Journal ArticleDOI
Properties of liquid and solid He 4
TLDR
In this article, a Monte Carlo method is used to compute the properties of the fluid and crystal phases of the Lennard-Jones model at absolute zero, subject only to statistical sampling errors.Abstract:
A Monte Carlo method is used to compute the properties of the fluid and crystal phases of the Lennard-Jones model of $^{4}\mathrm{He}$ at absolute zero. The method yields exact results subject only to statistical sampling errors. The energy, structure factor, and momentum distribution are calculated at several densitites in both phases. In addition, in the crystal phase we have carried out a detailed study of the single-particle distribution function. The densities at which melting and freezing occurs are determined. In both phases perturbative estimates of the three-body Axilrod-Teller potential are computed. Overall the agreement with experiment is good to excellent. However there are significant discrepancies between the computed and experimental equations of state. We believe this is due to the inadequacy of the Lennard-Jones potential.read more
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Journal ArticleDOI
Quantum monte carlo.
David M. Ceperley,Berni J. Alder +1 more
TL;DR: An outline of a random walk computational method for solving the Schr�dinger equation for many interacting particles is given, together with a survey of results achieved so far and of applications that remain to be explored.
Journal ArticleDOI
Applications of quantum Monte Carlo methods in condensed systems
TL;DR: In this paper, the fixed-node/fixed-phase diffusion Monte Carlo (FPMC) method is applied to the electronic structure of solids and other extended many-particle systems.
Journal ArticleDOI
Critical Fluctuation-Induced Thinning of 4 He Films near the Superfluid Transition
R. Garcia,M. H. W. Chan +1 more
TL;DR: In this article, the authors report dielectric constant measurements showing critical fluctuation-induced thinning of 4He films near the superfluid transition and calibrate the measurements by assuming that the film thickness away from the transition region at different heights is accurately given by theory.
Journal ArticleDOI
Applications of quantum Monte Carlo methods in condensed systems
TL;DR: In this paper, a review of the fixed-node/fixed-phase diffusion Monte Carlo method with emphasis on its applications to electronic structure of solids and other extended many-particle systems is presented.
Journal ArticleDOI
Structure and dynamics of quantum clusters
TL;DR: In this article, the authors summarize recent theoretical and experimental studies of helium and molecular hydrogen clusters, focusing primarily on techniques developed to address the quantum nature of these systems, as well as indicators of superfluid behaviour.