Download or read book Statistical Mechanics of Phase Transitions and Kinetics written by Edward Timoshenko and published by Edward Timoshenko. This book was released on 2021-05-06 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course is devoted to advances of Statistical Mechanics beyond the ideal equilibrium systems. We proceed from the systematic calculation of corrections to the ideal gas law and the van der Waals theory. Next, two-phase coexistence is studied and the Maxwell rule is obtained. The Flory-Huggins theory is derived for polymer solutions. We discuss the generic aspects of phase transitions, phase diagrams, metastable states and applications to chemical reactions. For molecular solutions we derive the Dalton’s, Raoult’s and Henry’s laws, as well as the Van’t-Hoff’s law. Concepts of the non-equilibrium Statistical Mechanics and the Kinetics of phase transitions are overviewed.

Download or read book Statistical Mechanics of Phase Transitions written by J. M. Yeomans and published by Clarendon Press. This book was released on 1992-05-07 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to the physics which underlies phase transitions and to the theoretical techniques currently at our disposal for understanding them. It will be useful for advanced undergraduates, for post-graduate students undertaking research in related fields, and for established researchers in experimental physics, chemistry, and metallurgy as an exposition of current theoretical understanding. - ;Recent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered, and two chapters are devoted to the renormalization group, which led to a break-through in the field. The book will be useful as a textbook for a course in `Phase Transitions', as an introduction for graduate students undertaking research in related fields, and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist. - ;Introduction; Statistical mechanics and thermodynamics; Models; Mean-field theories; The transfer matrix; Series expansions; Monte Carlo simulations; The renormalization group; Implementations of the renormalization group. -

Download or read book Kinetics of Phase Transitions written by Sanjay Puri and published by CRC Press. This book was released on 2009-03-24 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a comprehensive introduction with the necessary background material to make it accessible for a wide scientific audience, Kinetics of Phase Transitions discusses developments in domain-growth kinetics. This book combines pedagogical chapters from leading experts in this area and focuses on incorporating various experimentally releva

Download or read book Lectures On Phase Transitions And The Renormalization Group written by Nigel Goldenfeld and published by CRC Press. This book was released on 2018-03-08 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.

Download or read book Equilibrium Statistical Physics written by M. Baus and published by Springer Science & Business Media. This book was released on 2007-11-15 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook which gradually introduces the student to the statistical mechanical study of the different phases of matter and to the phase transitions between them. Throughout, only simple models of both ordinary and soft matter are used but these are studied in full detail. The subject is developed in a pedagogical manner, starting from the basics, going from the simple ideal systems to the interacting systems, and ending with the more modern topics. The textbook provides the student with a complete overview, intentionally at an introductory level, of the theory of phase transitions. All equations and deductions are included.

Download or read book Theory of Phase Transitions written by Ya. G. Sinai and published by Elsevier. This book was released on 2014-05-20 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Phase Transitions: Rigorous Results is inspired by lectures on mathematical problems of statistical physics presented in the Mathematical Institute of the Hungarian Academy of Sciences, Budapest. The aim of the book is to expound a series of rigorous results about the theory of phase transitions. The book consists of four chapters, wherein the first chapter discusses the Hamiltonian, its symmetry group, and the limit Gibbs distributions corresponding to a given Hamiltonian. The second chapter studies the phase diagrams of lattice models that are considered at low temperatures. The notions of a ground state of a Hamiltonian and the stability of the set of the ground states of a Hamiltonian are also introduced. Chapter 3 presents the basic theorems about lattice models with continuous symmetry, and Chapter 4 focuses on the second-order phase transitions and on the theory of scaling probability distributions, connected to these phase transitions. Specialists in statistical physics and other related fields will greatly benefit from this publication.

Download or read book Computer Studies of Phase Transitions and Critical Phenomena written by Ole G. University of Southern Denmark and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on research carried out by the author in close collabora tion with a number of colleagues. In particular, I wish to thank Per Bak, A. John Berlinsky, Hans C. Fogedby, Barry Frank, S. 1. Knak Jensen, David Mukamel, David Pink, and Martin Zuckermann for fruitful and extremely stimulating cooperation. It is a pleasure for me to note that active interaction with most of these colleagues is still continuing. The work has been performed at several different institutions, notably the Department of Chemistry, Aarhus University, Denmark, and the Depart ment of Physics, University of British Columb~a, Canada. I wish to thank the Department of Chemistry at Aarhus University for providing me with splen did research facilities over the years. From May 1980 to August 1981, I visited the Department of Physics at the University of British Columbia and I would like to express my sincere gratitude to members ofthe department for provi ding me with excellent working conditions. My special thanks are due to Professor Myer Bloom who introduced me to the field of phase transitions in biological membranes and in whose biomembrane group I found an extre mely stimulating scientific atmosphere happily married with a most agreeable social climate. During the last two years when a major part ofthis work was carried out, I was supported by AlS De Danske Spritfabrikker through their Jubilreumsle gat of 1981. Their support is gratefully acknowledged.

Download or read book Thermodynamics of Finite Systems and the Kinetics of First Order Phase Transitions written by Juern Schmelzer and published by Vieweg+Teubner Verlag. This book was released on 2012-12-06 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This booklet is devoted to the thermodynamic and kinetic description of first-order phase transitions. In general, the matter of the world exists in different phases. Normally phase ctlanges take place in ther­ modynamic equilibrium, which will be considered here. Typically,the system is rapidly quenched from a one-phase thermal equilibrium state to a nonequilibrium situation. During the so-ca lIed equilibrium phase transformation process the quenched supersaturated system evolves from the nonequilibrium state to an equilibrium one which consists of two coexisting phases. In aseries of books on phase transitions and critical phenomena (DDMB, GREEN, lEBDWITZ, 1972 - 19B3) an immense amount of material to different aspects of ttlis topic is summarized. The other type of phase transitions takes place in systems far from equilibrium. Due to 'the nonequi1ibrium boundary conditions and the flu­ xes from the environment into the system the final state of this so­ called nonequilibrium phase transition is a stable nonequilibrium si­ tuation. Such interesting processes (e. g. pattern formation, multista­ bi1ity) do not appear only in physics but also in chemistry, meteorolo­ gy, biology and many areas of engineering. Concerning questions in this context we recommend the reader to the monographs by HAKEN (197B), and EBElING, FEISTEl (1982). An overview of the problems of recent interest in this field is given in the Proceedings of the Third International Conference on Irreversible Processes and Dissipative Structures, edited by EBElING and Ul8RICHT (1986).

Download or read book Phase Transitions in Materials written by Brent Fultz and published by Cambridge University Press. This book was released on 2014-08-14 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear, concise and rigorous textbook covering phase transitions in the context of advances in electronic structure and statistical mechanics.

Download or read book Kinetics of First Order Phase Transitions written by Vitaly V. Slezov and published by John Wiley & Sons. This book was released on 2009-07-10 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filling a gap in the literature, this crucial publication on the renowned Lifshitz-Slezov-Wagner Theory of first-order phase transitions is authored by one of the scientists who gave it its name. Prof Slezov spent decades analyzing this topic and obtained a number of results that form the cornerstone of this rapidly developing branch of science. Following an analysis of unresolved problems together with proposed solutions, the book develops a theoretical description of the overall course of first-order phase transformations, starting from the nucleation state right up to the late stages of coarsening. In so doing, the author illustrates the results by way of numerical computations and experimental applications. The outline of the general results is performed for segregation processes in solutions and the results used in the analysis of a variety of different topics, such as phase formation in multi-component solutions, boiling in one- and multi-component liquids, vacancy cluster evolution in solids with and without influence of radiation, as well as phase separation in helium at low temperatures. The result is a detailed overview of the theoretical description of the whole course of nucleation-growth processes and applications for a wide audience of scientists and students.

Download or read book Thermodynamics Statistical Physics and Kinetics written by I︠U︡riĭ Borisovich Rumer and published by . This book was released on 1980 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lectures on Statistical Physics and Protein Folding written by Kerson Huang and published by World Scientific. This book was released on 2005 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces an approach to protein folding from the point of view of kinetic theory. There is an abundance of data on protein folding, but few proposals are available on the mechanism driving the process. Here, presented for the first time, are suggestion on possible research directions, as developed by the author in collaboration with C. C. Lin. The first half of this invaluable book contains a concise but relatively complete review of relevant topics in statistical mechanics and kinetic theory. It includes standard topics such as thermodynamics, the Maxwell-Boltzmann distribution, and ensemble theory. Special discussions include the dynamics of phase transitions, and Brownian motion as an illustration of stochastic processes. The second half develops topics in molecular biology and protein structure, with a view to discovering mechanisms underlying protein folding. Attention is focused on the energy flow through the protein in its folded state. A mathematical model, based on the Brownian motion of coupled harmonic oscillators, is worked out in the appendix.

Download or read book Thermodynamics and Kinetics of Phase Transformations Volume 398 written by James S. Im and published by . This book was released on 1996-09-10 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emphasis of this book is on the quantitative analysis of transformation kinetics, integrated with thermodynamics. Solidification is a success story for quantitative kinetics analysis. The work reported concentrates on phase selection under extreme processing - large undercooling or ultrarapid quenching - of the liquid. Theoretical treatments are concerned mainly with the analysis of morphological instabilities during directional solidification at more conventional rates. The coverage of particle-beam effects is distinguished by the materials studied: alkali halides, minerals, semiconductors and metals. The thermodynamics of interfaces are a particular focus, especially in connection with the solid-state formation of amorphous phases. A highlight of the book is the coverage of the Johnson-Mehl-Avrami-Kolmogorov analysis of overall transformation kinetics. This venerable treatment is revisited and new insights and limitations are explored. Topics include: transformations in undercooled liquids; directional solidification; particle beam-induced transformations; interfaces - thermodynamics and reactions; amorphous materials - structure and transformations; solid-state transformations and ordering and phase separation.

Download or read book Phase transitions and critical phenomena 17 Statistical mechanics of driven diffusive systems written by [Anonymus AC01412183] and published by . This book was released on 1995 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Microcanonical Thermodynamics written by Dieter H. E. Gross and published by World Scientific. This book was released on 2001 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boltzmann''s formula S = In[ W (E) ] defines the microcanonical ensemble. The usual textbooks on statistical mechanics start with the microensemble but rather quickly switch to the canonical ensemble introduced by Gibbs. This has the main advantage of easier analytical calculations, but there is a price to pay OCo for example, phase transitions can only be defined in the thermodynamic limit of infinite system size. The question how phase transitions show up from systems with, say, 100 particles with an increasing number towards the bulk can only be answered when one finds a way to define and classify phase transitions in small systems. This is all possible within Boltzmann''s original definition of the microcanonical ensemble. Starting from Boltzmann''s formula, the book formulates the microcanonical thermodynamics entirely within the frame of mechanics. This way the thermodynamic limit is avoided and the formalism applies to small as well to other nonextensive systems like gravitational ones. Phase transitions of first order, continuous transitions, critical lines and multicritical points can be unambiguously defined by the curvature of the entropy S(E, N) . Special attention is given to the fragmentation of nuclei and atomic clusters as a peculiar phase transition of small systems controlled, among others, by angular momentum. The dependence of the liquid-gas transition of small atomic clusters under prescribed pressure is treated. Thus the analogue to the bulk transition can be studied. The book also describes the microcanonical statistics of the collapse of a self-gravitating system under large angular momentum. Contents: The Mechanical Basis of Thermodynamics; Micro-Canonical Thermodynamics of Phase Transitions Studied in the Potts Model; Liquid-Gas Transition and Surface Tension Under Constant Pressure; Statistical Fragmentation Under Repulsive Forces of Long Range; The Collapse Transition in Self-Gravitating Systems First Model-Studies; Appendices: On the Historical Development of Statistical Nuclear Multifragmentation Models; The Micro-Canonical Ensemble of Na-Clusters; Some General Technical Aspects of Micro-Canonical Monte Carlo Simulation on a Lattice. Readership: Advanced level graduate students, lecturers and researchers in statistical and condensed matter physics."

Download or read book Phase Transitions and Critical Phenomena written by Cyril Domb and published by . This book was released on 2001 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Phase Transitions and Critical Phenomena written by Cyril Domb and published by . This book was released on 1972 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results. As the ideas and techniques of critical phenomena have found new areas of application, the field has moved on from being of specialist interest, to occupy a central place in condensed matter studies. This text is part of a series which provides review articles that can serve as standard references for research workers in the field and for graduate students and others wishing to obtain reliable information in important recent developments.