The empty world - a view from the free volume concept and Eyring's rate process theory

Area of Science:

• Physics
• Physical Chemistry
• Computational Science

Background:

• The many-body problem, determining individual entity properties and interactions, is crucial for understanding collective system behavior across all scales.
• Traditional methods like Newtonian mechanics, quantum mechanics, and density functional theory face challenges in precisely solving the many-body problem.
• Estimating interparticle forces remains vital for characterizing mechanical and electrical properties of systems ranging from subatomic particles to galaxies.

Purpose of the Study:

• To present a unified approach for addressing the many-body problem across diverse scales.
• To summarize a novel method integrating free volume theory and Eyring's rate process theory.
• To demonstrate the applicability of this approach from electrons to cosmological systems.

Main Methods:

• Integration of free volume theory and Eyring's rate process theory.
• Application of the unified approach to various systems, from microscopic to macroscopic scales.
• Systematic comparison of theoretical predictions derived from the model with experimental observations.

Main Results:

• The proposed integrated theory provides a consistent framework for analyzing interparticle forces.
• The model's predictions show good agreement with experimental data across a wide range of physical systems.
• Demonstrates the universality of the free volume and Eyring's rate process theory in tackling the many-body problem.

Conclusions:

• The integrated free volume and Eyring's rate process theory offers a powerful and versatile tool for the many-body problem.
• This approach successfully bridges the gap between theoretical estimations and experimental validation for interparticle interactions.
• The unified methodology holds significant potential for advancing our understanding of complex systems in physics and chemistry.