Two-dimensional many-body problem I. the low-density hard-disk bose gas

L.W. Bruch

Physica A: Statistical Mechanics and its Applications, 1978, vol. 93, issue 1, 95-113

Abstract: The ground-state energy of a low-density hard-disk bose gas is analysed with a variational calculation. An upper bound, using a Jastrow trial function, and a lower bound are obtained which show the same leading functional dependence and hence the dependence of the lead term in the ground-state energy is firmly established. The upper-bound calculation is extended to provide estimates of succeeding terms. The calculation parallels calculations for the hard-sphere gas, but there is a marked difference in the treatment of the third term. Schick's results for the hard-disk gas are recovered. The upper bound for the leading term is generalized to pair potentials which do not support a two-body bound state and calculations for a two-dimensional Lennard-Jones fluid are discussed.

Date: 1978
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437178902121
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:93:y:1978:i:1:p:95-113

DOI: 10.1016/0378-4371(78)90212-1

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().