Ising model

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1: 32.16 Physical Applications

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Other Applications

►For the Ising model see Barouch et al. (1973), Wu et al. (1976), and McCoy et al. (1977). …

2: 26.20 Physical Applications

… ►The latter reference also describes chemical applications of other combinatorial techniques. ►Applications of combinatorics, especially integer and plane partitions, to counting lattice structures and other problems of statistical mechanics, of which the Ising model is the principal example, can be found in Montroll (1964), Godsil et al. (1995), Baxter (1982), and Korepin et al. (1993). …

3: 16.24 Physical Applications

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§16.24(i) Random Walks

… ►They are also potentially useful for the solution of more complicated restricted lattice walk problems, and the 3D Ising model; see Barber and Ninham (1970, pp. 147–148). …

4: Qiming Wang

… ►She has applied VRML and X3D techniques to several different fields including interactive mathematical function visualization, 3D human body modeling, and manufacturing-related modeling. ►She is a developer of 2D and 3D graphics for the DLMF project.

5: Viewing DLMF Interactive 3D Graphics

… ►” VRML (Virtual Reality Modeling Language) is a standard file format for viewing 3D graphics on the web and X3D is its successor. …

6: Bibliography W

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Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region. Phys. Rev. B 13, pp. 316–374.

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§32.16, §32.16.

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7: Bibliography B

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Zero-field susceptibility of the two-dimensional Ising model near $T_c$ . Phys. Rev. Lett. 31, pp. 1409–1411.

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External Links:

Document

Referenced by:

§32.16.

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8: 18.38 Mathematical Applications

… ►While the Toda equation is an important model of nonlinear systems, the special functions of mathematical physics are usually regarded as solutions to linear equations. …

9: Bibliography

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SPHEREPACK 2.0: A Model Development Facility. NCAR Technical Note Technical Report TN-436-STR, National Center for Atmospheric Research.

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Notes:

SPHEREPACK 2.0 is a collection of Fortran programs that facilitates computer modeling of geophysical processes. Accurate solutions are obtained via the spectral method that uses both scalar and vector spherical harmonic transforms. The package also contains utility programs for computing the associated Legendre functions. SPHEREPACK 3.1 was released in August 2003.

External Links:

FullText, SPHEREPACK 3.1

Referenced by:

1st item.

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10: Robb J. Muirhead

… ► 1946 in Adelaide, South Australia) is Senior Director, Statistical Research and Consulting Center, Pfizer Global R&D, New London, Connecticut. … ►Muirhead’s main research interests are multivariate statistical analysis, statistical modeling, Bayesian statistics, and pharmaceutical statistics. … ►He is also an elected Fellow of the Institute for Mathematical Statistics, and an elected Member of the International Statistical Institute. …