Positivity of the virial coefficients in lattice dimer models and upper bounds on the number of matchings on graphs

P. Butera, P. Federbush and M. Pernici

Physica A: Statistical Mechanics and its Applications, 2015, vol. 437, issue C, 278-294

Abstract: Using a simple relation between the virial expansion coefficients of the pressure and the entropy expansion coefficients in the case of the monomer–dimer model on infinite regular lattices, we have shown that, on hypercubic lattices of any dimension, the virial coefficients are positive through the 20th order. We have observed that all virial coefficients so far known for this system are positive also on infinite regular lattices with different structure. We are thus led to conjecture that the virial expansion coefficients mk are always positive.

Keywords: Dimer problem; Graph entropy; Upper bounds on matchings in regular graphs (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437115005282
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:437:y:2015:i:c:p:278-294

DOI: 10.1016/j.physa.2015.05.106

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 ().