J Talbot et al 2003 J. Phys. A: Math. Gen. 36 9009 doi:10.1088/0305-4470/36/34/305
J Talbot1, G Tarjus2 and P Viot2
Show affiliationsWe obtain exact results for the acceptance ratio and mean squared displacement in Monte Carlo simulations of the simple harmonic oscillator in D dimensions. When the trial displacement is made uniformly in the radius, we demonstrate that the results are independent of the dimensionality of the space. We also study the dynamics of the process via a spectral analysis and obtain an accurate description for the relaxation time.
82C80 Numerical methods (Monte Carlo, series resummation, etc.)
Issue 34 (29 August 2003)
Received 7 February 2003, in final form 9 July 2003
Published 12 August 2003
J Talbot et al 2003 J. Phys. A: Math. Gen. 36 9009
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