Methods for calculating forces within quantum Monte Carlo simulations

被引:29
|
作者
Badinski, A. [1 ]
Haynes, P. D. [1 ,2 ]
Trail, J. R. [1 ,3 ]
Needs, R. J. [1 ]
机构
[1] Univ Cambridge, Cavendish Lab, Condensed Matter Theory Grp, Cambridge CB3 0HE, England
[2] Univ London Imperial Coll Sci Technol & Med, Dept Phys, London SW7 2AZ, England
[3] Japan Adv Inst Sci & Technol, Sch Informat Sci, Nomi, Ishikawa 9231292, Japan
基金
英国工程与自然科学研究理事会;
关键词
GROUND-STATE; DIPOLE-MOMENT; RANDOM-WALK; ALGORITHMS; PRINCIPLE; CHEMISTRY;
D O I
10.1088/0953-8984/22/7/074202
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
Atomic force calculations within the variational and diffusion quantum Monte Carlo methods are described. The advantages of calculating diffusion quantum Monte Carlo forces with the 'pure' rather than the 'mixed' probability distribution are discussed. An accurate and practical method for calculating forces using the pure distribution is presented and tested for the SiH molecule. The statistics of force estimators are explored and violations of the central limit theorem are found in some cases.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] Metropolis methods for quantum Monte Carlo simulations
    Ceperley, DM
    [J]. MONTE CARLO METHOD IN THE PHYSICAL SCIENCES, 2003, 690 : 85 - 98
  • [2] Quantum Monte Carlo Simulations
    Troyer, Matthias
    Werner, Philipp
    [J]. LECTURES ON THE PHYSICS OF STRONGLY CORRELATED SYSTEMS XIII, 2009, 1162 : 98 - 173
  • [3] Ultracold atoms at unitarity within quantum Monte Carlo methods
    Morris, Andrew J.
    Rios, P. Lopez
    Needs, R. J.
    [J]. PHYSICAL REVIEW A, 2010, 81 (03):
  • [4] Accurate, efficient, and simple forces computed with quantum Monte Carlo methods
    Chiesa, S
    Ceperley, DM
    Zhang, S
    [J]. PHYSICAL REVIEW LETTERS, 2005, 94 (03)
  • [5] Computing forces with quantum Monte Carlo
    Assaraf, R
    Caffarel, M
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2000, 113 (10): : 4028 - 4034
  • [6] Quantum Monte Carlo simulations of solids
    Foulkes, WMC
    Mitas, L
    Needs, RJ
    Rajagopal, G
    [J]. REVIEWS OF MODERN PHYSICS, 2001, 73 (01) : 33 - 83
  • [7] Quantum Monte Carlo methods
    Luechow, Arne
    [J]. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE, 2011, 1 (03) : 388 - 402
  • [8] Quantum Monte Carlo methods
    Kawashima, N
    [J]. PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 2002, (145): : 138 - 149
  • [9] Application of Monte Carlo simulations for calculating the probability of local avalanche
    Burlet, JL
    Boissier, D
    Gourvès, R
    [J]. APPLICATIONS OF STATISTICS AND PROBABILITY IN CIVIL ENGINEERING, VOLS 1 AND 2, 2003, : 1223 - 1230
  • [10] Quantum-Monte-Carlo simulations of polyethylene
    W. Michalke
    S. Kreitmeier
    [J]. The European Physical Journal B - Condensed Matter and Complex Systems, 1998, 4 : 469 - 473