منابع مشابه
Folding the Square - Diagonal Lattice
We study the problem of " phantom " folding of the two-dimensional square lattice, in which the edges and diagonals of each face can be folded. The non-vanishing thermodynamic folding entropy per face s ≃ .2299(1) is estimated both analytically and numerically, by successively mapping the model onto a dense loop model, a spin model and a new 28 Vertex, 4-color model. Higher dimensional generali...
متن کاملFolding Transitions of the Square-Diagonal Lattice
We address the problem of ”phantom” folding of the tethered membrane modelled by the two-dimensional square lattice, with bonds on the edges and diagonals of each face. Introducing bending rigidities K1 and K2 for respectively long and short bonds, we derive the complete phase diagram of the model, using transfer matrix calculations. The latter displays two transition curves, one corresponding ...
متن کاملFolding transitions of the square – diagonal two – dimensional lattice ∗
The phase diagram of a vertex model introduced by P. Di Francesco (Nucl. Phys. B 525, 507 1998) representing the configurations of a square lattice which can fold with different bending energies along the main axes and the diagonals has been studied by Cluster Variation Method. A very rich structure with partially and completely folded phases, different disordered phases and a flat phase is fou...
متن کاملIsomonodromic Deformation Theory and the Next-to-diagonal Correlations of the Anisotropic Square Lattice Ising
In 1980 Jimbo and Miwa evaluated the diagonal two-point correlation function of the square lattice Ising model as a τ -function of the sixth Painlevé system by constructing an associated isomonodromic system within their theory of holonomic quantum fields. More recently an alternative isomonodromy theory was constructed based on bi-orthogonal polynomials on the unit circle with regular semi-cla...
متن کاملIsomonodromic Deformation Theory and the Next-to-diagonal Correlations of the Anisotropic Square Lattice Ising Model
In 1980 Jimbo and Miwa evaluated the diagonal two-point correlation function of the square lattice Ising model as a τ -function of the sixth Painlevé system by constructing an associated isomonodromic system within their theory of holonomic quantum fields. More recently an alternative isomonodromy theory was constructed based on bi-orthogonal polynomials on the unit circle with regular semi-cla...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1998
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(98)00320-4