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.

This IMA Volume in Mathematics and its Applications Metastability and Incompletely Posed Problems represents the proceedings of a workshop which was an integral part of the 19R4-R5 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EOIIATIONS. We are grateful to the Scientific Committee:, I.L. Eri cksen D. Kinderlehrer H. Rrezis C. Dafermos for their dedication and hard work in developing an imaginative, stimulating, and productive year-long program. George R. Sell Hans Weinberger Preface Most equilibrium events in nature do not realize configurations of minimum energy. They are only metastable. Available knowledge of constitutive relations and environmental interactions may be limiterl. As a result, many configurations may he compatible with the rlata. Such questions are incompletely poserl. The papers in this volume address a wide variety of these issues as they are perceived by the material scientist and the mathematician. They represent a portion of the significant activity which has been underway in recent years, from the experimental arena and physical theory to the analysis of differential equations and computation.

Andrew F. Nagy Originally published in the journal Space Science Reviews, Volume 139, Nos 1-4. DOI: 10. 1007/s11214-008-9353-0 (c) Springer Science+Business Media B. V. 2008 Keywords Aeronomy The term "aeronomy" has been used widely for many decades, but its origin has mostly been lost over the years. It was introduced by Sydney Chapman in a Letter to the Editor, entitled "Some Thoughts on Nomenclature," in Nature in 1946 (Chapman 1946). In that letter he suggested that aeronomy should replace meteorology, writing that the word "meteor is now irrelevant and misleading." This proposal was apparently not received with much support so in a short note in Weather in 1953 Chapman (1953)wrote: "If, despite its obvious convenience of brevity in itself and its derivatives, it does not commend itself to aeronomers, I think there is a case for modifying my proposal so that instead of the word being used to signify the study of the atmosphere in general, it should be adopted with the restricted sense of the science of the upper atmosphere, for which there is no convenient short word. " In a chapter, he wrote in a 1960 book (Chapman 1960), he give his nal and de nitive de nition, by stating that "Aeronomy is the science of the upper region of the atmosphere, where dissociation and ionization are important." The Workshop on "Comparative Aeronomy" was held at ISSI during the week of June 25-29, 2007.

Experiments with rubber balloons and rubber sheets have led to surprising observations, some of them hitherto unknown or not previously described in the literature. In balloons, these phenomena are due to the non-monotonic pressure-radius characteristic which makes balloons a subject of interest to physicists engaged in stability studies. Here is a situation in which symmetry breaking and hysteresis may be studied analytically, because the stress-stretch relations of rubber - and its non-convex free energy - can be determined explicitly from the kinetic theory of rubber and from non-linear elasticity. Since rubber elasticity and the elasticity of gases are both entropy-induced, a rubber balloon represents a compromise between the entropic tendency of a gas to expand and the entropic tendency of rubber to contract. Thus rubber and rubber balloons furnish instructive paradigms of thermodynamics. This monograph treats the subject at a level appropriate for post-graduate studies.

Thermodynamics is the much abused slave of many masters * physicists who love the totally impractical Carnot process, * mechanical engineers who design power stations and refrigerators, * chemists who are successfully synthesizing ammonia and are puzzled by photosynthesis, * meteorologists who calculate cloud bases and predict foehn, boraccia and scirocco, * physico-chemists who vulcanize rubber and build fuel cells, * chemical engineers who rectify natural gas and distil f- mented potato juice, * metallurgists who improve steels and harden surfaces, * - trition counselors who recommend a proper intake of calories, * mechanics who adjust heat exchangers, * architects who construe - and often misconstrue - ch- neys, * biologists who marvel at the height of trees, * air conditioning engineers who design saunas and the ventilation of air plane cabins, * rocket engineers who create supersonic flows, et cetera. Not all of these professional groups need the full depth and breadth of ther- dynamics. For some it is enough to consider a well-stirred tank, for others a s- tionary nozzle flow is essential, and yet others are well-served with the partial d- ferential equation of heat conduction. It is therefore natural that thermodynamics is prone to mutilation; different group-specific meta-thermodynamics' have emerged which serve the interest of the groups under most circumstances and leave out aspects that are not often needed in their fields.

This book offers an easy to read, all-embracing history of thermodynamics. It describes the long development of thermodynamics, from the misunderstood and misinterpreted to the conceptually simple and extremely useful theory that we know today. Coverage identifies not only the famous physicists who developed the field, but also engineers and scientists from other disciplines who helped in the development and spread of thermodynamics as well.

Andrew F. Nagy Originally published in the journal Space Science Reviews, Volume 139, Nos 1-4. DOI: 10. 1007/s11214-008-9353-0 (c) Springer Science+Business Media B. V. 2008 Keywords Aeronomy The term "aeronomy" has been used widely for many decades, but its origin has mostly been lost over the years. It was introduced by Sydney Chapman in a Letter to the Editor, entitled "Some Thoughts on Nomenclature," in Nature in 1946 (Chapman 1946). In that letter he suggested that aeronomy should replace meteorology, writing that the word "meteor is now irrelevant and misleading." This proposal was apparently not received with much support so in a short note in Weather in 1953 Chapman (1953)wrote: "If, despite its obvious convenience of brevity in itself and its derivatives, it does not commend itself to aeronomers, I think there is a case for modifying my proposal so that instead of the word being used to signify the study of the atmosphere in general, it should be adopted with the restricted sense of the science of the upper atmosphere, for which there is no convenient short word. " In a chapter, he wrote in a 1960 book (Chapman 1960), he give his nal and de nitive de nition, by stating that "Aeronomy is the science of the upper region of the atmosphere, where dissociation and ionization are important." The Workshop on "Comparative Aeronomy" was held at ISSI during the week of June 25-29, 2007.

This book constitutes the refereed proceedings of the International Workshop on Service-Oriented Computing: Agents, Semantics, and Engineering, SOCASE 2007, held in Honolulu, HI, USA as an associated event of AAMAS 2007. The volume is rounded off with selected four best papers from the Service-Oriented Computing and Agent-based Engineering Workshop, SOCABE 2006, held at AAMAS 2006.

"Entropy and Energy- a Universal Competition" is a students textbook as well as a scientific monograph. The concepts of entropy and energy embody the effects of random walk in a body and of deterministic strife respectively, and are therefore often in competition. The book gives instructive examples from elementary thermodynamics and physico-chemistry and extrapolates the notion to non-standard thermodynamic subjects like shape memory, dissipation of the earth's atmosphere, and sociology. The works of the thermodynamic pioneers are presented, in particular Clausius, Caratheodory, Boltzmann, Gibbs, and Planck. The laws of thermodynamics and their limitations are discussed; also the pertinacious Gibbs paradox.The reader has numerous possibilities to influence the programs and thus develop an understanding for the thermodynamic principles."

Experiments with rubber balloons and rubber sheets have led to surprising observations, some of them hitherto unknown or not previously described in the literature. In balloons, these phenomena are due to the non-monotonic pressure-radius characteristic which makes balloons a subject of interest to physicists engaged in stability studies. Here is a situation in which symmetry breaking and hysteresis may be studied analytically, because the stress-stretch relations of rubber - and its non-convex free energy - can be determined explicitly from the kinetic theory of rubber and from non-linear elasticity. Since rubber elasticity and the elasticity of gases are both entropy-induced, a rubber balloon represents a compromise between the entropic tendency of a gas to expand and the entropic tendency of rubber to contract. Thus rubber and rubber balloons furnish instructive paradigms of thermodynamics. This monograph treats the subject at a level appropriate for post-graduate studies.

This book offers an easy to read, all-embracing history of thermodynamics. It describes the long development of thermodynamics, from the misunderstood and misinterpreted to the conceptually simple and extremely useful theory that we know today. Coverage identifies not only the famous physicists who developed the field, but also engineers and scientists from other disciplines who helped in the development and spread of thermodynamics as well.

Thermodynamics is the much abused slave of many masters * physicists who love the totally impractical Carnot process, * mechanical engineers who design power stations and refrigerators, * chemists who are successfully synthesizing ammonia and are puzzled by photosynthesis, * meteorologists who calculate cloud bases and predict foehn, boraccia and scirocco, * physico-chemists who vulcanize rubber and build fuel cells, * chemical engineers who rectify natural gas and distil f- mented potato juice, * metallurgists who improve steels and harden surfaces, * - trition counselors who recommend a proper intake of calories, * mechanics who adjust heat exchangers, * architects who construe - and often misconstrue - ch- neys, * biologists who marvel at the height of trees, * air conditioning engineers who design saunas and the ventilation of air plane cabins, * rocket engineers who create supersonic flows, et cetera. Not all of these professional groups need the full depth and breadth of ther- dynamics. For some it is enough to consider a well-stirred tank, for others a s- tionary nozzle flow is essential, and yet others are well-served with the partial d- ferential equation of heat conduction. It is therefore natural that thermodynamics is prone to mutilation; different group-specific meta-thermodynamics' have emerged which serve the interest of the groups under most circumstances and leave out aspects that are not often needed in their fields.

Geschrieben fur Studenten der Ingenieurwissenschaften, der Chemie und der Physik werden in diesem Lehrbuch die thermodynamischen Grundlagen sauber hergeleitet; dazu reichen die Mathematikkenntnisse des Grundstudiums. Das Buch enthalt Ubungsaufgaben und ist auch zum Selbststudium geeignet. Historische Anmerkungen lockern den Text auf und illustrieren die Begriffe von Temperatur, Energie und Entropie, indem sie deren schwierige Entstehung nachvollziehen. Unter sorgfaltiger Herleitung der thermodynamischen Grundlagen behandelt der Autor zahlreiche Anwendungen in der Physik und der Chemie, der Werkstoffkunde, der Warmeubertragung, der Gasdynamik usw. Die Neuauflage enthalt zahlreiche Verbesserungen, behalt aber das bewahrte padagogische Gesamtkonzept bei."