scholarly journals SIMULATION AND CHARACTERIZATION OF RANDOM SYSTEMS OF HARD PARTICLES

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.

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.


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.


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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