EXACTLY SOLVABLE LATTICE MODEL OF ROOTED BRANCHED POLYMERS

Authors
KORNILOV EI PRIEZZHEV VB
Citation
Ei. Kornilov et Vb. Priezzhev, EXACTLY SOLVABLE LATTICE MODEL OF ROOTED BRANCHED POLYMERS, Theoretical and mathematical physics, 98(1), 1994, pp. 61-71
Citations number
34
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
98
Issue
1
Year of publication
1994
Pages
61 - 71
Database
ISI
SICI code
0040-5779(1994)98:1<61:ESLMOR>2.0.ZU;2-A
Abstract
A lattice model of rooted branched polymers that has an exact solution in all dimensions is considered. Kirchhoff's theorem is used to calcu late the partition function of the model. Universal behavior of the th ermodynamic functions of the model in the close-packing limit is found . A matrix procedure for calculating the correlation functions is deve loped. The mean number of atoms of a polymer with given valence is cal culated for arbitrary densities.