By Fa Yueh Wu
This particular quantity presents a finished assessment of precisely solved versions in statistical mechanics through the medical achievements of F Y Wu during this and comparable fields, which span 4 a long time of his profession. The publication is geared up into subject matters starting from lattice versions in condensed topic physics to graph concept in arithmetic, and comprises the writer s pioneering contributions. via insightful commentaries, the writer provides an outline of every of the subjects and an insider s examine how an important advancements emerged. With the inclusion of vital pedagogical evaluation articles through the writer, precisely Solved versions is an imperative studying instrument for graduate scholars, and a necessary reference and resource booklet for researchers in physics and arithmetic in addition to historians of technology. Contents: Dimer records; The Vertex version; Duality and Gauge ameliorations; The Ising version; The Potts version; severe Frontiers; Percolation; Graph idea; Knot Invariants; different subject matters.
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Extra info for Exactly Solved Models: A Journey In Statistical Mechanics: Selected Papers with Commentaries (1963-2008)
Capel in a special issue of Physiea A in honor of Capel' 60th birthday. The Eight-Vertex Model (Honeycomb Lattice) The 8-vertex model on the honeycomb lattice (Wu, 1974a, P12) is of special interest. The model, shown in Fig. 4, includes all 8 possible bond incident configurations. I became interested in this model since my visit to the Australian National University in 1973. In the subspace ad = be and b2 = ac the model is known to be the Ising model in an external magnetic field. While playing with a weak-graph transformation of the partition function (page 22), I noted the possibility of including a free parameter in the transformation.
69, 453-588. Baxter, R. J. (1971), Eight-vertex model in lattice statistics, Phys. Rev. Lett. 26, 832-833. Baxter, R. J. (1982), Exactly Solved Models in Statistical Mechanics (Academic, New York). Baxter R. J. (1986), The Yang-Baxter equation and the Zamolodchikov model, Physica D 18,321-347. Fan, C. and F. Y. Wu (1969), Ising model with second-neighbor interactions. I. Some exact results and an approximate solution, Phys. Rev. 179, 560-570. Fan, C. and F. Y. Wu (1970), pa, General lattice model of phase transitions, Phys.
15,65-66. Brush, G. (1967), History of the Lenz-Ising model, Rev. Mod. Phys. 39,883-. Fisher, M. E. (1965), The nature of critical points, in Lecture Notes in Theoretical Physics, Vol. 7c, W. E. Brittin, ed. (University of Colorado Press, Boulder, 1965), 1-159. Kadanoff, L. P. and F. J. Wegner (1971), Some critical properties of the 8-vertex model, Phys. Rev. B 4, 3989-3993. Lee, T. D. and C. N. II. Lattice gas and Ising model, Phys. Rev. 87, 410-419. Lin, K. Y. and F. Y. Wu (1988), Magnetization of the Ising model on the generalized checkerboard lattice, J.