Exact Composite Shift Operator Matrices for Two Dimensional Ising Lattices : Condensed Matter and Statistical Physics
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概要
- 論文の詳細を見る
Exact, composite, shift operator matrices (SOM's) are constructed for planar M×N Ising lattices. It is shown that in the limit as N→∞, the primary eigenvalue of the SOM determines the grand canonical partition function for systems of indistinguishable, simple, nearest-neighbor, interacting particles distributed on such lattices. By a suitable modification, the SOM for an M×N planar lattice (having two free edges) can be transformed into an SOM for a cylindrical lattice ( having no free edges) of the same size. In addition, the matrix elements and structure of the SOM for a planar lattice can be altered to reflect the position (relative to the lattice edges) of particles and of the various kinds of nearest neighbor pairs. Utilizing SOM's modified in this manner, the coverage of the lattice and the density of nearest neighbor pairs can be determined as a function of position on the lattice and of the particle/particle interaction potential for both open and closed systems.
- 理論物理学刊行会の論文
- 1989-01-25
著者
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L Hock
Department Of Electric Computer And Biomedical Engineering Marquette University
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B McQuistan
Department of Physics and Laboratory for Surface Studies University of Wisconsin-Milwaukee
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L Hock
Department of Electric, Computer, and Biomedical Engineering Marquette University
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McQuistan R.B.
Department of Physics and Laboratory for Surface Studies University of Wisconsin-Milwaukee
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Hock J.L.
Department of Electric, Computer, and Biomedical Engineering Marquette University