Clustering and continuum percolation of hard spheres near a hard wall: Monte Carlo simulation and connectedness theory

1999 ◽  
Vol 110 (8) ◽  
pp. 4028-4034 ◽  
Author(s):  
Luis A. Pugnaloni ◽  
Fernando Vericat
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Hard Spheres ◽  
Continuum Percolation ◽  
Hard Wall

Structure of chemically reacting particles near a hard wall from integral equations and computer simulations

1996 ◽  
Vol 74 (1-2) ◽  
pp. 65-76 ◽  
Author(s):  
A. Trokhymchuk ◽  
D. Henderson ◽  
S. Sokołowski
Keyword(s):  
Monte Carlo ◽  
Computer Simulations ◽  
Hard Spheres ◽  
Total Density ◽  
Hard Wall ◽  
Monte Carlo Data ◽  
Density Profiles ◽  
Interparticle Potential ◽  
Theoretical Predictions ◽  
Chemically Reacting

We performed Monte-Carlo computer simulations of a fluid of chemically reacting, or overlapping, hard spheres near a hard wall. The model of the interparticle potential is that introduced by Cummings and Stell. This investigation is directed to the determination of the structure of the fluid at the wall, and the orientation of the dimers in particular. In addition, we applied the singlet Percus–Yevick, hypernetted chain and Born–Green–Yvon equations to calculate the total density profiles of the particles. A comparison with the Monte-Carlo data indicates that the singlet Percus–Yevick theory is superior and leads to results that are in reasonable agreement with simulations for all the parameters investigated. We also calculated the average numbers of dimers formed in the bulk part of the system and the results are compared with different theoretical predictions.

scholarly journals Monte Carlo Simulation of a Binary Mixture of Hard Rods and Hard Spheres

2000 ◽  
Vol 138 ◽  
pp. 476-477 ◽  
Author(s):  
Tomonori Koda ◽  
Yoshiyuki Sato ◽  
Susumu Ikeda
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Binary Mixture ◽  
Hard Spheres ◽  
Hard Rods

scholarly journals Monte Carlo simulation for a gas of hard spheres in d-dimensional space: Equilibrium structure and state equations

2019 ◽  
Vol 65 (2 Jul-Dec) ◽  
pp. 206
Author(s):  
J.M. Borjas-Mayorga ◽  
M.E. Grimaldo-Reyna ◽  
F.J. Almaguer-Martínez ◽  
And O. González-Amezcua ◽  
And J. R. Cantú-González
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Hard Spheres ◽  
Dimensional Space ◽  
Computing Time ◽  
Theoretical Models ◽  
Equilibrium Structure ◽  
State Equations ◽  
Five Dimensions ◽  
Reasonable Computing

In this work, we emphasize that it is possible using a personal computer to perform a MonteCarlo simulations in a reasonable computing time, and find the equilibrium structure of a hardsphere gas for a Euclidean multi-dimensional spaces. We study the properties of equilibrium and determine the equation of state of gas of hard spheres in Euclidean spaces from two to seven dimensions. The results show that the pressure is in agreement with different theoretical models based on virial expansion in spaces from two to five dimensions, also our results are extended for seven dimensions. As expected, it was found that the system of hard spheres loses its structure and the pressure of the system decreases when the dimension of the space increases.

Enhancement of Crystallization of Hard Spheres by Gravity: Monte Carlo Simulation

2005 ◽  
Vol 44 (7A) ◽  
pp. 5113-5116 ◽  
Author(s):  
Shin-ichiro Yanagiya ◽  
Atsushi Mori ◽  
Yoshihisa Suzuki ◽  
Yasuo Miyoshi ◽  
Masashi Kasuga ◽  
...  
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Hard Spheres

Thermodynamics of the hard-disk fluid at a planar hard wall: Generalized scaled-particle theory and Monte Carlo simulation

2018 ◽  
Vol 149 (8) ◽  
pp. 084701 ◽  
Author(s):  
Seth C. Martin ◽  
Brian B. Laird ◽  
Roland Roth ◽  
Hendrik Hansen-Goos
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Hard Disk ◽  
Scaled Particle Theory ◽  
Hard Wall ◽  
Particle Theory
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