Monte Carlo Simulation of Atom Diffusion via Vacancies in Nanofilms with a Model Simple Cubic Lattice System

2011 ◽  
Vol 11 (3) ◽  
pp. 2376-2383
Author(s):  
Yu-Chih Chieh ◽  
Fu-Hsing Lu
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Lattice System ◽  
Atom Diffusion ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice

scholarly journals MULTI-SPIN CODING OF THE MONTE CARLO SIMULATION OF THE THREE-STATE RANDOM POTTS MODEL AND THE BLOCK-SPIN TRANSFORMATION

1996 ◽  
Vol 06 (06) ◽  
pp. 747-763 ◽  
Author(s):  
MACOTO KIKUCHI ◽  
YUTAKA OKABE
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Potts Model ◽  
Multispin Coding ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Random Mixture ◽  
Block Spin Transformation ◽  
Block Spin

The multi-spin coding of the Monte Carlo simulation of the three-state Potts model on the simple cubic lattice is presented. The ferromagnetic (F) model, the antiferromagnetic (AF) model, and the random mixture of the F and AF couplings are treated. The multispin coding technique is also applied to the block-spin transformation. The block-spin transformation of the F Potts model is simply realized by the majority rule, whereas the AF three-state Potts model is transformed to the block spin having a six-fold symmetry.

scholarly journals 3D ISING NONUNIVERSALITY: A MONTE CARLO STUDY

2005 ◽  
Vol 16 (08) ◽  
pp. 1217-1224 ◽  
Author(s):  
MELANIE SCHULTE ◽  
CAROLINE DROPE
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
External Field ◽  
Nearest Neighbor ◽  
Monte Carlo Study ◽  
Universality Class ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Binder Cumulant

We investigate as a member of the Ising universality class the Next-Nearest Neighbor Ising model without external field on a simple cubic lattice by using the Monte Carlo Metropolis Algorithm. The Binder cumulant and the susceptibility ratio, which should be universal quantities at the critical point, were shown to vary for small negative next-nearest neighbor interactions.

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.

A Monte Carlo method applied to the Heisenberg ferromagnet

1964 ◽  
Vol 60 (1) ◽  
pp. 115-122 ◽  
Author(s):  
D. C. Handscomb
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Order Parameters ◽  
Heisenberg Ferromagnet ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Conventional Methods

AbstractFollowing on from a previous paper (5), we apply the new Monte Carlo method described there to the estimation of order parameters of a simple Heisenberg ferromagnet. By way of illustration, we include some results on the simple cubic lattice, comparing them with results obtained by conventional methods.

Monte Carlo studies of percolation phenomena for a simple cubic lattice

1976 ◽  
Vol 15 (5) ◽  
pp. 345-353 ◽  
Author(s):  
Amit Sur ◽  
Joel L. Lebowitz ◽  
J. Marro ◽  
M. H. Kalos ◽  
S. Kirkpatrick
Keyword(s):  
Monte Carlo ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Monte Carlo Studies ◽  
Percolation Phenomena
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