A symplectic integrator for molecular dynamics on a hypersphere

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 Sd of arbitrary dimension d. It is derived in the framework of geometric algebra and shown to be mathematically equivalent to algo...

Full description

Bibliographic Details
Main Author: J.-M. Caillol
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2020-05-01
Series:Condensed Matter Physics
Subjects:
Online Access:https://doi.org/10.5488/CMP.23.23603
Description
Summary: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 Sd 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.
ISSN:1607-324X
2224-9079