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Titlebook: Extended Thermodynamics; Ingo Müller,Tommaso Ruggeri Book 19931st edition Springer-Verlag New York, Inc. 1993 Boltzmann equation.kinetic t

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发表于 2025-3-21 18:46:40 | 显示全部楼层 |阅读模式
书目名称Extended Thermodynamics
编辑Ingo Müller,Tommaso Ruggeri
视频video
丛书名称Springer Tracts in Natural Philosophy
图书封面Titlebook: Extended Thermodynamics;  Ingo Müller,Tommaso Ruggeri Book 19931st edition Springer-Verlag New York, Inc. 1993 Boltzmann equation.kinetic t
描述Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility between the expectation of physicists and the classical laws of thermodynamics has prompted the formulation of extended thermodynamics. After describing the motifs and early evolution of this new branch of irreversible thermodynamics, the authors apply the theory to mon-atomic gases, mixtures of gases, relativistic gases, and "gases" of phonons and photons. The discussion brings into perspective the various phenomena called second sound, such as heat propagation, propagation of shear stress and concentration, and the second sound in liquid helium. The formal mathematical structure of extended thermodynamics is exposed and the theory is shown to be fully compatible with the kinetic theory of gases. The study closes with the testing of extended thermodynamics through the exploitation of its predictions for measurements of light scattering and sound propagation.
出版日期Book 19931st edition
关键词Boltzmann equation; kinetic theory; thermodynamics
版次1
doihttps://doi.org/10.1007/978-1-4684-0447-0
isbn_softcover978-1-4684-0449-4
isbn_ebook978-1-4684-0447-0Series ISSN 0081-3877
issn_series 0081-3877
copyrightSpringer-Verlag New York, Inc. 1993
The information of publication is updating

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发表于 2025-3-21 20:37:39 | 显示全部楼层
Relativistic Extended Thermodynamics of Mon-Atomic Gases, equations of ordinary thermodynamics disturbed them acutely. Indeed immediately after the formulation of the early version of extended thermodynamics Müller [5] formulated the theory relativistically, but this work was not properly published until Israel [33] presented a very similar theory. These
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Waves in Extended Thermodynamics,e case of shock waves, the jumps in density, temperature, etc. Such observations permit the calculation of constitutive coefficients or alternatively, when the coefficients are known, they permit the evaluation of the range of validity of the theory.
发表于 2025-3-22 11:53:37 | 显示全部楼层
Second Sound in Solids at Low Temperature, this wave and confirmed that its temperature variations are uncoupled from the pressure variations: therefore the second sound is often referred to as a temperature wave. This phenomenon is now well understood. We described it in Chapter 3 following the work of Dreyer [81], who showed that the bifl
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Testing Extended Thermodynamics by Light,tage of this method is that it works in equilibrium; in fact, it makes use of the density fluctuations in equilibrium. By Onsager’s hypothesis the auto-correlation function of such a fluctuation is related to the solution of the macroscopic field equations.
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Charakterisierung von Unternehmensanleihen,eat them thermodynamically. The first successful attempt in that direction was Boltzmann’s derivation of what we now call the Stefan-Boltzmann law. That law relates the energy density of cavity radiation in equilibrium with the wall to the temperature of the wall.
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