Tommaso Ruggeri, Masaru Sugiyama

Rational Extended Thermodynamics beyond the Monatomic Gas

• Broschiertes Buch

Produktbeschreibung

This book is dedicated to the recent developments in RET with the aim to explore polyatomic gas, dense gas and mixture of gases in non-equilibrium. In particular we present the theory of dense gases with 14 fields, which reduces to the Navier-Stokes Fourier classical theory in the parabolic limit. Molecular RET with an arbitrary number of field-variables for polyatomic gases is also discussed and the theory is proved to be perfectly compatible with the kinetic theory in which the distribution function depends on an extra variable that takes into account a molecule's internal degrees of freedom. Recent results on mixtures of gases with multi-temperature are presented together with a natural definition of the average temperature. The qualitative analysis and in particular, the existence of the global smooth solution and the convergence to equilibrium are also studied by taking into account the fact that the differential systems are symmetric hyperbolic. Applications to shock and soundwaves are analyzed together with light scattering and heat conduction and the results are compared with experimental data.

Rational extended thermodynamics (RET) is a thermodynamic theory that is applicable to non-equilibrium phenomena. It is described by differential hyperbolic systems of balance laws with local constitutive equations. As RET has been strictly related to the kinetic theory through the closure method of moment hierarchy associated to the Boltzmann equation, the

applicability range of the theory has been restricted within rarefied monatomic gases.

The book represents a valuable resource for applied mathematicians, physicists and engineers, offering powerful models for potential applications like satellites reentering the atmosphere, semiconductors and nano-scale phenomena.

Produktdetails

• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-319-36479-7
• Softcover reprint of the original 1st ed. 2015
• Seitenzahl: 400
• Erscheinungstermin: 22. Oktober 2016
• Englisch
• Abmessung: 235mm x 155mm x 22mm
• Gewicht: 611g
• ISBN-13: 9783319364797
• ISBN-10: 3319364790
• Artikelnr.: 48942341

Autorenporträt

Il Prof. Tommaso Ruggeri è Professore Emerito presso l'Università di Bologna ed è diventato professore ordinario di fisica matematica nel 1980. Ha ottenuto risultati significativi sulla propagazione delle onde non lineari e nei mezzi continui classici e relativistici. In questo ambito ha dato contributi originali riguardanti la simmetrizzazione dei sistemi iperbolici di leggi di bilancio, quando sono compatibili con una densità di entropia convessa, e problemi non lineari riguardanti le onde di accelerazione e le onde d'urto. Nella termodinamica fuori dall'equilibrio, è stato uno dei fondatori della moderna Termodinamica Estesa Razionale. Insieme a Ingo Mueller, ha scritto il noto libro Rational Extended Thermodynamics (Springer-Verlag, 1993 e 1998), considerato un testo fondamentale negli studi sulla termodinamica fuori dall'equilibrio. Questa teoria collega la scala macroscopica (approccio continuo) con la scala mesoscopica (teoria cinetica). I risultati più recenti sono raccolti nei libri scritti in collaborazione con Masaru Sugiyama: Rational Extended Thermodynamics beyond Monatomic Gas (Springer, 2015) e Classical and Relativistic Rational Extended Thermodynamics of Gases (Springer, 2021). È membro dell'Accademia Nazionale dei Lincei, dell'Academia Europaea, dell'European Academy of Sciences and Art, dell'European Academy of Sciences (EurASc) e dell'Accademie delle Scienze di Bologna, Napoli e Messina. È stato invitato come relatore plenario in vari congressi internazionali ed è stato professore ospite presso numerose università (Stanford, Brown, Parigi, Berlino, Seul, Taipei, Mumbai, Hong Kong, Sydney, Kyoto, Pechino, ecc.). È stato anche Direttore del Gruppo Nazionale di Fisica Matematica e Presidente del Comitato Scientifico dell'Istituto Nazionale di Alta Matematica.

Inhaltsangabe

1 Introduction.- 2 Mathematical Structure.- 3 Waves in Hyperbolic Systems.- 4 Survey of ET of Rarefied Monatomic Gases.- 5 ET Theory of Polyatomic Rarefied Gas and Dense Gas.- 6 Maximum entropy principle for rarefied polyatomic gases.- 7 Stationary heat conduction in a polyatomic gas at rest.- 8 Linear Wave in Polyatomic Gas.- 9 Shock Wave.- 10 Fluctuating hydrodynamics.- 11 Light scattering in Polyatomic Gas.- 12 ET6 Theory of Polyatomic Rarefied Gas and Dense Gas.- 13 Non linear ET6.- 14 Molecular ET Theory of Polyatomic Rarefied Gas.- 15 ET of dense gas with 6 moments.- 16 Mixture of Gases.- 17 Hyperbolic Parabolic Limit, Max wellian iteration and Objectivity.

Rezensionen

"This research book presents a lucid explanation of rational extended thermodynamics, including most recent developments. The methodology of the book can provide important models for some applications in current advanced technology. The book, which lists up some open problems, will be of interest to applied mathematicians, physicists and engineers, and it will certainly stimulate further research on the subject." (M. Cengiz Dökmeci, zbMATH 1330.76003, 2016)