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    Critical behavior of the two-dimensional Ising susceptibility

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    Author
    Orrick, WP; Nickel, BG; Guttmann, AJ; Perk, JHH
    Date
    2001-04-30
    Source Title
    PHYSICAL REVIEW LETTERS
    Publisher
    AMERICAN PHYSICAL SOC
    University of Melbourne Author/s
    Guttmann, Anthony; ORRICK, WILLIAM PENDLETON
    Affiliation
    Mathematics And Statistics
    Metadata
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    Document Type
    Journal Article
    Citations
    Orrick, W. P., Nickel, B. G., Guttmann, A. J. & Perk, J. H. H. (2001). Critical behavior of the two-dimensional Ising susceptibility. PHYSICAL REVIEW LETTERS, 86 (18), pp.4120-4123. https://doi.org/10.1103/PhysRevLett.86.4120.
    Access Status
    This item is currently not available from this repository
    URI
    http://hdl.handle.net/11343/26133
    DOI
    10.1103/PhysRevLett.86.4120
    Description

    C1 - Journal Articles Refereed

    Abstract
    We report computations of the short- and long-distance (scaling) contributions to the square-lattice Ising susceptibility. Both computations rely on summation of correlation functions, obtained using nonlinear partial difference equations. In terms of a temperature variable tau, linear in T/Tc-1, the short-distance terms have the form tau(p)(ln/tau/)q with p> or =q2. A high- and low-temperature series of N = 323 terms, generated using an algorithm of complexity O(N6), are analyzed to obtain the scaling part, which when divided by the leading /tau/(-7/4) singularity contains only integer powers of tau. Contributions of distinct irrelevant variables are identified and quantified at leading orders /tau/(9/4) and /tau/(17/4).
    Keywords
    Mathematical Logic; Set Theory; Lattices and Combinatorics ; Mathematical Sciences

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