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Everything about Ice-type model
Statistical mechanics model for crystal lattices
In statistical mechanics, 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 by Linus Pauling in 1935 to account for the residual entropy of water ice. Variants have been proposed as models of certain ferroelectric and antiferroelectric crystals. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Ice-type modelA 5-minute orientation
- Skim a recent paper: Linear viscoelastic properties of the vertex model for epithelial tissuesInfluential work since 2022
- Pick up a classic book: The birth of string theoryThe most-reprinted book on the subject
- Read the landmark paper: Eight-Vertex Model in Lattice StatisticsCited 544 times
- Go sideways: Eight-vertex modelA closely related topic
- Go sideways: Hofstadter's butterflyA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Eight-Vertex Model in Lattice Statistics
Fusion of the eight vertex SOS model
Stochastic six-vertex model
The asymmetric six-vertex model
Symmetry relations in the sixteen-vertex model
Conformal spectrum of the six-vertex model
Eight-vertex model on the honeycomb lattice
Staggered eight-vertex model
🆕 Influential since 2022
Linear viscoelastic properties of the vertex model for epithelial tissues
Vertex model with internal dissipation enables sustained flows
Anomalous elasticity of a cellular tissue vertex model
Cell Sorting in an Active Nematic Vertex Model
Free fermion six vertex model: symmetric functions and random domino tilings
📚 Books worth reading
The birth of string theoryAndrea Cappelli, Elena Castellani · 2012
How to fold itJoseph O'Rourke · 2011
Facets of Combinatorial OptimizationMichael Jünger · 2013- 📕Structural Aspects of Quantum Field Theory and Noncommutative GeometryGerhard Grensing · 2013
Computer algorithmsEllis Horowitz · 1997
Symmetries, Integrable Systems and RepresentationsKenji Iohara · 2012
Design and Analysis of AlgorithmsGuy Even · 2012
The Official Blender 2.3 guideTon Roosendaal, Stefano Selleri · 2004
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Eight-vertex model 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…
- Hofstadter's butterfly In condensed matter physics, Hofstadter's butterfly is a graph of the spectral properties of non-interacting two-dimensional electrons in a perpendicular…
- Geometrical frustration In condensed matter physics, geometrical frustration (or in short, frustration) is a phenomenon where the combination of conflicting inter-atomic forces…
- Critical dimension In the renormalization group analysis of phase transitions in physics, a critical dimension is the dimensionality of space at which the character of the…
- Ice rules In chemistry, ice rules are basic principles that govern arrangement of atoms in water ice. They are also known as Bernal–Fowler rules, after British physicists…
- Exact diagonalization Exact diagonalization (ED) is a numerical technique used in physics to determine the eigenstates and energy eigenvalues of a quantum Hamiltonian. In this…
- Vertex model 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…
- Abelian sandpile model The Abelian sandpile model (ASM) is the more popular name of the original Bak–Tang–Wiesenfeld model (BTW). The BTW model was the first discovered example…