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Simulations and integral-equation theories for dipolar density interacting disks
Elena Rufeil-Fiori1, Adolfo J Banchio1
1Facultad de Matemática, Astronomía, Física y Computación, Universidad Nacional de Córdoba, Córdoba X5000HUA, Argentina and Instituto de Física Enrique Gaviola, CONICET-UNC, Córdoba X5000HUA, Argentina.
This study evaluates integral equation theories for dipolar interactions in 2D systems, finding modified hypernetted chain (MHNC) and variational MHNC (VMHNC) closures perform well, especially with LB-based reference systems for accurate pair correlation functions.
Area of Science:
- Statistical Mechanics
- Soft Matter Physics
- Computational Chemistry
Background:
- Integral equation theories (IETs) based on the Ornstein-Zernike (OZ) relation are valuable for predicting fluid properties.
- Dipolar density interactions are crucial in lipid monolayers but lack IET studies in 2D systems.
- These interactions arise from aligned excess dipole densities in domains.
Purpose of the Study:
- To investigate the performance of three OZ equation closures (RY, MHNC, VMHNC) for 2D dipolar systems.
- To develop and assess approximations for hard disk correlation functions in 2D.
- To compare theoretical predictions with Monte Carlo simulations.
Main Methods:
- Applied Rogers-Young (RY), modified hypernetted chain (MHNC), and variational modified hypernetted chain (VMHNC) closures.
- Developed Percus-Yevick (PY) and Verlet-Weis-Henderson-Grundke (LB) based approximations for 2D hard disk correlation functions.
- Validated results against Monte Carlo simulation data for pair correlation function and structure factor.
Main Results:
- RY closure showed limitations in highly structured regimes.
- MHNC and VMHNC closures demonstrated robust performance.
- LB-based reference systems improved quantitative accuracy for pair correlation functions over PY-based systems.
- PY-based closures offered broader numerical applicability.
Conclusions:
- MHNC and VMHNC closures are effective for 2D dipolar systems.
- The choice of reference system significantly impacts accuracy, with LB approximations being superior for pair correlation.
- PY-based closures are generally more numerically stable and applicable across a wider range of interaction strengths.
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