Related Experiment Videos
Evaluation of bridge-function diagrams via Mayer-sampling Monte Carlo simulation.
1Department of Chemical and Biological Engineering, University at Buffalo, The State University of New York, Buffalo, NY 14260-4200, USA.
The Journal of Chemical Physics
|April 20, 2005
Summary
We calculated bridge function coefficients for hard-sphere systems up to the fourth density order. The Mayer-sampling method showed slow convergence when compared with molecular simulation data.
Area of Science:
- Statistical mechanics
- Thermodynamics
- Computational physics
Background:
- The bridge function is crucial for understanding the thermodynamics of dense fluids.
- Accurate calculation of the bridge function is challenging due to complex cluster expansions.
Purpose of the Study:
- To report coefficients of the h-bond expansion of the bridge function for hard-sphere systems.
- To evaluate the convergence of density expansion methods for the bridge function.
Main Methods:
- Utilized the Mayer-sampling method for cluster integral evaluation.
- Employed an iterative scheme solving the Ornstein-Zernike equation with calculated clusters.
- Calculated coefficients up to the fourth density order (rho(4)).
Main Results:
- Reported bridge function coefficients up to rho(4), involving 88 cluster diagrams.
- Calculations were performed for reduced densities from 0.1 to 0.9.
- Observed very slow convergence for the density expansion of the bridge function.
Conclusions:
- The Mayer-sampling method combined with Ornstein-Zernike closure shows slow convergence for bridge function density expansions.
- Further development is needed for efficient calculation of bridge functions in dense systems.