Algorithm for molecular dynamics simulations of spin liquids
arXiv:cond-mat/0012059 · doi:10.1103/PhysRevLett.86.898
Abstract
A new symplectic time-reversible algorithm for numerical integration of the equations of motion in magnetic liquids is proposed. It is tested and applied to molecular dynamics simulations of a Heisenberg spin fluid. We show that the algorithm exactly conserves spin lengths and can be used with much larger time steps than those inherent in standard predictor-corrector schemes. The results obtained for time correlation functions demonstrate the evident dynamic interplay between the liquid and magnetic subsystems.
4 pages, 2 figures; to be published in Phys. Rev. Lett
References in corpus (1)
Cited by in corpus (29)
- Massively parallel symplectic algorithm for coupled magnetic spin dynamics and molecular dynamics
- Optimized Verlet-like algorithms for molecular dynamics simulations
- On the construction of high-order force gradient algorithms for integration of motion in classical and quantum systems
- General method for atomistic spin-lattice dynamics with first principles accuracy
- Optimized Forest-Ruth- and Suzuki-like algorithms for integration of motion in many-body systems
- Reinventing atomistic magnetic simulations with spin-orbit coupling
- Modeling coupled spin and lattice dynamics
- Geometric integration of classical spin dynamics via a mean-field Schrödinger equation
- Collective dynamics in atomistic models with coupled translational and spin degrees of freedom
- Shadow Hamiltonians, Poisson Brackets, and Gauge Theories
- Exact Pseudofermion Action for Monte Carlo Simulation of Domain-Wall Fermion
- Lattice QCD with domain-wall quarks
- Ferromagnetic phase transition in a Heisenberg fluid: Monte Carlo simulations and Fisher corrections to scaling
- Symplectic integrators for spin systems
- Improved study of the -function of gauge theory with massless domain-wall fermions
- Ultrafast Many-Body Dynamics in an Ultracold Rydberg-Excited Atomic Mott Insulator
- Spatially inhomogeneous population dynamics: beyond the mean field approximation
- Symplectic integrators for classical spin systems
- Molecular dynamics simulations of spin and pure liquids with preserving all the conservation laws
- Rotationally invariant formulation of spin-lattice coupling in multi-scale modeling
- Topological susceptibility in finite temperature QCD with physical domain-wall quarks
- Accelerating spin-space sampling by auxiliary spin-dynamics and temperature-dependent spin-cluster expansion
- Energy balance and energy correction in dynamics of classical spin systems
- Magnetic phase transition in coupled spin-lattice systems: A replica-exchange Wang-Landau study
- Simulation of Lattice QCD with Domain-Wall Fermions
- Beauty mesons in lattice QCD with exact chiral symmetry
- The BKT Transition and its Dynamics in a Spin Fluid
- New Pseudofermion Action for Monte-Carlo Simulation of Lattice Field Theory with Domain-Wall Fermions
- Collective Symplectic Integrators on