Related Experiment Video
Updated: Feb 19, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Kirkwood-Buff integrals for hard-core Yukawa fluids.
Han-Fei Chen1, Jiang-Tao Li1, Fang Gu1
1College of Chemistry and Environmental Science, Hebei University, 071002, Baoding, China.
Kirkwood-Buff theory reveals how particle interactions affect fluid properties. This study uses it to analyze hard-core Yukawa fluids, finding that density and energy control aggregated structures.
Area of Science:
- Physical Chemistry
- Statistical Mechanics
- Soft Matter Physics
Background:
- The Kirkwood-Buff (KB) theory provides a link between microscopic interactions and macroscopic thermodynamic properties of solutions.
- Understanding the behavior of one-component fluids is fundamental in statistical mechanics and physical chemistry.
- The hard-core Yukawa (HCY) model is a relevant system for studying fluid behavior with both repulsive and attractive forces.
Purpose of the Study:
- To investigate macroscopic properties of the one-component hard-core Yukawa (HCY) fluid using Kirkwood-Buff (KB) theory.
- To calculate Kirkwood-Buff integrals (KBIs) for both repulsive and attractive HCY fluids.
- To explore the relationship between local structure and global properties, including isothermal compressibility and chemical potential derivatives.
Main Methods:
- Employing Kirkwood-Buff (KB) theory to analyze HCY fluids.
- Utilizing classical density functional theory to compute radial distribution functions.
- Calculating Kirkwood-Buff integrals (KBIs) from the obtained radial distribution functions.
Main Results:
- Radial distribution functions and KBIs were computed for repulsive and attractive HCY fluids.
- Isothermal compressibility and chemical potential derivatives were determined.
- A transition in particle affinity within attractive HCY fluids was identified, with phase diagrams illustrating repulsive and attractive regions.
Conclusions:
- Kirkwood-Buff integrals offer a quantitative and reliable method for describing HCY fluid properties.
- The aggregated structure of HCY fluids can be effectively controlled by screening parameters, bulk density, and interaction energy.
- Phase diagrams based on particle affinity provide insights into the distinct behaviors of HCY fluids.
Related Concept Videos
Improper Integrals: Discontinuous Integrands
Differential Form of Maxwell's Equations
Dimensionless Groups in Fluid Mechanics
Indefinite Integrals
Boundary Conditions for Current Density
Applications of Integration to Find Hydrostatic Pressure

