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Thirty years' teaching experience have been condensed into this concise introductory book on Statistical Mechanics. Ideal for second and third year undergraduates in physics, applied mathematics, physical chemistry, chemical engineering, metallurgy, materials science and polymer science.Provides a concise introduction to statistical mechanicsIdeal for second and third year undergraduates in physics, applied mathematics, physical chemistry, chemical engineering, metallurgy, materials science and polymer science
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This important book explains how the technique of Witten Laplacians may be useful in statistical mechanics. It considers the problem of analyzing the decay of correlations, after presenting its origin in statistical mechanics. In addition, it compares the Witten Laplacian approach with other techniques, such as the transfer matrix approach and its semiclassical analysis. The author concludes by providing a complete proof of the uniform Log-Sobolev inequality.
Contents:
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L'insegnamento delle materie scientifiche nelle università italiane ha subito profondi cambiamenti con l'introduzione della riforma dell'autonomia didattica degli atenei del 1999 e con la conseguente introduzione del credito formativo universitario, che ha costretto i corsi di laurea ad una significativa contrazione del numero di ore di lezione erogabili. Questo ha indotto se non costretto molti docenti ad una semplificazione dei contenuti, riducendo pesantemente le esemplificazioni proponibili e anche, spesso, rinunciando al rigore deduttivo che molte discipline potrebbero richiedere. Questo testo è il risultato del tentativo di presentare i fondamenti della meccanica statistica agli studenti delle lauree magistrali italiane impiegando un approccio assiomatico. Il lettore viene guidato in un percorso di costruzione della teoria che lo aiuta a comprenderne i principali snodi concettuali, stimolandone l'interesse e lo spirito critico. Rifuggendo da eccessi formali, il volume si propone come un compromesso tra la necessità di mantenere il carico didattico dell'insegnamento proporzionato alle ore di lezione impartite e alle competenze matematiche degli studenti, garantendo allo stesso tempo esempi di applicazioni della teoria sufficienti per apprezzarne la rilevanza e le potenzialità predittive.
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The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians.· introduction to a field of math with many interdisciplinary connections in physics, biology, and computer science· roadmap to the next decade of mathematical statistical mechanics· volume for reference years to come
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DescriptionThis account of thermodynamics and statistical mechanics is based on entropy and its maximization. Building from first principles, it gives a transparent explanation of the physical behaviour of equilibrium thermodynamic systems, and it presents a comprehensive, self-contained account of the modern mathematical and computational techniques of statistical mechanics.Importance of TopicThis field of study is of vital importance to researchers, lecturers and students alike. Why This TitleDr Attard is a well-known researcher in statistical mechanics who has ma
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Far-from-equilibrium phenomena, while abundant in nature, are not nearly as well understood as their equilibrium counterparts. On the theoretical side, progress is slowed by the lack of a simple framework, such as the Boltzmann-Gbbs paradigm in the case of equilibrium thermodynamics. On the experimental side, the enormous structural complexity of real systems poses serious obstacles to comprehension.Similar difficulties have been overcome in equilibrium statistical mechanics by focusing on model systems. Even if they seem too simplistic for known physical systems, models give us considerab
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Statistical Physics is the book which would help the readers in extracting the fundamentals of statistical physics and its application to condensed matter. A New Approach to Probability Theory with reference to statistics and statistical physics is the main highlight of the book. Provides the reader with an insight into the development of various models, systems, functions and mechanics at an ease which are directly or indirectly a part of physics and statistics.
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Bringing together the key ideas from nonequilibrium statistical mechanics and powerful methodology from quantum field theory, this 2008 book captures the essence of nonequilibrium quantum field theory. Beginning with the foundational aspects of the theory, the book presents important concepts and useful techniques, discusses issues of basic interest, and shows how thermal field, linear response, kinetic theories and hydrodynamics emerge. It also illustrates how these concepts are applied to research topics including nonequilibrium phase transitions, thermalization in relativistic heavy ion collisions, the nonequilibrium dynamics of Bose-Einstein condensation, and the generation of structures from quantum fluctuations in the early Universe. This self-contained book is a valuable reference for graduate students and researchers in particle physics, gravitation, cosmology, atomic-optical and condensed matter physics. It has been reissued as an Open Access publication.
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All engineering processes are processes of non-equilibrium because one or all of heat, mass, and momentum transfer occur in an open system. The pure equilibrium state can be established in an isolated system, in which neither mass nor heat is transferred between the system and the environment. Most engineering transport analyses are based on the semi-, quasi-, or local equilibrium assumptions, which assume that any infinitesimal volume can be treated as a box of equilibrium. This book includes various aspects of non-equilibrium or irreversible statistical mechanics and their relationships with engineering applications. I hope that this book contributes to expanding the predictability of holistic engineering consisting of thermo-, fluid, and particle dynamics.
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