Energy estimators for random series path-integral methods

Details Energy estimators for random series path-integral methods Energy estimators for random series path-integral methods

2003-05-27

arxiv.org/abs/cond-mat/0305629v2

J. Chem. Phys 119, 10475 (2003)

Physics

Condensed Matter

Statistical Mechanics

15 pages, 1 figure, 3 tables

Scientific paper

10.1063/1.1619372

We perform a thorough analysis on the choice of estimators for random series path integral methods. In particular, we show that both the thermodynamic (T-method) and the direct (H-method) energy estimators have finite variances and are straightforward to implement. It is demonstrated that the agreement between the T-method and the H-method estimators provides an important consistency check on the quality of the path integral simulations. We illustrate the behavior of the various estimators by computing the total, kinetic, and potential energies of a molecular hydrogen cluster using three different path integral techniques. Statistical tests are employed to validate the sampling strategy adopted as well as to measure the performance of the parallel random number generator utilized in the Monte Carlo simulation. Some issues raised by previous simulations of the hydrogen cluster are clarified.

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