Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-03-03
J. Statist. Phys. 102 (2001) 795-841.
Physics
Condensed Matter
Statistical Mechanics
49 pages, Contribution to conference proceedings: The Baxter revolution in mathematical physics, Canberra, Australia, 13-19 Fe
Scientific paper
We have made substantial advances in elucidating the properties of the susceptibility of the square lattice Ising model. We discuss its analyticity properties, certain closed form expressions for subsets of the coefficients, and give an algorithm of complexity O(N^6) to determine its first N coefficients. As a result, we have generated and analyzed series with more than 300 terms in both the high- and low-temperature regime. We quantify the effect of irrelevant variables to the scaling-amplitude functions. In particular, we find and quantify the breakdown of simple scaling, in the absence of irrelevant scaling fields, arising first at order |T-T_c|^{9/4}, though high-low temperature symmetry is still preserved. At terms of order |T-T_c|^{17/4} and beyond, this symmetry is no longer present. The short-distance terms are shown to have the form (T-T_c)^p(log|T-T_c|)^q with p \ge q^2. Conjectured exact expressions for some correlation functions and series coefficients in terms of elliptic theta functions also foreshadow future developments.
Guttmann Anthony J.
Nickel Bert
Orrick William P.
Perk Jacques H. H.
No associations
LandOfFree
The susceptibility of the square lattice Ising model: New developments does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The susceptibility of the square lattice Ising model: New developments, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The susceptibility of the square lattice Ising model: New developments will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-336087