scholarly journals Crystal growth study using combination of molecular dynamics and Monte Carlo methods

1999 ◽  
Vol 22 (5) ◽  
pp. 835-842 ◽  
Author(s):  
Masao Doyama
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.


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.


1986 ◽  
Vol 77 ◽  
Author(s):  
Paul A. Taylor ◽  
Brian W. Dodson

ABSTRACTWe are in the process of studying strained-layer growth of two-dimensional Lennard-Jones lattices. To do so, we have developed three techniques, based on the Monte Carlo method and molecular dynamics, of simulating atomistic crystal growth from the vapor phase. The Monte Carlo method efficiently simulates the effects of long time-scale processes on the growth of strained-layer systems, but omits the transient dynamics of particle adsorption. The second technique, using molecular dynamics, gives results suggesting that epitaxial growth of strained-layer systems can occur on the picosecond timescales. However, this technique cannot capture the influence of the long time-scale processes on the growth process. In view of the shortcomings of the previous two techniques, A hybrid technique incorporating both the Monte Carlo method and molecular dynamics, has been developed. In principle, this technique models the transient dynamics of adsorption as well as the long term evolution of the system. This technique, however, is limited by artifacts that may only be eliminated by use of unwarrented amounts of supercomputer time.


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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