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Classical and Relativistic Rational Extended Thermodynamics of Gases
Rational extended thermodynamics (RET) is the theory that is applicable to nonequilibrium phenomena out of local equilibrium. It is expressed by the...
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Relativistic Kinetic Theory of Polyatomic Gases: Classical Limit of a New Hierarchy of Moments and Qualitative Analysis
A relativistic version of the Kinetic Theory for polyatomic gas is considered and a new hierarchy of moments that takes into account the total energy...
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The practice of principles: Planck’s vision of a relativistic general dynamics
Planck’s pioneering contributions to special relativity have received less consideration than one might expect in the historiography and philosophy...
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Extremal Black Holes as Relativistic Systems with Kepler Dynamics
The recent detection of gravitational waves emanating from inspiralling black hole binaries has triggered a renewed interest in the dynamics of...
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Relativistic Polyatomic Gas
The goal of this chapter is to present the relativistic extended thermodynamics (relativistic ET) theory of rarefied polyatomic gases with 14 fields....
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Relativistic RET of Rarefied Monatomic Gas
In this chapter, firstly, the relativistic Euler model of a gas is presented with the proof that the system is symmetric hyperbolic for general...
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Quantum space, quantum time, and relativistic quantum mechanics
We treat space and time as bona fide quantum degrees of freedom on an equal footing in Hilbert space. Motivated by considerations in quantum gravity,...
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A 16 moments model in relativistic extended thermodynamics of rarefied polyatomic gas
A model with 16 moments is here presented in the framework of RET of polyatomic gases. It furnishes as principal subsystem the relativistic...
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Introduction and Overview
In this chapter, before going into details, we give an overview of the present book, starting with a short history of nonequilibrium thermodynamics...
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New extended thermodynamics balance equations for an electron gas confined in a metallic body
Sommerfeld’s theory of metal electrons suggests that the electrons in a metal can be described as a gas of free fermion particles confined inside the...
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Shock structure in the 14 moment system of extended thermodynamics with high order closure based on the maximum entropy principle
An analysis of the shock structure in the 14 moment system of extended thermodynamics with first, second and third order closure based on the maximum...
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A three-phase model for blood flow
A three-phase blood model is introduced to study the behavior of red and white blood cells in narrow vessels when a variation of temperature from the...
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Globally hyperbolic moment model of arbitrary order for the three-dimensional special relativistic Boltzmann equation with the Anderson-Witting collision
This paper continues to derive the globally hyperbolic moment model of arbitrary order for the three-dimensional special relativistic Boltzmann...
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Jean-Marie Souriau’s Symplectic Model of Statistical Physics: Seminal Papers on Lie Groups Thermodynamics - Quod Erat Demonstrandum
The objective of this chapter is to make better known Jean-Marie Souriau works, more particularly his symplectic model of statistical physics, called...
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RET of Rarefied Monatomic Gas: Non-relativistic Theory
We make a survey about RET of rarefied monatomic gases. In addition to some results that have been already given in the Müller-Ruggeri book (Müller...
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The Non-isentropic Relativistic Euler System Written in a Symmetric Hyperbolic Form
We cast the non-isentropic relativistic Euler system into a symmetric hyperbolic form. Such systems are very suited to treat initial value problems...
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Multiscale Phenomena in Continuum Mechanics: Mesoscopic Justification of Rational Extended Thermodynamics of Gases with Internal Structure
In many physical systems one encounters situations where phenomena occur at different scales. An example is the modeling of a rarefied gas at varying...
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Balance Equations and First Integrals in Mechanics
The aim of this chapter is to introduce certain physical quantities relative to point-particle systems entering particular “balance equations” and...
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Global Solvability and Oscillation Criteria for a Class of Second Order Nonlinear Ordinary Differential Equations, Containing Some Important Classical Models
The Riccati equation method is used to establish some global solvability criteria for a classes of Lane–Emdem–Fowler and Van der Pol type equations....
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Capturing Composite Waves in Non-convex Special Relativistic Hydrodynamics
We deal with the numerical approximation of the complex structure in special relativistic hydrodynamics (SRHD) when the system is closed with a...
