Two-dimensional hybrid Monte Carlo–fluid modelling of dc glow discharges: Comparison with fluid models, reliability, and accuracy

2015 ◽  
Vol 22 (1) ◽  
pp. 013509 ◽  
Author(s):  
E. Eylenceoğlu ◽  
I. Rafatov ◽  
A. A. Kudryavtsev
Keyword(s):  
Monte Carlo ◽  
Fluid Models ◽  
Two Dimensional ◽  
Hybrid Monte Carlo ◽  
Glow Discharges

Comparisons of one‐ and two‐dimensional three‐moment fluid models for rf glow discharges

1993 ◽  
Vol 74 (2) ◽  
pp. 839-847 ◽  
Author(s):  
Fongray Frank Young ◽  
Chwan‐Hwa ‘‘John’’ Wu
Keyword(s):  
Fluid Models ◽  
Two Dimensional ◽  
Glow Discharges

scholarly journals Topological sampling through windings

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
David Albandea ◽  
Pilar Hernández ◽  
Alberto Ramos ◽  
Fernando Romero-López
Keyword(s):  
Monte Carlo ◽  
Gauge Theory ◽  
Continuum Limit ◽  
Two Dimensional ◽  
Expectation Values ◽  
Hybrid Monte Carlo ◽  
Pure Gauge Theory ◽  
Fixed Topology ◽  
Autocorrelation Time ◽  
The Continuum

AbstractWe propose a modification of the Hybrid Monte Carlo (HMC) algorithm that overcomes the topological freezing of a two-dimensional U(1) gauge theory with and without fermion content. This algorithm includes reversible jumps between topological sectors – winding steps – combined with standard HMC steps. The full algorithm is referred to as winding HMC (wHMC), and it shows an improved behaviour of the autocorrelation time towards the continuum limit. We find excellent agreement between the wHMC estimates of the plaquette and topological susceptibility and the analytical predictions in the U(1) pure gauge theory, which are known even at finite $$\beta $$ β . We also study the expectation values in fixed topological sectors using both HMC and wHMC, with and without fermions. Even when topology is frozen in HMC – leading to significant deviations in topological as well as non-topological quantities – the two algorithms agree on the fixed-topology averages. Finally, we briefly compare the wHMC algorithm results to those obtained with master-field simulations of size $$L\sim 8 \times 10^3$$ L ∼ 8 × 10 3 .

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.

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