Abstract polymer models with general pair interactions

Details Abstract polymer models with general pair interactions Abstract polymer models with general pair interactions

2007-06-29

arxiv.org/abs/0707.0016v2

Journal of Statistical Physics 129, n.1 171-188 (2007)

Physics

Mathematical Physics

19 pages. Corrected statement for the stability condition (2.3) and modified section 3.1 of the proof of theorem 1 consistentl

Scientific paper

10.1007/s10955-007-9378-x

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 $1/r^{d+\lambda}$ with $\lambda>0$, is studied.

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