Monte Carlo experiment for the two-dimensional site percolation network

1978 ◽  
Vol 11 (18) ◽  
pp. L763-L765 ◽  
Author(s):  
Y Yuge ◽  
K Onizuka
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Experiment ◽  
Two Dimensional ◽  
Site Percolation ◽  
Percolation Network

Estimates of critical percolation probabilities for a set of two-dimensional lattices

1972 ◽  
Vol 71 (1) ◽  
pp. 97-106 ◽  
Author(s):  
D. G. Neal
Keyword(s):  
Monte Carlo ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Critical Percolation ◽  
Site Percolation

AbstractThis paper describes new detailed Monte Carlo investigations into bond and site percolation problems on the set of eleven regular and semi-regular (Archimedean) lattices in two dimensions.

Universal Ratio χ in Two-Dimensional Square Random-Site Percolation

1998 ◽  
Vol 09 (01) ◽  
pp. 147-155 ◽  
Author(s):  
Krzysztof Malarz ◽  
Ana Maria Vidales
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Small Distance ◽  
Square Lattice ◽  
Two Dimensional ◽  
Site Percolation ◽  
Random Site ◽  
Percolation Phenomena ◽  
Simulation Results ◽  
Universal Ratio

The percolation phenomena on two-dimensional square lattice is considered. The quotient χ of connectivity length ξ> above percolation threshold pc and ξ< below pc at the same small distance Δp is discussed. The results of two different algorithms and programs and agreement with theoretical/mathematical predications is presented, in contrast to previous contradictory Monte Carlo simulation results.

Structures and crystallization of vacuum-deposited amorphous Se and Sb films

1990 ◽  
Vol 48 (4) ◽  
pp. 140-141
Author(s):  
Makoto Shiojiri ◽  
Toshiyuki Isshiki ◽  
Tetsuya Fudaba ◽  
Yoshihiro Hirota
Keyword(s):  
Monte Carlo ◽  
Electron Microscope ◽  
Monte Carlo Method ◽  
Computer Program ◽  
Radial Distribution ◽  
Film Formation ◽  
Amorphous State ◽  
Two Dimensional ◽  
Amorphous Films ◽  
Binding Condition

In hexagonal Se crystal each atom is covalently bound to two others to form an endless spiral chain, and in Sb crystal each atom to three others to form an extended puckered sheet. Such chains and sheets may be regarded as one- and two- dimensional molecules, respectively. In this paper we investigate the structures in amorphous state of these elements and the crystallization.HRTEM and ED images of vacuum-deposited amorphous Se and Sb films were taken with a JEM-200CX electron microscope (Cs=1.2 mm). The structure models of amorphous films were constructed on a computer by Monte Carlo method. Generated atoms were subsequently deposited on a space of 2 nm×2 nm as they fulfiled the binding condition, to form a film 5 nm thick (Fig. 1a-1c). An improvement on a previous computer program has been made as to realize the actual film formation. Radial distribution fuction (RDF) curves, ED intensities and HRTEM images for the constructed structure models were calculated, and compared with the observed ones.

scholarly journals Interface Roughening in Two Dimensions

2021 ◽  
Vol 182 (3) ◽  
Author(s):  
Gernot Münster ◽  
Manuel Cañizares Guerrero
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Capillary Wave ◽  
System Size ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Wave Approximation ◽  
Statistical Field ◽  
Statistical Field Theory ◽  
Interface Roughening

AbstractRoughening of interfaces implies the divergence of the interface width w with the system size L. For two-dimensional systems the divergence of $$w^2$$ w 2 is linear in L. In the framework of a detailed capillary wave approximation and of statistical field theory we derive an expression for the asymptotic behaviour of $$w^2$$ w 2 , which differs from results in the literature. It is confirmed by Monte Carlo simulations.

Monte Carlo study of two-dimensional electron gas transport in Si-MOS devices

1985 ◽  
Vol 28 (8) ◽  
pp. 733-740 ◽  
Author(s):  
Chu-Hao ◽  
J. Zimmermann ◽  
M. Charef ◽  
R. Fauquembergue ◽  
E. Constant
Keyword(s):  
Monte Carlo ◽  
Gas Transport ◽  
Electron Gas ◽  
Monte Carlo Study ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
Mos Devices ◽  
Dimensional Electron Gas
Sign in / Sign up

Export Citation Format

Share Document