Produktbild: Extended Thermodynamics
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Extended Thermodynamics

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Abbildungen

XI, 230 pp. 43 figs.

Verlag

Springer New York

Seitenzahl

230

Maße (L/B/H)

1,6/16,4/24,1 cm

Gewicht

530 g

Sprache

Englisch

ISBN

978-0-387-97922-9

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Abbildungen

XI, 230 pp. 43 figs.

Verlag

Springer New York

Seitenzahl

230

Maße (L/B/H)

1,6/16,4/24,1 cm

Gewicht

530 g

Sprache

Englisch

ISBN

978-0-387-97922-9

Herstelleradresse

Springer Heidelberg
Tiergartenstr. 17
69121 Heidelberg
DE
buchhandel-buch@springer.com

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  • Produktbild: Extended Thermodynamics
  • 1 Early Version of Extended Thermodynamics and Kinetic Theory of Gases.- 1 Paradoxa of Heat Conduction and Shear Diffusion.- 1.1 Heuristic Derivation of the Laws of Fourier and Navier-Stokes.- 1.2 Parabolic Laws of Heat Conduction and Shear Diffusion.- 2 Paradox Removed.- 2.1 The Cattaneo Equation.- 2.2 Extended TIP.- 2.3 Finite Pulse Speeds in Extended TIP.- 2.4 Conclusion and Criticism.- 3 Kinetic Theory of Mon-Atomic Gases.- 3.1 Boltzmann Equation and Moments.- 3.2 Equations of Balance for Moments.- 3.3 Balance of Entropy and Possible Equilibria.- 3.4 The Grad Distribution.- 3.5 Entropy and Entropy Flux in Grad's 13-Moment Theory.- 3.6 Phenomenological Equations Derived from the Kinetic Theory.- 3.7 Pulse Speeds.- 3.8 Conclusions.- 2 Extended Thermodynamics of Mon-Atomic Gases.- 1 The Equations of Extended Thermodynamics of Mon-Atomic Gases.- 1.1 Thermodynamic Processes.- 1.2 Discussion.- 1.3 Galilean Invariance: Convective and Non-Convective Fluxes.- 1.4 Euclidean Invariance: Inertial Effects.- 2 Constitutive Theory.- 2.1 Restrictive Principles.- 2.2 Exploitation of the Principle of Material Frame Indifference.- 2.3 Exploitation of the Entropy Principle.- 2.4 Exploitation of the Requirement of Convexity and Causality.- 3 Field Equations and the Thermodynamic Limit.- 3.1 Field Equations.- 3.2 The Thermodynamic Limit.- 3.3 The Frame-Dependence of the Heat Flux.- 4 Thermal Equations of State and Specific Equation for Ideal Gases.- 4.1 The Classical Ideal Gas.- 4.2 Comparison with the Kinetic Theory.- 4.3 Comparison with Extended TIP.- 4.4 Degenerate Ideal Gases.- 3 Thermodynamics of Mixtures of Fluids.- 1 Ordinary Thermodynamics of Mixtures (TIP).- 1.1 Constitutive Equations.- 1.2 Paradox of Diffusion.- 2 Extended Thermodynamics of Non-Viscous Simple Mixtures.- 2.1 Balance Equations.- 2.2 Thermodynamic Processes.- 2.3 Constitutive Theory.- 2.4 Summary of Results.- 2.5 Wave Propagation in a Non-Reacting Binary Mixture.- 2.6 Landau Equations: First and Second Sound in He II.- 3 Ordinary and Extended Thermodynamics of Mixtures.- 3.1 The Laws of Fick and Fourier in Extended Thermodynamics.- 3.2 Onsager Relations.- 3.3 Inertial Contribution to the Laws of Diffusion.- 4 Relativistic Extended Thermodynamics of Mon-Atomic Gases.- 1 Balance Equations and Constitutive Restrictions.- 1.1 Thermodynamic Processes.- 1.2 Principles of the Constitutive Theory.- 2 Constitutive Theory.- 2.1 Scope and Structure.- 2.2 Lagrange Multipliers and the Vector Potential.- 2.3 Principle of Relativity and Linear Representations.- 2.4 Stress Deviator, Heat Flux, and Dynamic Pressure.- 2.5 Fugacity and Absolute Temperature.- 2.6 Linear Relations Between Lagrange Multipliers and n, UA, t, ?, qA, e.- 2.7 The Linear Flux Tensor.- 2.8 The Entropy Flux Vector.- 2.9 Residual Inequality.- 2.10 Causality and Convexity.- 2.11 Summary of Results.- 3 Identification of Viscosities and Heat Conductivity.- 3.1 Extended Thermodynamics and Ordinary Thermodynamics.- 3.2 Transition from Extended to Ordinary Thermodynamics.- 4 Specific Results for Relativistic and Degenerate Gases.- 4.1 Equilibrium Distribution Function.- 4.2 The Degenerate Relativistic Gas.- 4.3 Non-Degenerate Relativistic Gas.- 4.4 Degenerate Non-Relativistic Gas.- 4.5 Non-Degenerate Non-Relativistic Gas.- 4.6 Strongly Degenerate Relativistic Fermi Gas.- 4.7 A Remark on the Strongly Degenerate Relativistic Bose Gas.- 4.8 Equilibrium Properties of an Ultrarelativistic Gas.- 5 Two Applications.- 5.1 The Limit Mass of White Dwarfs.- 5.2 Thermo Acceleration Waves.- 6 The Relativistic Kinetic Theory for Non-Degenerate Gases.- 6.1 Boltzmann-Chernikov Equation.- 6.2 Equations of Transfer.- 6.3 Equations of Balance for Particle Number, Energy-Momentum, Fluxes, and Entropy.- 6.4 Maxwell-Jüttner Distribution: Equilibrium Properties.- 6.5 Possible Thermodynamic Fields in Equilibrium.- 7 The Non-Relativistic Limit of Relativistic Thermodynamics.- 7.1 The Problem.- 7.2 Variables and Constitutive Quantities.- 7.3 The D