Results of Percus‐Yevick approximation for a binary mixture of hard spheres with nonadditive diameters; R11=R22=0, R12 > 0

1974 ◽  
Vol 60 (2) ◽  
pp. 523-533 ◽  
Author(s):  
Saeyoung Ahn ◽  
Joel L. Lebowitz
Keyword(s):  
Binary Mixture ◽  
Hard Spheres

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 Manifestation of Energy and Entropy of Particles in a Box

2022 ◽  
Author(s):  
Mohsen Farshad
Keyword(s):  
Binary Mixture ◽  
Degrees Of Freedom ◽  
Significant Contribution ◽  
Hard Spheres ◽  
Mixture Distribution ◽  
Two Component System ◽  
Large Particles ◽  
Two Component ◽  
Precise Prediction ◽  
Dynamics Simulations

The energy and entropy, expressed in free energy, determine the behavior of a system. Therefore, infinite knowledge of these two quantities leads to precise prediction of the system's trajectories. Here, we study how the energy and entropy affect the distribution of a two-component system in a box. First, using a model, we intuitively show that large particles prefer to position at contact with the wall as it accompanies an increase of the system's entropy. We intuitively show that this is a consequence of maximizing the accessible states for fluctuating degrees of freedom as a portion of excluded volumes reside outside of the box when they locate near the wall. Then we employ molecular dynamics simulations to extract the effect of entropy and energy on the binary mixture distribution and how they compete with each other to determine the system's configuration. While particle-particle and particle-wall attraction energies affect the distribution of particles, we show that the emergent entropic forces --- quasi-gravitational --- have a significant contribution to the configuration of the system. This system is realized clearly for a binary mixture of hard spheres in a box with reflective walls.

Irreversible thermodynamics of a binary mixture of dissimilar hard spheres

1995 ◽  
Vol 222 (1-4) ◽  
pp. 411-436 ◽  
Author(s):  
Patricia Goldstein ◽  
L.S. García-Colín ◽  
E. Piña
Keyword(s):  
Binary Mixture ◽  
Hard Spheres ◽  
Irreversible Thermodynamics
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