Gupta, Sourendu (1992) Dynamical critical properties of the hybrid Monte Carlo algorithm Nuclear Physics B, 370 (3). pp. 741-761. ISSN 0550-3213
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Official URL: http://www.sciencedirect.com/science/article/pii/0...
Related URL: http://dx.doi.org/10.1016/0550-3213(92)90429-F
Abstract
We study the dynamical critical behaviour of the Hybrid Monte Carlo algorithm for the two-dimensional XY model. We observe that randomising trajectory lengths decreases computational effort dramatically in the spin-wave phase, but increases it in the vortex phase. We also find that the dynamical critical exponent is close to 2 in the Langevin limit. When sufficiently long trajectories are used, this exponent drops to 1 in the vortex phase, and to zero in the spin-wave phase. The computational effort in molecular dynamics units, on the other hand, scales with an exponent 1. We present an argument for the generality of this observation.
Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |
ID Code: | 66137 |
Deposited On: | 21 Oct 2011 09:08 |
Last Modified: | 21 Oct 2011 09:08 |
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