Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms

Details Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms

1997-08-25

arxiv.org/abs/hep-lat/9708017v1

Nucl.Phys. B524 (1998) 603-617

Physics

High Energy Physics

High Energy Physics - Lattice

Latex2e file, 4 figures, 19 pages

Scientific paper

10.1016/S0550-3213(98)00174-6

We study the phenomenon of lack of reversibility in molecular dynamics algorithms for the case of Wilson's lattice QCD. We demonstrate that the classical equations of motion that are employed in these algorithms are chaotic in nature. The leading Liapunov exponent is determined in a range of coupling parameters. We give a quantitative estimate of the consequences of the breakdown of reversibility due to round-off errors.

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