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31 relations: Alternating sign matrix, Antiferroelectricity, Boltzmann constant, Bravais lattice, Combinatorics, Communications in Mathematical Physics, Coordination number, Eight-vertex model, Elliott H. Lieb, Eulerian path, Ferroelectricity, Graph theory, Ice Ih, Integrable system, Journal of Chemical Physics, Journal of Mathematical Physics, Journal of Physics A, Journal of the American Chemical Society, Lieb's square ice constant, Linus Pauling, Orientation (graph theory), Partition function (statistical mechanics), Phase Transitions and Critical Phenomena, Physical Review, Physical Review Letters, Residual entropy, Society for Industrial and Applied Mathematics, Statistical mechanics, Thermodynamic limit, Vertex model, William Giauque.
Alternating sign matrix
In mathematics, an alternating sign matrix is a square matrix of 0s, 1s, and −1s such that the sum of each row and column is 1 and the nonzero entries in each row and column alternate in sign.
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Antiferroelectricity
Antiferroelectricity is a physical property of certain materials.
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Boltzmann constant
The Boltzmann constant, which is named after Ludwig Boltzmann, is a physical constant relating the average kinetic energy of particles in a gas with the temperature of the gas.
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Bravais lattice
In geometry and crystallography, a Bravais lattice, named after, is an infinite array of discrete points in three dimensional space generated by a set of discrete translation operations described by: where ni are any integers and ai are known as the primitive vectors which lie in different directions and span the lattice.
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Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.
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Communications in Mathematical Physics
Communications in Mathematical Physics is a peer-reviewed academic journal published by Springer.
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Coordination number
In chemistry, crystallography, and materials science the coordination number, also called ligancy, of a central atom in a molecule or crystal is the number of atoms, molecules or ions bonded to it.
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Eight-vertex model
In statistical mechanics, the eight-vertex model is a generalisation of the ice-type (six-vertex) models; it was discussed by Sutherland, and Fan & Wu, and solved by Baxter in the zero-field case.
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Elliott H. Lieb
Elliott Hershel Lieb (born July 31, 1932) is an American mathematical physicist and professor of mathematics and physics at Princeton University who specializes in statistical mechanics, condensed matter theory, and functional analysis.
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Eulerian path
In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph which visits every edge exactly once.
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Ferroelectricity
Ferroelectricity is a characteristic of certain materials that have a spontaneous electric polarization that can be reversed by the application of an external electric field.
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Graph theory
In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.
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Ice Ih
Photograph showing details of an ice cube under magnification. Ice Ih is the form of ice commonly seen on Earth. Phase space of ice Ih with respect to other ice phases. Ice Ih (pronounced: ice one h, also known as ice-phase-one) is the hexagonal crystal form of ordinary ice, or frozen water.
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Integrable system
In the context of differential equations to integrate an equation means to solve it from initial conditions.
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Journal of Chemical Physics
The Journal of Chemical Physics is a scientific journal published by the American Institute of Physics that carries research papers on chemical physics.
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Journal of Mathematical Physics
The Journal of Mathematical Physics is a peer-reviewed journal published monthly by the American Institute of Physics devoted to the publication of papers in mathematical physics.
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Journal of Physics A
The Journal of Physics A: Mathematical and Theoretical is a peer-reviewed scientific journal published by IOP Publishing.
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Journal of the American Chemical Society
The Journal of the American Chemical Society (also known as JACS) is a weekly peer-reviewed scientific journal that was established in 1879 by the American Chemical Society.
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Lieb's square ice constant
Lieb's square ice constant is a mathematical constant used in the field of combinatorics to quantify the number of Eulerian orientations of grid graphs.
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Linus Pauling
Linus Carl Pauling (February 28, 1901 – August 19, 1994) was an American chemist, biochemist, peace activist, author, educator, and husband of American human rights activist Ava Helen Pauling.
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Orientation (graph theory)
In graph theory, an orientation of an undirected graph is an assignment of a direction to each edge, turning the initial graph into a directed graph.
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Partition function (statistical mechanics)
In physics, a partition function describes the statistical properties of a system in thermodynamic equilibrium.
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Phase Transitions and Critical Phenomena
Phase Transitions and Critical Phenomena is a 20-volume series of books, comprising review articles on phase transitions and critical phenomena, published during 1972-2001.
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Physical Review
Physical Review is an American peer-reviewed scientific journal established in 1893 by Edward Nichols.
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Physical Review Letters
Physical Review Letters (PRL), established in 1958, is a peer-reviewed, scientific journal that is published 52 times per year by the American Physical Society.
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Residual entropy
Residual entropy is the difference in entropy between a non-equilibrium state and crystal state of a substance close to absolute zero.
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Society for Industrial and Applied Mathematics
The Society for Industrial and Applied Mathematics (SIAM) is an academic association dedicated to the use of mathematics in industry.
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Statistical mechanics
Statistical mechanics is one of the pillars of modern physics.
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Thermodynamic limit
The thermodynamic limit, or macroscopic limit, of a system in statistical mechanics is the limit for a large number N of particles (e.g., atoms or molecules) where the volume is taken to grow in proportion with the number of particles.
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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 or particle).
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William Giauque
William Francis Giauque (May 12, 1895 – March 28, 1982) was an American chemist and Nobel laureate recognized in 1949 for his studies in the properties of matter at temperatures close to absolute zero.
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6 vertex model, 6-vertex model, Ice type model, Six vertex model, Six-vertex model.
References
[1] https://en.wikipedia.org/wiki/Ice-type_model
