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Author: Tamás Matolcsi Publisher: Akademiai Kiado ISBN: 9789630581707 Category : Science Languages : en Pages : 390
Book Description
This book presents a dynamical theory of classical thermodynamics. This approach rules out the embarrassing feature of usual treatments in which only equilibrium is admitted as a meaningful state, but the most important assertions (first law and second law) presuppose changes of states i.e. nonequilibrium processes. Now the process becomes the fundamental notion, the process as a function in time, governed by a dynamical equation. A mathematically exact treatise is expounded after the heuristic explanation of the notions. A large number of special systems are examined. The applied mathematics is simple: the fundamental results of analysis and ordinary differential equations and Ljapunov's stability theory are used only.
Author: Tamás Matolcsi Publisher: Akademiai Kiado ISBN: 9789630581707 Category : Science Languages : en Pages : 390
Book Description
This book presents a dynamical theory of classical thermodynamics. This approach rules out the embarrassing feature of usual treatments in which only equilibrium is admitted as a meaningful state, but the most important assertions (first law and second law) presuppose changes of states i.e. nonequilibrium processes. Now the process becomes the fundamental notion, the process as a function in time, governed by a dynamical equation. A mathematically exact treatise is expounded after the heuristic explanation of the notions. A large number of special systems are examined. The applied mathematics is simple: the fundamental results of analysis and ordinary differential equations and Ljapunov's stability theory are used only.
Author: Ingo Müller Publisher: Springer Science & Business Media ISBN: 1468404474 Category : Science Languages : en Pages : 238
Book Description
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.
Author: Clifford A. Truesdell Publisher: Springer Science & Business Media ISBN: 3642810772 Category : Science Languages : en Pages : 169
Book Description
Mon but n'a jamais be de m'occuper des ces matieres comme physicien, mais seulement comme /ogicien ... F. REECH, 1856 I do not think it possible to write the history of a science until that science itself shall have been understood, thanks to a clear, explicit, and decent logical structure. The exuberance of dim, involute, and undisciplined his torical essays upon classical thermodynamics reflects the confusion of the theory itself. Thermodynamics, despite its long history, has never had the benefit of a magisterial synthesis like that which EULER gave to hydro dynamics in 1757 or that which MAXWELL gave to electromagnetism in 1873; the expositions in the works of discovery in thermodynamics stand a pole apart from the pellucid directness of the notes in which CAUCHY presented his creation and development of the theory of elasticity from 1822 to 1845. Thermodynamics was born in obscurity and disorder, not to say confusion, and there the common presentations of it have remained. With this tractate I aim to provide a simple logical structure for the classical thermodynamics of homogeneous fluid bodies. Like any logical structure, it is only one of many possible ones. I think it is as simple and pretty as can be.
Author: Juan Carlos Moreno Piraján Publisher: BoD – Books on Demand ISBN: 9533076275 Category : Technology & Engineering Languages : en Pages : 418
Book Description
Thermodynamics is one of the most exciting branches of physical chemistry which has greatly contributed to the modern science. Being concentrated on a wide range of applications of thermodynamics, this book gathers a series of contributions by the finest scientists in the world, gathered in an orderly manner. It can be used in post-graduate courses for students and as a reference book, as it is written in a language pleasing to the reader. It can also serve as a reference material for researchers to whom the thermodynamics is one of the area of interest.
Author: Gilbert Newton Lewis Publisher: Courier Dover Publications ISBN: 0486842746 Category : Science Languages : en Pages : 736
Book Description
"The book will undoubtedly resume its place as a constant guide and reference for chemists using thermodynamics in their research, and as a textbook and reference for classes in the application of thermodynamics to chemistry." -- The Journal of Chemical Education Since its first publication in 1923, this volume has been considered one of the great books in the literature of chemistry. In the early 60s, two well-known chemists revised and updated it, adding substantial material on solution thermodynamics, results in statistical mechanics, surfaces, gravitational and electromagnetic fields, and other areas. The republication of this foundational work will be welcomed by teachers in the field.
Author: Ingo Mueller Publisher: Springer Science & Business Media ISBN: 1461222109 Category : Science Languages : en Pages : 332
Book Description
Ordinary thermodynamics provides reliable results when the thermodynamic fields are smooth, in the sense that there are no steep gradients and no rapid changes. In fluids and gases this is the domain of the equations of Navier-Stokes and Fourier. Extended thermodynamics becomes relevant for rapidly varying and strongly inhomogeneous processes. Thus the propagation of high frequency waves, and the shape of shock waves, and the regression of small-scale fluctuation are governed by extended thermodynamics. The field equations of ordinary thermodynamics are parabolic while extended thermodynamics is governed by hyperbolic systems. The main ingredients of extended thermodynamics are • field equations of balance type, • constitutive quantities depending on the present local state and • entropy as a concave function of the state variables. This set of assumptions leads to first order quasi-linear symmetric hyperbolic systems of field equations; it guarantees the well-posedness of initial value problems and finite speeds of propaga tion. Several tenets of irreversible thermodynamics had to be changed in subtle ways to make extended thermodynamics work. Thus, the entropy is allowed to depend on nonequilibrium vari ables, the entropy flux is a general constitutive quantity, and the equations for stress and heat flux contain inertial terms. New insight is therefore provided into the principle of material frame indifference. With these modifications an elegant formal structure can be set up in which, just as in classical thermostatics, all restrictive conditions--derived from the entropy principle-take the form of integrability conditions.
Author: Stanislaw Sieniutycz Publisher: CRC Press ISBN: 9780844816937 Category : Science Languages : en Pages : 516
Book Description
This multiauthored volume sketches the applications of nonequilibrium thermodynamics to complex systems. These are characterized by an involved form of the Gibbs equation and include systems such as solutions of macromolecules, magnetic hysteresis bodies, viscoelastic fluids, polarizable media, fluids under stresses and in the presence of essential nonstationarities, and high temperature gradients. As a rule, the so- called internal variables and/or dissipative fluxes are essential in the thermodynamic description of such systems.
Author: Richard Chace Tolman Publisher: Courier Corporation ISBN: 0486653838 Category : Science Languages : en Pages : 532
Book Description
Landmark study discusses Einstein's theory, extends thermodynamics to special and general relativity, and also develops the applications of relativistic mechanics and thermodynamics to cosmological models.
Author: Tamás Matolcsi
Author: Tamás Matolcsi
Author: Ingo Müller
Author: Clifford A. Truesdell
Author: Juan Carlos Moreno Piraján
Author: Gilbert Newton Lewis
Author: Ingo Mueller
Author: C. Truesdell
Author: Stanislaw Sieniutycz
Author: Richard Chace Tolman
Author: Clifford Truesdell