English

Abstract polymer models with general pair interactions

Mathematical Physics 2009-11-13 v2 Combinatorics math.MP

Abstract

A convergence criterion of cluster expansion is presented in the case of an abstract polymer system with general pair interactions (i.e. not necessarily hard core or repulsive). As a concrete example, the low temperature disordered phase of the BEG model with infinite range interactions, decaying polynomially as 1/rd+λ1/r^{d+\lambda} with λ>0\lambda>0, is studied.

Keywords

Cite

@article{arxiv.0707.0016,
  title  = {Abstract polymer models with general pair interactions},
  author = {Aldo Procacci},
  journal= {arXiv preprint arXiv:0707.0016},
  year   = {2009}
}
R2 v1 2026-06-21T08:50:53.962Z