Cube cluster approximation for the spin glass in the simple cubic lattice

1982 ◽  
Vol 25 (2) ◽  
pp. 119-123 ◽  
Author(s):  
Sumiyoshi Fujiki ◽  
Yoshihiko Abe ◽  
Shigetoshi Katsura
Keyword(s):  
Spin Glass ◽  
Cluster Approximation ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice

SUPERLINEAR SPEEDUP FOR PARALLEL IMPLEMENTATION OF BIOLOGICALLY MOTIVATED SPIN GLASS OPTIMIZATION ALGORITHM

1995 ◽  
Vol 06 (02) ◽  
pp. 307-315 ◽  
Author(s):  
UWE GROPENGIESSER
Keyword(s):  
Spin Glass ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Parallel Implementation ◽  
Search Algorithm ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Superlinear Speedup

Using a simple master-slave parallelization scheme given by A. Berengoltz and J. Adler, we observe superlinear speedups during the search algorithm for the ground state energy of the ±J spin glass via biologically motivated methods. With this parallel implementation we are able to improve earlier sequentially-calculated estimates for the infinite lattice ground state energy of the square and simple cubic lattice to −1.401±0.001 and −1.787±0.003, respectively.

scholarly journals Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice

2014 ◽  
Vol 31 (7) ◽  
pp. 070503 ◽  
Author(s):  
Shun Wang ◽  
Zhi-Yuan Xie ◽  
Jing Chen ◽  
Bruce Normand ◽  
Tao Xiang
Keyword(s):  
Phase Transitions ◽  
Potts Models ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice

Finite-size scaling of the three-state Potts model on a simple cubic lattice

1990 ◽  
Vol 59 (5-6) ◽  
pp. 1397-1429 ◽  
Author(s):  
M. Fukugita ◽  
H. Mino ◽  
M. Okawa ◽  
A. Ukawa
Keyword(s):  
Potts Model ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Cubic Lattice ◽  
Size Scaling ◽  
Simple Cubic ◽  
Simple Cubic Lattice

Numerical Simulation of Hopping Conductivity in Granular Metals

1990 ◽  
Vol 195 ◽  
Author(s):  
L. F. Chen ◽  
Ping Sheng ◽  
B. Abeles ◽  
M. Y. Zhou
Keyword(s):  
Cubic Lattice ◽  
Grain Sizes ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Straight Line ◽  
Disorder Potential ◽  
Effect Of Disorder ◽  
Log Normal ◽  
Hopping Conductance ◽  
Log Normal Distribution

ABSTRACTElectrical conduction in granular metals is simulated by mapping the hopping conductance between pairs of metal grains onto a simple cubic lattice with bonds between neighbors. By considering a log-normal distribution of grain sizes and the effect of disorder potential, the numerically calculated network conductance exhibit clear deviation from simple activation. Plotting -log a vs. T-½, where σ denotes conductivity and T the temperature, gives good straight line behavior with slopes comparable to those measured experimentally. Our results are noted to differ from those of Adkins et al.

Bounds for minimum step number of knots confined to tubes in the simple cubic lattice

2017 ◽  
Vol 50 (21) ◽  
pp. 215601 ◽  
Author(s):  
Kai Ishihara ◽  
Maxime Pouokam ◽  
Atsumi Suzuki ◽  
Robert Scharein ◽  
Mariel Vazquez ◽  
...  
Keyword(s):  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Step Number
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