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arXiv · hep-lat/9708017

Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms

Chuan Liu·Andreas Jaster·Karl Jansen
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Abstract

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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Chuan Liu, Andreas Jaster, Karl Jansen. 1997-08-25. Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms. https://doi.org/10.1016/s0550-3213(98)00174-6

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