2001/12/19 by Wolfhard Janke, W. Janke, Ralph Kenna +1
Mathematics · Physics and Astronomy · #Boundary (topology) #Boundary value problem #Exponent #Function (biology) #Inverse #Ising model #Partition function (quantum field theory) #Random Matrices and Applications #Scaling #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.1016/s0920-5632(01)01889-8
published as Nucl.Phys.Proc.Suppl. 106 (2002) 929-931 · 3 pages, LaTeX, No figures, Lattice2001(spin)
arxiv created 2001/12/19 · openalex publication_date 2002/03/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The two-dimensional Ising model with Brascamp-Kunz boundary conditions has a partition function more amenable to analysis than its counterpart on a torus. This fact is exploited to exactly determine the full finite-size scaling behaviour of the Fisher zeroes of the model. Moreover, exact results are also determined for the scaling of the specific heat at criticality, for the specific-heat peak and for the pseudocritical points. All corrections to scaling are found to be analytic and the shift exponent λ does not coincide with the inverse of the correlation length exponent 1/ν.