THE ANISOTROPIC CHARACTERS IN TWO-DIMENSIONAL LATTICE

2013 ◽  
Vol 27 (07) ◽  
pp. 1361010
Author(s):  
YANG YANG ◽  
MAI-MAI LIN ◽  
WEN-SHAN DUAN
Keyword(s):  
Dispersion Relation ◽  
Nonlinear Waves ◽  
Particle Displacement ◽  
Transverse Waves ◽  
Compressional Waves ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Special Cases ◽  
Linear And Nonlinear

The anisotropic characters of simple cubic lattice are investigated in this paper. Both the linear and nonlinear wave propagating in this lattice have been studied. The dispersion relation has been studied numerically. It is shown that the dispersion relation strongly depends on the directions of wave propagation. Generally, the direction of waves has the inclination angle α with respect to particle displacement. There are compressional waves α = 0 or transverse waves α = π/2 only for some special cases. The nonlinear waves in this lattice have also been studied. The anisotropic characters of this lattice for the nonlinear waves have also been shown. The compressional and transverse nonlinear solitons have also been studied. The characters of both solitons, such as amplitude and width, have been investigated.

ALGORITHMS FOR MONTE CARLO SIMULATIONS OF THE ISING MODELS ON A SIMPLE CUBIC LATTICE

1993 ◽  
Vol 04 (03) ◽  
pp. 525-537 ◽  
Author(s):  
NAOKI KAWASHIMA ◽  
NOBUYASU ITO ◽  
YASUMASA KANADA
Keyword(s):  
Monte Carlo ◽  
Heat Bath ◽  
Monte Carlo Algorithm ◽  
Cubic Lattice ◽  
Ising Spin ◽  
Metropolis Method ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Special Cases ◽  
Glass Model

The vectorized Monte Carlo algorithm by multi-spin coding is extended to the ±J Ising spin glass model on a simple cubic lattice in a magnetic field. Explicit logical expression is given for this algorithm. In addition, shorter logical expressions are found in some special cases. They are given for the heat-bath method under the general condition and for the Metropolis method under the condition, H = 0.

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

Modeling diffusion on heterogeneous lattices: Simple cubic lattice

2007 ◽  
Vol 76 (13) ◽  
Author(s):  
A. Tarasenko ◽  
L. Jastrabik ◽  
T. Müller
Keyword(s):  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice

Statistics of the simple cubic lattice. II

1951 ◽  
Vol 47 (4) ◽  
pp. 799-810 ◽  
Author(s):  
A. J. Wakefield
Keyword(s):  
Specific Heat ◽  
Curie Point ◽  
Spontaneous Magnetization ◽  
Lattice Structure ◽  
Critical Behaviour ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Energy Excess ◽  
Ferromagnetic Substance

Experimentally it is found for a ferromagnetic substance that the spontaneous magnetization decreases as the temperature increases. At a certain temperature called the Curie point, the magnetization disappears (or substantially disappears) and remains zero for higher temperatures. Associated with these magnetic properties is an anomaly in the specific heat. This quantity is greater than that which would be calculated theoretically for the material were it non-magnetic and becomes large when the temperature approaches the Curie point from below. Just above the Curie point there is a sharp but continuous decrease in the specific heat and the system is said to show critical behaviour. We shall examine the Ising model of the ferromagnet with a simple cubic lattice structure, determine the specific heat anomaly and the corresponding energy excess due to magnetism, and also see how the critical behaviour of the model compares with that actually observed.

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