Complex step-size dependences in tracking a simple two-body dynamics

Details Complex step-size dependences in tracking a simple two-body dynamics Complex step-size dependences in tracking a simple two-body dynamics

1997-08-25

arxiv.org/abs/chao-dyn/9708018v1

RIKEN Review No. 15 (1997)95(Special Issue on Molecular Sciences)

Nonlinear Sciences

Chaotic Dynamics

8pages, LaTeX

Scientific paper

In molecular simulations, one of the most difficult points is to track the real dynamics of many-body systems from the first principle. The present study shows that step-size dependences have an unexpected effect on simulation results, even when we use the standard high-precision numerical integrators to apply to a simple system with a two-body interaction. The validity of our analysis is checked by the theory of adiabatic approximations.

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