Classical and Relativistic Rational Extended Thermodynamics of Gases / by Tommaso Ruggeri, Masaru Sugiyama.

Format:

Book

Author/Creator:

Ruggeri, Tommaso, author.

Sugiyama, Masaru, author.

Series:

Mathematics and Statistics Series

Language:

English

Subjects (All):

Mathematics.

Thermodynamics.

Physics.

Mathematical analysis.

Materials.

Applications of Mathematics.

Classical and Continuum Physics.

Analysis.

Materials Engineering.

Local Subjects:

Applications of Mathematics.

Thermodynamics.

Classical and Continuum Physics.

Analysis.

Materials Engineering.

Physical Description:

1 online resource (675 pages)

Edition:

1st ed. 2021.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2021.

System Details:

Mode of access: World Wide Web.

Summary:

Rational extended thermodynamics (RET) is the theory that is applicable to nonequilibrium phenomena out of local equilibrium. It is expressed by the hyperbolic system of field equations with local constitutive equations and is strictly related to the kinetic theory with the closure method of the hierarchies of moment equations. The book intends to present, in a systematic way, new results obtained by RET of gases in both classical and relativistic cases, and it is a natural continuation of the book "Rational Extended Thermodynamics beyond the Monatomic Gas" by the same authors published in 2015. However, this book addresses much wider topics than those of the previous book. Its contents are as follows: RET of rarefied monatomic gases and of polyatomic gases; a simplified RET theory with 6 fields being valid far from equilibrium; RET where both molecular rotational and vibrational modes exist; mixture of gases with multi-temperature. The theory is applied to several typical topics (sound waves, shock waves, etc.) and is compared with experimental data. From a mathematical point of view, RET can be regarded as a theory of hyperbolic symmetric systems, of which it is possible to conduct a qualitative analysis. The book represents a valuable resource for applied mathematicians, physicists, and engineers, offering powerful models for many potential applications such as reentering satellites into the atmosphere, semiconductors, and nanoscale phenomena.

Contents:

1. Introduction and Overview

2. 2 Mathematical Structure

3. Waves in Hyperbolic Systems

4. RET of Rarefied Monatomic Gas: Non-Relativistic Theory

5. Relativistic RET of Rarefied Monatomic Gas

6. Macroscopic Theory of Rarefied Polyatomic Gas with 14 Fields

7. Molecular ET of Rarefied Polyatomic Gas with 14 Fields

8. Relaxation Processes of Molecular Rotation and Vibration: ET15

9. Nesting Theory of Many Moments and Maximum Entropy Principle

10. Monatomic-Gas Limit in Molecular ET of Polyatomic Gas

11. Many Moments with Molecular Rotation and Vibration

12. Phenomenological Non linear RET with 6 Fields

13. Non linear Molecular ET Theory with 6 Fields

14. Non linear ET7 Theory with Molecular Rotational and Vibrational Modes

15. Non equilibrium Temperature and Chemical Potential

16. Linear Sound Wave in a Rarefied Polyatomic Gas

17. Shock Wave in a Polyatomic Gas Analyzed by ET14

18 Shock Wave and Subshock Formation Analyzed by ET6

19 Steady Flow of aPolyatomic Gas

20 Acceleration Wave, K-condition, and Global Existence in ET

21 Light Scattering

22 Heat Conduction

23 Fluctuating Hydrodynamics

24 RET of Dense Polyatomic Gas with 6 Fields

25 RET of Dense Polyatomic Gas with 7 Fields

26 Relativistic Polyatomic Gas

27 Many-Moment RET of Relativistic Polyatomic Gas and Classical Optimal Limit

28 Multi-Temperature Mixture of Fluids

29 Shock Structure in a Macroscopic Model of Binary Mixtures

30 Flocking and Thermodynamical Cucker-Smale Model

31 Mixture of Dissipative Polyatomic Gases

32 Relativistic Mixture of Gases and Relativistic Cucker-Smale Model

33 Hyperbolic Parabolic Limit, Maxwellian Iteration.

Notes:

Includes bibliographical references and index.

ISBN:

3-030-59144-1

OCLC:

1249013446