scholarly journals Multicanonical methods, molecular dynamics, and Monte Carlo methods: Comparison for Lennard-Jones glasses

1998 ◽  
Vol 57 (3) ◽  
pp. 2553-2562 ◽  
Author(s):  
Kamal Bhattacharya ◽  
James Sethna
1999 ◽  
Vol 10 (02n03) ◽  
pp. 431-443 ◽  
Author(s):  
ENRIQUE DE MIGUEL ◽  
ELVIRA MARTÍN DEL RÍO

Molecular dynamics and Monte Carlo methods are applied to study the liquid free surfaces in model liquid crystals. The simulation results suggest that the attractive interactions promote parallel alignment of the molecules at the nematic free surface in the Gay–Berne model, in agreement with theoretical predictions. A change in the orientation from planar to homeotropic is observed and explained in terms of a competing effect between attractive and repulsive interactions. Finally, the simulation results give clear evidence that the hard-core repulsions favor homeotropic orientation at the nematic free surface, in agreement with most theories.


2010 ◽  
Vol 21 (03) ◽  
pp. 349-363 ◽  
Author(s):  
A. S. MARTINS ◽  
C. X. S. SEIXAS ◽  
L. B. dos SANTOS ◽  
P. R. RIOS

Molecular dynamics and Monte Carlo techniques are employed for the study of Lennard–Jones fluids near the solid–liquid transition region. Systematic comparisons between the predictions of both techniques are discussed, with particular emphasis on the structural evolution and location of the transition (melting) temperature Tm.


2011 ◽  
Vol 21 (4) ◽  
pp. 41 ◽  
Author(s):  
Dietrich Stoyan

This paper surveys methods for the simulation of random systems of hard particles, namely sedimentation and collective rearrangement algorithms, molecular dynamics, and Monte Carlo methods such as the Metropolis­ Hastings algorithm. Furthermore, some set-theoretic statistical characteristics are discussed: the covariance and topological descriptors such as specific connectivity numbers and Meck.e's morphological functions.


Author(s):  
N.K. Balabaev ◽  
V.D. Lakhno

The applicability of molecular dynamics and Monte-Carlo methods near the phase transition is discussed on the example of DNA melting.


1983 ◽  
Vol 21 ◽  
Author(s):  
G. H. Gilmer ◽  
J. Q. Broughton

ABSTRACTWe discuss some recent simulations of crystal growth from the melt at large values of the undercooling. Molecular dynamics studies of the crystallization of a Lennard-Jones liquid and Monte Carlo simulations of the Ising model have together provided information on several aspects, including maximum growth rates, generation of vacancies and other defects, and impurity trapping.


1995 ◽  
Vol 06 (02) ◽  
pp. 211-222
Author(s):  
A.M. MAZZONE

In our work a comparative study is made of molecular dynamics and Monte Carlo methods applied to the growth of a thin Fe epilayer on an Ag substrate. This comparison centres on the physics of the computational approaches and of the results.


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