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Lattice vibrations of the face-centered square and edge-centered square lattices
International Journal of Modern Physics B, 2023The lattice dynamics of face-centered square and edge-centered square lattice structures is classically examined using the harmonic approximation between atoms. The dynamical matrices and dispersion relations for the two lattice structures are derived. The eigenfrequencies are presented numerically.
O. Al-Banawi, M. Q. Owaidat, N. Chair
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Square lattice with attractive interactions
Physical Review E, 1996We analyze the square lattice, which is allowed to fold on itself along its bonds in a two-dimensional embedding space, with bending energy (u) and attractive (\ensuremath{\omega}0) or repulsive (\ensuremath{\omega}g0) interactions. We discuss two types of interaction, the first one is proportional to the contact area and the second one is proportional
, Mori, , Kajinaga
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Journal of Statistical Physics, 1980
We have studied the hard-square lattice gas, using corner transfer matrices. In particular, we have obtained the first 24 terms of the high-density series for the order parameterρ 2−ρ 1. From these we estimate the critical activity to be 3.7962±0.0001. This is in excellent agreement with the earlier work of Gaunt and Fisher. It conflicts with the value
R. J. Baxter, I. G. Enting, S. K. Tsang
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We have studied the hard-square lattice gas, using corner transfer matrices. In particular, we have obtained the first 24 terms of the high-density series for the order parameterρ 2−ρ 1. From these we estimate the critical activity to be 3.7962±0.0001. This is in excellent agreement with the earlier work of Gaunt and Fisher. It conflicts with the value
R. J. Baxter, I. G. Enting, S. K. Tsang
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The Journal of Chemical Physics, 1994
It is shown that the fluid branch of the hard square lattice gas terminates at a finite activity zf. Estimates of zf indicate that it is identical to the termination activity of the solid branch zs, found by Baxter, Enting, and Tsang [J. Stat. Phys. 22, 465 (1980)] to be at zs=3.7962(1), resulting in a second order phase transition with zf=zs=zc.
Asher Baram, Marshall Fixman
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It is shown that the fluid branch of the hard square lattice gas terminates at a finite activity zf. Estimates of zf indicate that it is identical to the termination activity of the solid branch zs, found by Baxter, Enting, and Tsang [J. Stat. Phys. 22, 465 (1980)] to be at zs=3.7962(1), resulting in a second order phase transition with zf=zs=zc.
Asher Baram, Marshall Fixman
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Generalized Lattice Square Designs
Journal of the American Statistical Association, 1966Abstract In connection with extending the analysis of variance to r replicates of a lattice square design for use in high speed computer programming, a relatively simple computational and analytical procedure has been set forth. The sums of squares, the expectation of the resulting mean squares in the analysis of variance, estimators for intrablock ...
W. T. Federer, B. L. Raktoe
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Lattice square approach to construction of mutually orthogonalF-squares
Annals of the Institute of Statistical Mathematics, 1985zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raktoe, B. L., Federer, W. T.
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Random Structures & Algorithms, 2006
AbstractWe show that the operations of permuting columns and rows separately and independently mix a square matrix in constant time. © 2006 Wiley Periodicals, Inc. Random Struct.
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AbstractWe show that the operations of permuting columns and rows separately and independently mix a square matrix in constant time. © 2006 Wiley Periodicals, Inc. Random Struct.
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The unbiased least-squares lattice
ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005A modification to both the unnormalized and normalized least-squares lattice algorithms is presented which produces unbiased estimates of the lattice parameters without a significant increase in algorithm complexity. Unbiased parameter estimation is very useful for improving the numerical precision of the least-squares lattice algorithm because the ...
D. Swanson, F. Symons
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Hard-Sphere Lattice Gases. I. Plane-Square Lattice
The Journal of Chemical Physics, 1965A plane-square lattice gas of hard ``squares'' which exclude the occupation of nearest-neighbor sites is studied by deriving 13 terms of the activity and the virial series and nine terms of appropriate high-density expansions. Using the ratio and Padé approximant extrapolation techniques it is found that the gas undergoes a continuous (or ``second ...
David S. Gaunt, Michael E. Fisher
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