6 papers
Exact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions
Wolfhard Janke, Ralph Kenna
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…
Critical Behaviour of the Two Dimensional Step Model
A. C. Irving, R. Kenna
We use finite--size scaling of Lee--Yang partition function zeroes to study the critical behaviour of the two dimensional step or sgn model. We present evidence that, like t…
Logarithmic Corrections to Scaling in the Two Dimensional --Model
R. Kenna, A. C. Irving
By expressing thermodynamic functions in terms of the edge and density of Lee--Yang zeroes, we relate the scaling behaviour of the specific heat to that of the zero field magnetic…
Logarithmic Corrections to Scaling in the --Model
R. Kenna, A. C. Irving
We study the distribution of partition function zeroes for the --model in two dimensions. In particular we find the scaling behaviour of the end of the distribution of zeroes i…
Lee-Yang Zeroes and Logarithmic Corrections in the Theory
R. Kenna, C. B. Lang
The leading mean-field critical behaviour of -theory is modified by multiplicative logarithmic corrections. We analyse these corrections both analytically and numerically. I…
Renormalization Group Analysis of Finite-Size Scaling in the Model
R. Kenna, C. B. Lang
A finite-size scaling theory for the model is derived using renormalization group methods. Particular attention is paid to the partition function zeroes, in terms of which…