Quantum Monte Carlo methods in statistical mechanics

International Journal of Modern Physics C

Volumn 10, Issue 8, 1999, Pages 1409-1418

  Melik Alaverdian, Vilen ^a   Nightingale, M P ^a  

^a UNIVERSITY OF RHODE ISLAND   (United States)

Author keywords

Correlation Times; Trial State Optimization; Universal Critical Point Amplitudes; Van der Waals Clusters

Indexed keywords

EID: 0033262548     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183199001182     Document Type: Article

References (16)

1. M. P. Nightingale and C. J. Umrigar, in Advances in Chemical Physics, Vol. 105, Monte Carlo Methods in Chemistry, eds. David M. Ferguson, J. Ilja Siepmann, and Donald G. Truhlar (John Wiley and Sons, New York 1999).
2. M. P. Nightingale and C. J. Umrigar (eds.), Quantum Monte Carlo methods in Physics and Chemistry (Kluwer Academic Publishers, Dordrecht, 1998).
3. M. P. Nightingale and H. W. J. Blöte, Phys. Rev. Lett. 76, 4548 (1996).
4. M. P. Nightingale and H. W. J. Blöte, Phys. Rev. Lett. 80, 1007 (1998). Also see http://xxx.lanl.gov/abs/cond-mat/9708063.
5. D. M. Ceperley and B. Bernu, J. Chem. Phys. 89, 6316 (1988).
6. B. Bernu, D. M. Ceperley, and W. A. Lester, Jr., J. Chem. Phys. 93, 552 (1990).
7. W. R. Brown, W. A. Glauser, and W. A. Lester, Jr., J. Chem. Phys. 103, 9721 (1995).
8. M. Caffarel and P. Claverie, J. Chem. Phys. 88, 1088 (1988); ibid., p. 1100. Also see S. Baroni and S. Moroni in Ref. 2.
9. M. Caffarel and P. Claverie, J. Chem. Phys. 88, 1088 (1988); ibid., p. 1100. Also see S. Baroni and S. Moroni in Ref. 2.
10. C. J. Umrigar, K. G. Wilson, and J. W. Wilkins, Phys. Rev. Lett. 60, 1719 (1988); Computer Simulation Studies in Condensed Matter Physics, eds. D. P. Landau, K. K. Mon, and H.-B. Schüttler (Springer-Verlag, Berlin, 1988), p. 185.
11. C. J. Umrigar, K. G. Wilson, and J. W. Wilkins, Phys. Rev. Lett. 60, 1719 (1988); Computer Simulation Studies in Condensed Matter Physics, eds. D. P. Landau, K. K. Mon, and H.-B. Schüttler (Springer-Verlag, Berlin, 1988), p. 185.
12. This number was obtained by using mass and Lennard-Jones parameters of Ref. 11, as given in Table 1 and the fundamental physical constants of E. R. Cohen and B. N. Taylor, in the supplement to the August 1999 issue of Physics Today, BG5.
13. D. M. Leitner, J. D. Doll, and R. M. Whitnell, J. Chem. Phys. 94, 6644 (1991).
14. A. Mushinski and M. P. Nightingale, J. Chem. Phys. 101, 8831 (1994).
15. M. Meierovich, A. Mushinski, and M. P. Nightingale, J. Chem. Phys. 105, 6498 (1996).
16. Indeed recent, improved computations by Leitner (private communication) produce lower energies than the results quoted in Table 2 of Ref. 11.