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Geometric Integrators for Classical Spin Systems

✍ Scribed by Jason Frank; Weizhang Huang; Benedict Leimkuhler

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
500 KB
Volume
133
Category
Article
ISSN
0021-9991

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✦ Synopsis

Practical, structure-preserving methods for integrating classical Heisenberg spin systems are discussed. Two new integrators are els. This article addresses issues of practicality and derived and compared, including (1) a symmetric energy and spinefficiency in the numerical solution of a conservative length preserving integrator based on a Red-Black splitting of the nonlinear partial differential equation, the Landauspin sites combined with a staggered timestepping scheme and (2) Lifshitz (LL) equation. This system possesses integral a (Lie-Poisson) symplectic integrator based on Hamiltonian splitting.

invariants, a symplectic structure, and a time symmetry;

The methods are applied to both 1D and 2D lattice models and are compared with the commonly used explicit Runge-Kutta, projected

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