A two-dimensional simulation approach for ranking fuzzy numbers by the Monte Carlo technique

A new Monte Carlo method for percolation problems on a lattice

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s0305004100037026 ◽

1963 ◽

Vol 59 (2) ◽

pp. 397-410 ◽

Cited By ~ 72

Author(s):

P. Dean

Keyword(s):

Monte Carlo ◽

Monte Carlo Method ◽

Cluster Size ◽

Monte Carlo Technique ◽

Two Dimensional ◽

Regular Lattice

AbstractA new and general Monte Carlo technique is described for solving some well-known percolation and cluster-size problems on regular lattice networks. The method has been applied to ten two-dimensional structures.

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On the Validation of the Monte Carlo Technique in Simulation of Grain Growth in Small, Two-Dimensional Systems

Materials Science Forum - Recrystallization and Grain Growth III ◽

10.4028/0-87849-443-x.1087 ◽

2007 ◽

pp. 1087-1092

Author(s):

Ola Hunderi ◽

Knut Marthinsen ◽

Nils Ryum

Keyword(s):

Monte Carlo ◽

Grain Growth ◽

Monte Carlo Technique ◽

Two Dimensional

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Numerical study of the two-dimensional Heisenberg model using a Green function Monte Carlo technique with a fixed number of walkers

Physical Review B ◽

10.1103/physrevb.57.11446 ◽

1998 ◽

Vol 57 (18) ◽

pp. 11446-11456 ◽

Cited By ~ 144

Author(s):

Matteo Calandra Buonaura ◽

Sandro Sorella

Keyword(s):

Monte Carlo ◽

Green Function ◽

Heisenberg Model ◽

Numerical Study ◽

Fixed Number ◽

Monte Carlo Technique ◽

Two Dimensional

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TOPOLOGY COLLAPSE OF NONTRIVIAL U(1)-BUNDLE ON LATTICIZED SPHERE

Modern Physics Letters A ◽

10.1142/s0217732388001781 ◽

1988 ◽

Vol 03 (15) ◽

pp. 1489-1497

Author(s):

HIROSHI KOIBUCHI ◽

MITSURU YAMADA

Keyword(s):

Monte Carlo ◽

Statistical Mechanics ◽

Gauge Field ◽

Low Temperatures ◽

Field Configuration ◽

Chern Number ◽

Monte Carlo Technique ◽

Metastable States ◽

Two Dimensional ◽

Gauge Model

Applying the Monte Carlo technique, we study the statistical mechanics of U(1) gauge model on two dimensional spherical lattice of the Mercator type. Special emphasis is put on the topology of the gauge-field configuration. At sufficiently low temperatures, we demonstrate the existence of many metastable states, each of which has a well-defined Chern number. At higher temperatures, we observe how they lose their topology and collapse.

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A two-dimensional simulation of a capacitively-coupled parallel-plate RF discharge using a hybrid fluid-Monte Carlo method

International Conference on Plasma Sciences (ICOPS) ◽

10.1109/plasma.1993.593423 ◽

1993 ◽

Author(s):

H. Pak ◽

M.E. Riley

Keyword(s):

Monte Carlo ◽

Monte Carlo Method ◽

Parallel Plate ◽

Rf Discharge ◽

Two Dimensional ◽

Capacitively Coupled ◽

Dimensional Simulation ◽

Hybrid Fluid

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A VARIATIONAL STUDY OF FERMI AND LUTTINGER LIQUID WAVEFUNCTIONS IN THE TWO-DIMENSIONAL t-J MODEL

Modern Physics Letters B ◽

10.1142/s0217984996000997 ◽

1996 ◽

Vol 10 (18) ◽

pp. 873-881 ◽

Cited By ~ 4

Author(s):

FRANJO FRANJIĆ ◽

SANDRO SORELLA

Keyword(s):

Monte Carlo ◽

Ground State ◽

Liquid State ◽

Fermi Liquid ◽

Luttinger Liquid ◽

Monte Carlo Technique ◽

Two Dimensional ◽

Variational Monte Carlo ◽

Variational Study

Using a recently developed technique, we determine the Jastrow potential of the variational wavefunction for the two-dimensional t-J model. This wavefunction describes a Fermi liquid ground state and is compared with the Luttinger liquid wavefunction used by Gros and Valentí. Estimates of the energy of these states are calculated using the variational Monte Carlo technique, showing that the Fermi liquid state has a little power energy.

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

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100173832 ◽

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.

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