Boundary conditions for Density Gradient corrections in 3D Monte Carlo simulations

2008 ◽  
Vol 7 (3) ◽  
pp. 231-235 ◽  
Author(s):  
Craig Riddet ◽  
Andrew R. Brown ◽  
Scott Roy ◽  
Asen Asenov
Keyword(s):  
Monte Carlo ◽  
Boundary Conditions ◽  
Monte Carlo Simulations ◽  
Density Gradient ◽  
Gradient Corrections ◽  
3D Monte Carlo

Tetrahedral elements in self-consistent parallel 3D Monte Carlo simulations of MOSFETs

2008 ◽  
Vol 7 (3) ◽  
pp. 201-204 ◽  
Author(s):  
M. Aldegunde ◽  
A. J. García-Loureiro ◽  
A. Martinez ◽  
K. Kalna
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Tetrahedral Elements ◽  
Self Consistent ◽  
3D Monte Carlo

Topological defects in nematic films between planar degenerate surfaces. A Monte Carlo study

2021 ◽  
pp. 2250016
Author(s):  
Cesare Chiccoli ◽  
Paolo Pasini ◽  
Luiz Roberto Evangelista ◽  
Rodolfo Teixeira de Souza ◽  
Claudio Zannoni
Keyword(s):  
Monte Carlo ◽  
Boundary Conditions ◽  
Monte Carlo Simulations ◽  
Defect Structure ◽  
Topological Defects ◽  
Monte Carlo Study ◽  
Geometric Parameters ◽  
Molecular Organization ◽  
The One

The molecular organization of a nematic film sandwiched between two planar randomly aligned surfaces is studied by means of detailed Monte Carlo simulations. The formation as well as the evolution of topological defects induced by these particular boundary conditions are investigated. The resulting defect structure is compared with the one induced by hybrid aligned surfaces. The observation of such defects and some features of their structures can be associated with geometric parameters of the film and with properties of the confining surfaces.

scholarly journals Color structure of gluon field magnetic mass

2019 ◽  
Vol 34 (09) ◽  
pp. 1950052
Author(s):  
Natalia V. Kolomoyets ◽  
Vladimir V. Skalozub
Keyword(s):  
Monte Carlo ◽  
Boundary Conditions ◽  
Monte Carlo Simulations ◽  
Finite Temperature ◽  
Color Structure ◽  
Enhancing Factor ◽  
Abelian Field ◽  
Chromomagnetic Field ◽  
Magnetic Mass ◽  
Twisted Boundary Conditions

The color structure of the gluon field magnetic mass is investigated in the lattice SU(2) gluodynamics. To realize that the interaction between a monopole–antimonopole string and external neutral Abelian chromomagnetic field flux is considered. The string is introduced in the way proposed by Srednicki and Susskind. The neutral Abelian field flux is introduced through the twisted boundary conditions. Monte Carlo simulations are performed on 4D lattices at finite temperature. It is shown that the presence of the Abelian field flux weakens the screening of the string field. That means decreasing the gluon magnetic mass for this environment. The contribution of the neutral Abelian field has the form of “enhancing” factor in the fitting functions. This behavior independently confirms the long-range nature of the neutral Abelian field reported already in the literature. The comparison with analytic calculations is given.

SUMMATION OF LOGARITHMIC INTERACTIONS IN PERIODIC MEDIA

1996 ◽  
Vol 07 (06) ◽  
pp. 873-881 ◽  
Author(s):  
NIELS GRØNBECH-JENSEN
Keyword(s):  
Monte Carlo ◽  
Boundary Conditions ◽  
Monte Carlo Simulations ◽  
Periodic Boundary ◽  
Periodic Boundary Conditions ◽  
Dimensional System ◽  
Two Dimensional ◽  
Trigonometric Functions ◽  
Periodic Media ◽  
Two Dimensional System

We present a set of expressions for evaluating energies and forces between particles interacting logarithmically in a finite two-dimensional system with periodic boundary conditions. The formalism can be used for fast and accurate, dynamical or Monte Carlo, simulations of interacting line charges or interactions between point and line charges. The expressions are shown to converge to usual computer accuracy (~10–16) by adding only few terms in a single sum of standard trigonometric functions.

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