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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Rényi's Entropy, Statistical Order and van der Waals Gas
Flavia Pennini1,2, Angelo Plastino3
1Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta 1270709, Chile.
Entropy (Basel, Switzerland)
|August 26, 2022
Summary
Statistical order arises from the disequilibrium concept, closely linked to Rényi entropy. This connection is further explored within the context of the van der Waals gas model.
Area of Science:
- Statistical Mechanics
- Thermodynamics
- Information Theory
Background:
- The concept of statistical order has roots in the disequilibrium principle.
- This principle was introduced by López-Ruiz, Mancini, and Calbet.
- Understanding statistical order is crucial in various scientific domains.
Purpose of the Study:
- To demonstrate the intrinsic relationship between statistical disequilibrium and Rényi entropy.
- To investigate the implications of this relationship in the context of the van der Waals gas model.
- To provide a deeper understanding of statistical order and its physical manifestations.
Main Methods:
- Theoretical analysis connecting disequilibrium and entropy measures.
- Application of mathematical frameworks to explore statistical properties.
- Utilizing the van der Waals gas model as a physical system for investigation.
Main Results:
- A direct and intimate link between the disequilibrium measure and Rényi entropy is established.
- The study confirms the relevance of this link in describing the behavior of the van der Waals gas.
- Quantitative relationships are explored between these fundamental concepts.
Conclusions:
- The disequilibrium concept provides a foundation for understanding statistical order.
- Rényi entropy is a key measure intrinsically connected to statistical disequilibrium.
- The van der Waals gas serves as a relevant model for observing these statistical phenomena.
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