On the configuration of systems of interacting particles with minimum potential energy per particle

W.J. Ventevogel and B.R.A. Nijboer

Physica A: Statistical Mechanics and its Applications, 1979, vol. 99, issue 3, 569-580

Abstract: Previous work on infinite one-dimensional systems of interacting particles is continued. In the case of two-body potentials φ(x) = φ(-x), whose Fourier transform ĝf(k) eicsts, it is shown that a necessary condition that the equidistant configuration has for a certain range of densities minimum potential energy per particle among all configurations of the same density, is that ĝf(k)⩾0 for all k. An analogous theorem is proved for systems of particles in two and three dimensions.

Date: 1979
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437179900724
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:99:y:1979:i:3:p:569-580

DOI: 10.1016/0378-4371(79)90072-4

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 ().