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

Monte Carlo simulation of a binary mixture on the surface of a sphere: lateral phase transition and pattern formation

2010 ◽  
Vol 108 (10) ◽  
pp. 1329-1335 ◽  
Author(s):  
Ariel G. Meyra ◽  
Guillermo J. Zarragoicoechea ◽  
Victor A. Kuz
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Pattern Formation ◽  
Binary Mixture

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

Segregation Diagram of a Mixture of Particles with Different Sizes and Densities

2012 ◽  
Vol 508 ◽  
pp. 155-159
Author(s):  
Shuji Shimamura ◽  
Takanori Takahira ◽  
Shota Suga ◽  
Hajime Tamura ◽  
Yasuhiro Senda
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Binary Mixture ◽  
Granular Materials ◽  
Critical Size ◽  
Dimensional Space ◽  
Density Ratio ◽  
Size Ratio ◽  
Two Dimensional ◽  
Fast Rotating

Segregation in granular materials has been studied by means of Monte Carlo simulation. The mechanism of segregation in a binary mixture of particles with different sizes and densities has been investigated for shaking and rotating processes in two-dimensional space. From the simulations we have obtained the segregation diagrams for shaking and rotating. These diagrams show what type of segregation occurs in a binary mixture with given values of the size ratio and the density ratio. From the diagrams we can also know what conditions are required to avoid segregation and mix uniformly a mixture of particles with different sizes and densities by the shaking and fast rotating processes. It is also shown that in the shaking process there is a critical size-ratio above which large-sized particles always segregate upward irrespective of the density ratio. Some implications of the segregation diagrams for shaking and rotating obtained by our simulations are discussed with consideration for real granular materials.

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