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A symplectic integrator for molecular dynamics on a hypersphere

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 Added by Jean-Michel Caillol
 Publication date 2020
  fields Physics
and research's language is English
 Authors J.-M. Caillol




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We present a reversible and symplectic algorithm called ROLL, for integrating the equations of motion in molecular dynamics simulations of simple fluids on a hypersphere $mathcal{S}^d$ of arbitrary dimension $d$. It is derived in the framework of geometric algebra and shown to be mathematically equivalent to algorithm RATTLE. An application to molecular dynamics simulation of the one component plasma is briefly discussed.



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