Fundamental Problems In Statistical Mechanics V
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| Author | : D.A.R Dalvit |
| Publisher | : CRC Press |
| Total Pages | : 784 |
| Release | : 1999-01-01 |
| Genre | : Science |
| ISBN | : 9781420050875 |
A thorough understanding of statistical mechanics depends strongly on the insights and manipulative skills that are acquired through the solving of problems. Problems on Statistical Mechanics provides over 120 problems with model solutions, illustrating both basic principles and applications that range from solid-state physics to cosmology. An introductory chapter provides a summary of the basic concepts and results that are needed to tackle the problems, and also serves to establish the notation that is used throughout the book. The problems themselves occupy five chapters, progressing from the simpler aspects of thermodynamics and equilibrium statistical ensembles to the more challenging ideas associated with strongly interacting systems and nonequilibrium processes. Comprehensive solutions to all of the problems are designed to illustrate efficient and elegant problem-solving techniques. Where appropriate, the authors incorporate extended discussions of the points of principle that arise in the course of the solutions. The appendix provides useful mathematical formulae.
| Author | : H. Van Beijeren |
| Publisher | : Elsevier |
| Total Pages | : 316 |
| Release | : 2016-04-20 |
| Genre | : Science |
| ISBN | : 1483290336 |
In keeping with the tradition of previous summer schools on fundamental problems in statistical mechanics, this book contains in depth treatemnts of topics of current interest in statistical mechanics and closely related fields. The topics covered include: dynamical impurity problems, quantum phase transitions, vortex liquids and glasses, quasicrystals and related aperiodic structures, pattern formation, turbulence, exactly solvable models, polymers, phase transitions in colloids, interfaces and two-dimensional gravity.
| Author | : E. G. D. Cohen |
| Publisher | : North Holland |
| Total Pages | : 408 |
| Release | : 1980 |
| Genre | : Statistical mechanics |
| ISBN | : |
| Author | : Robert Zwanzig |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 233 |
| Release | : 2001-05-17 |
| Genre | : Science |
| ISBN | : 0195140184 |
This is a presentation of the main ideas and methods of modern nonequilibrium statistical mechanics. It is the perfect introduction for anyone in chemistry or physics who needs an update or background in this time-dependent field. Topics covered include fluctuation-dissipation theorem; linear response theory; time correlation functions, and projection operators. Theoretical models are illustrated by real-world examples and numerous applications such as chemical reaction rates and spectral line shapes are covered. The mathematical treatments are detailed and easily understandable and the appendices include useful mathematical methods like the Laplace transforms, Gaussian random variables and phenomenological transport equations.
| Author | : O. Penrose |
| Publisher | : Elsevier |
| Total Pages | : 272 |
| Release | : 2016-09-21 |
| Genre | : Science |
| ISBN | : 1483156486 |
International Series of Monographs in Natural Philosophy, Volume 22: Foundations of Statistical Mechanics: A Deductive Treatment presents the main approaches to the basic problems of statistical mechanics. This book examines the theory that provides explicit recognition to the limitations on one's powers of observation. Organized into six chapters, this volume begins with an overview of the main physical assumptions and their idealization in the form of postulates. This text then examines the consequences of these postulates that culminate in a derivation of the fundamental formula for calculating probabilities in terms of dynamic quantities. Other chapters provide a careful analysis of the significant notion of entropy, which shows the links between thermodynamics and statistical mechanics and also between communication theory and statistical mechanics. The final chapter deals with the thermodynamic concept of entropy. This book is intended to be suitable for students of theoretical physics. Probability theorists, statisticians, and philosophers will also find this book useful.
| Author | : Ryogo Kubo |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1967 |
| Genre | : |
| ISBN | : |
| Author | : V. Balakrishnan |
| Publisher | : Springer |
| Total Pages | : 314 |
| Release | : 2021-12-05 |
| Genre | : Science |
| ISBN | : 9783030622350 |
This book deals with the basic principles and techniques of nonequilibrium statistical mechanics. The importance of this subject is growing rapidly in view of the advances being made, both experimentally and theoretically, in statistical physics, chemical physics, biological physics, complex systems and several other areas. The presentation of topics is quite self-contained, and the choice of topics enables the student to form a coherent picture of the subject. The approach is unique in that classical mechanical formulation takes center stage. The book is of particular interest to advanced undergraduate and graduate students in engineering departments.
| Author | : Yung-Kuo Lim |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 420 |
| Release | : 1990-02-01 |
| Genre | : Science |
| ISBN | : 9813103736 |
The material for these volumes has been selected from the past twenty years' examination questions for graduate students at University of California at Berkeley, Columbia University, the University of Chicago, MIT, State University of New York at Buffalo, Princeton University and University of Wisconsin.
| Author | : Mehran Kardar |
| Publisher | : Cambridge University Press |
| Total Pages | : 211 |
| Release | : 2007-06-07 |
| Genre | : Science |
| ISBN | : 1139464876 |
Statistical physics has its origins in attempts to describe the thermal properties of matter in terms of its constituent particles, and has played a fundamental role in the development of quantum mechanics. Based on lectures taught by Professor Kardar at MIT, this textbook introduces the central concepts and tools of statistical physics. It contains a chapter on probability and related issues such as the central limit theorem and information theory, and covers interacting particles, with an extensive description of the van der Waals equation and its derivation by mean field approximation. It also contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set of solutions is available to lecturers on a password protected website at www.cambridge.org/9780521873420. A companion volume, Statistical Physics of Fields, discusses non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group.
| Author | : Henk Beijeren |
| Publisher | : North Holland |
| Total Pages | : 324 |
| Release | : 1994 |
| Genre | : Science |
| ISBN | : 9780444815910 |
In keeping with the tradition of previous summer schools on fundamental problems in statistical mechanics, this book contains in depth treatemnts of topics of current interest in statistical mechanics and closely related fields. The topics covered include: dynamical impurity problems, quantum phase transitions, vortex liquids and glasses, quasicrystals and related aperiodic structures, pattern formation, turbulence, exactly solvable models, polymers, phase transitions in colloids, interfaces and two-dimensional gravity.
