommunications in Mathematical Physics, 1980
- Stationary, spherically and axially symmetric spin waves in the continuum Heisenberg spin systemPhysics Letters A, 1979
- Integration of the continuous Heisenberg spin chain through the inverse scattering methodPhysics Letters A, 1977
- Nonlinear Schrödinger equation including growth and dampingPhysics of Fluids, 1977
- Solitons on moving space curvesJournal of Mathematical Physics, 1977
- Continuum spin system as an exactly solvable dynamical systemPhysics Letters A, 1977
- On the Theory of Spin Waves in Ferromagnetic MediaPhysical Review B, 1951