Symplectic integrators for spin systems
Preprint, 2014

We present a symplectic integrator, based on the canonical midpoint rule, for classical spin systems in which each spin is a unit vector in ℝ3. Unlike splitting methods, it is defined for all Hamiltonians, and is O(3)-equivariant. It is a rare example of a generating function for symplectic maps of a noncanonical phase space. It yields an integrable discretization of the reduced motion of a free rigid body.


Robert McLachlan

Klas Modin

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

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