HOW IS SYMPLECTIC INTEGRATOR APPLICABLE TO MOLECULAR DYNAMICS?
Tsuneyasu Okabe, Hiroaki Yamada, Masaki Gôda
Abstract
Tsuneyasu Okabe, Hiroaki Yamada, Masaki Gôda
Abstract
We systematically investigate how symplectic integrator schemes are effective when applied to molecular dynamics method. The performances are estimated from a point of view of the total energy conservation by investigating molecular dynamics of one-component Lennard–Jones system in constant volume and constant temperature and pressure. It is shown that numerical simulations by the symplectic integrator scheme are better than those by classical schemes for a long-time simulation even in the case of large step size. The performances of various orders of symplectic integrator are evaluated.
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We systematically investigate how symplectic integrator schemes are effective when applied to molecular dynamics method. The performances are estimated from a point of view of the total energy conservation by investigating molecular dynamics of one-component Lennard–Jones system in constant volume and constant temperature and pressure. It is shown that numerical simulations by the symplectic integrator scheme are better than those by classical schemes for a long-time simulation even in the case of large step size. The performances of various orders of symplectic integrator are evaluated.
Key concepts: Integrator, Symplectic integrator, Symplectic geometry, Constant (computer programming), Molecular dynamics, Variational integrator, Computer science, Component (thermodynamics)