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pro vyhledávání: '"Mccoy, B."'
We study the factorizations of Ising low-temperature correlations C(M,N) for $\nu=-k$ and M+N odd, $M \le N$, for both the cases $M\neq 0$ where there are two factors, and $M=0$ where there are four factors. We find that the two factors for $ M \neq
Externí odkaz:
http://arxiv.org/abs/2204.10096
Autor:
Malyshava, Liudmila (AUTHOR), McCoy, B. Oak (AUTHOR)
Publikováno v:
Journal of Economic Issues (Taylor & Francis Ltd). Jun2024, Vol. 58 Issue 2, p580-587. 8p.
We present Painlev{\'e} VI sigma form equations for the general Ising low and high temperature two-point correlation functions $ C(M,N)$ with $M \leq N $ in the special case $\nu = -k$ where $\nu = \, \sinh 2E_h/k_BT/\sinh 2E_v/k_BT$. More specifical
Externí odkaz:
http://arxiv.org/abs/2008.06912
Publikováno v:
J Phys A 50 365203 (2017)
We discuss the implications of studies of partition function zeros and equimodular curves for the analytic properties of the Ising model on a square lattice in a magnetic field. In particular we consider the dense set of singularities in the suscepti
Externí odkaz:
http://arxiv.org/abs/1705.02541
Autor:
McCoy, B. M., Maillard, J-M.
We present the reduction of the correlation functions of the Ising model on the anisotropic square lattice to complete elliptic integrals of the first, second and third kind, the extension of Kramers-Wannier duality to anisotropic correlation functio
Externí odkaz:
http://arxiv.org/abs/1606.08796
Publikováno v:
J. Phys A 47 445001 (2014)
In this paper we compare the integrable hard hexagon model with the non-integrable hard squares model by means of partition function roots and transfer matrix eigenvalues. We consider partition functions for toroidal, cylindrical, and free-free bound
Externí odkaz:
http://arxiv.org/abs/1406.5566
Publikováno v:
J. Phys. A: Math. Theo. 46 (2013) 445202 (46pp)
We study the analyticity of the partition function of the hard hexagon model in the complex fugacity plane by computing zeros and transfer matrix eigenvalues for large finite size systems. We find that the partition function per site computed by Baxt
Externí odkaz:
http://arxiv.org/abs/1306.6389
Autor:
McCoy, B. M., Maillard, J-M.
Publikováno v:
Prog. Theor. Phys. 127 (2012), 791-817
Understanding the relationship which integrable (solvable) models, all of which possess very special symmetry properties, have with the generic non-integrable models that are used to describe real experiments, which do not have the symmetry propertie
Externí odkaz:
http://arxiv.org/abs/1203.1456
We give the exact expressions of the partial susceptibilities $\chi^{(3)}_d$ and $\chi^{(4)}_d$ for the diagonal susceptibility of the Ising model in terms of modular forms and Calabi-Yau ODEs, and more specifically, $_3F_2([1/3,2/3,3/2],\, [1,1];\,
Externí odkaz:
http://arxiv.org/abs/1110.1705
We present a general method for analytically factorizing the n-fold form factor integrals $f^{(n)}_{N,N}(t)$ for the correlation functions of the Ising model on the diagonal in terms of the hypergeometric functions $_2F_1([1/2,N+1/2];[N+1];t)$ which
Externí odkaz:
http://arxiv.org/abs/1103.0933