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Symplectic integrators for spin systems

Other
Authors Robert McLachlan
Klas Modin
Publication year 2014
Published at Department of Mathematical Sciences, Mathematics
Language en
Links arxiv.org/abs/1402.4114
arxiv.org/pdf/1402.4114
Subject categories Numerical analysis, Computational physics, Mathematical physics, Non-linear dynamics, chaos

Abstract

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.

Page Manager: Webmaster|Last update: 9/11/2012
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