This volume contains the proceedings of the conference on 'Exactly Soluble Models in Statistical Mechanics: Historical Perspectives and Current Status', held at Northeastern University in March 1996 the first ever conference to deal exclusively with this topic. Besides invited presentations by leading researchers in the field, the conference held a session of contributed papers by participants from throughout the world. The proceedings, which include both the invited and the contributed papers, reflect the broad range of interest in exactly soluble models as well as the diverse fields in physics and mathematics that they connect. Apart from providing concise and timely reviews, the papers in this volume give a snapshot of the current state of affairs. The topics covered range from a historical survey of the field (by E H Lieb) to the latest formulation of a star-star transformation of spin models (by R J Baxter).
Some of the early history of exactly soluble models, E.H. Lieb; the many
faces of the chiral Potts model, H. Au-Yang and J.H.H. Perk; star-triangle
and star-star relations in statistical mechanics, R.J. Baxter; knot theory
and statistical mechanics, L.H. Kauffman; star-star relation for the Potts
model, C. King and F.Y. Wu; finite temperature correlations of the Ising
chain in a transverse field, S. Sachdev; exact solutions of low-dimensional
reaction-diffusion systems, A.M.R. Cadilhe et al; the infinite-state Potts
model and solid partitions of an integer, H.Y. Huang and F.Y. Wu; exact
evaluation of thermodynamic quantities for the integrable T-J chain, A.
Klumper; multilayer extension of two-dimensional solvable statistical models
to three dimensions, V. Popkov; a higher-level Bailey lemma, A. Schilling and
S.O. Warnaar; the Heisenberg chain as a dynamical model for protein synthesis
- some theoretical and experimental results, G.M. Schutz; free fermion
conditions and the symmetries of integrability, C.-M. Viallet. (Part
contents).
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