Geometric integrators for classical spin systems

DOI10.1006/jcph.1997.5672zbMath0878.65110OpenAlexW2007293127MaRDI QIDQ1360401

Weizhang Huang, Jason Frank, Benedict J. Leimkuhler

Publication date: 12 January 1998

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/11554

zbMATH Keywords

lattice modelsRunge-Kutta methodLandau-Lifshitz equationtime steppingHamiltonian splittingHeisenberg spin systemsLie-Poisson methodred-black splitting

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Atomic physics (81V45) Applications to the sciences (65Z05)

Related Items (13)

Nonlinear fluctuating hydrodynamics for the classical XXZ spin chain ⋮ Geometric space-time integration of ferromagnetic materials. ⋮ Symplectic integrators for the Ablowitz-Ladik discrete nonlinear Schrödinger equation ⋮ Explicit square conserving schemes of Landau-Lifshitz equation with Gilbert component ⋮ Observation-based correction of dynamical models using thermostats ⋮ Poisson integrators ⋮ Symplectic integrators for classical spin systems ⋮ Poisson integrators for Volterra lattice equations ⋮ Generating functions for dynamical systems with symmetries, integrals, and differential invariants ⋮ Energy-preserving methods on Riemannian manifolds ⋮ Splitting Integrators for the Stochastic Landau--Lifshitz Equation ⋮ Reversible adaptive regularization methods for atomic \(N\)-body problems in applied fields ⋮ IMPROVED SPIN DYNAMICS SIMULATIONS OF MAGNETIC EXCITATIONS

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• Dynamics of the classical Heisenberg spin chain
• Lectures on Mechanics
• Symplectic Integration of Constrained Hamiltonian Systems
• The spectral theory of a functional-difference operator in conformal field theory

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