IMPROVED LOWER-BOUND ON THE THERMODYNAMIC PRESSURE OF THE SPIN 1 2 HEISENBERG-FERROMAGNET/

Authors
TOTH B
Citation
B. Toth, IMPROVED LOWER-BOUND ON THE THERMODYNAMIC PRESSURE OF THE SPIN 1 2 HEISENBERG-FERROMAGNET/, letters in mathematical physics, 28(1), 1993, pp. 75-84
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
28
Issue
1
Year of publication
1993
Pages
75 - 84
Database
ISI
SICI code
0377-9017(1993)28:1<75:ILOTTP>2.0.ZU;2-F
Abstract
We introduce a new stochastic representation of the partition function of the spin 1/2 Heisenberg ferromagnet. We express some of the releva nt thermodynamic quantities in terms of expectations of functionals of so-called random stirrings on Z(d). By use of this representation, we improve the lower bound on the pressure given by Conlon and Solovej i n Lett. Math. Phys. 23, 223-231 (1991).