In statistical mechanics, the eight-vertex model is a generalization of the ice-type (six-vertex) models. It was discussed by T. Bill Sutherland and C...

A vertex model is a type of statistical mechanics model in which the Boltzmann weights are associated with a vertex in the model (representing an atom...

the ice-type models or six-vertex models are a family of vertex models for crystal lattices with hydrogen bonds. The first such model was introduced...

career he solved the six vertex model and developed an exact solution in 1967, which he then followed with the eight vertex model in 1970. He completed his...

solved models, in particular vertex models such as the six-vertex model and eight-vertex model, and the chiral Potts model and hard hexagon model. A recurring...

six-vertex model, after identifying γ = 2 η {\displaystyle \gamma =2\eta } , where η {\displaystyle \eta } is the anisotropy parameter of the six-vertex model...

statistical lattice models 8-vertex model Gaudin model Ising model in 1- and 2-dimensions Ice-type model of Lieb Quantum Heisenberg model Hitchin system Pentagram...

quantum sine-Gordon equation should be modified so the exponentials become vertex operators L Q s G = 1 2 ∂ μ φ ∂ μ φ + 1 2 m 0 2 φ 2 − α ( V β + V − β )...

generalization of the Potts model, and as with the Potts model, the model is defined by configurations which are assignments of spins to each vertex of a graph, where...

In nuclear physics, the chiral model, introduced by Feza Gürsey in 1960, is a phenomenological model describing effective interactions of mesons in the...

is a partial differential equation (PDE) which serves as a mathematical model of waves on shallow water surfaces. It is particularly notable as the prototypical...

spectral curves. (The Garnier system is the classical limit of the Gaudin model. In turn, the Schlesinger equations are the classical limit of the Knizhnik–Zamolodchikov...

lattice models such as the six-vertex model of Lieb and the Heisenberg spin chain and integrable field theories such as principal chiral models, symmetric...

model in 1944. The hunt for solvable lattice models has been actively pursued since then, culminating in Rodney Baxter's solution of the eight vertex...

model in one- and two-dimensions Square ice model Eight-vertex model Hard hexagon model Chiral Potts model Exactly solvable quantum spin chains Contributors...

structure of quantum Gaudin models. In particular, Feigin, Frenkel and Reshetikhin studied them using the theory of vertex operator algebras, showing the...

Lieb–Liniger model Six-vertex model and Eight-vertex model (through Heisenberg spin chain) 1928: Werner Heisenberg publishes his model. 1930: Felix Bloch proposes...

charge, two gluons can also interact. A typical interaction vertex (called the three gluon vertex) for gluons involves g + g → g. This is shown here, along...

model in one- and two-dimensions Square ice model Eight-vertex model Hard hexagon model Chiral Potts model Exactly solvable quantum spin chains Contributors...

congruent and all edges congruent), and the same number of faces meet at each vertex. There are only five such polyhedra: Geometers have studied the Platonic...

not have a property but for which every one-vertex deletion does. cube cubic 1.  Cube graph, the eight-vertex graph of the vertices and edges of a cube...

Kadanoff, L. P.; Wegner, F. J. (1971). "Some Critical Properties of the Eight-Vertex Model". Phys. Rev. B. 4 (11): 3989–93. Bibcode:1971PhRvB...4.3989K. doi:10...

integrable models were obtained in 1989.[citation needed] Essential progress was achieved in study of ice-type models: the bulk free energy of the six vertex model...

exactly eight divisors. 8 is the base of the octal number system. A polygon with eight sides is an octagon. A regular octagon can fill a plane-vertex with...

The Standard Model of particle physics is the theory describing three of the four known fundamental forces (electromagnetic, weak and strong interactions...

octahedron is a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. Regular octahedra occur in nature as crystal...

Manufacturing process: 90 nm Core Clock: 425 MHz Vertex Processors: 1 Pixel Pipelines: 2 Shader Model: 3 DirectX support: v9.0c Video playback acceleration:...

right amount, rotating each face so that each triangle vertex continues to touch a pentagon vertex, without changing the size of the faces, and patching...

there exist 10-vertex asymmetric graphs that are 4-regular and 5-regular. One of the five smallest asymmetric cubic graphs is the twelve-vertex Frucht graph...

congruent and the same number of faces meet at each vertex. Every three square faces surrounding a vertex is orthogonal each other, so the cube is classified...