Fundamental Problems In Statistical Mechanics
Download Fundamental Problems In Statistical Mechanics full books in PDF, epub, and Kindle. Read online free Fundamental Problems In Statistical Mechanics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| 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 | : Franz Schwabl |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 586 |
| Release | : 2013-03-09 |
| Genre | : Science |
| ISBN | : 3662047020 |
This unique and consistent mathematical treatise contains a deductive description of equilibrium statistics and thermodynamics. The most important elements of non-equilibrium phenomena are also treated. In addition to the fundamentals, the text tries to show how large the area of statistical mechanics is and how many applications can be found here. Modern areas such as renormalization group theory, percolation, stochastic equations of motion and their applications in critical dynamics, as well as fundamental thoughts of irreversibility are discussed. The text will be useful for advanced students in physics and other sciences who have profound knowledge of quantum mechanics.
| Author | : Aleksandr I?Akovlevich Khinchin |
| Publisher | : Courier Corporation |
| Total Pages | : 212 |
| Release | : 1949-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780486601472 |
Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.
| 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 | : Teunis C Dorlas |
| Publisher | : CRC Press |
| Total Pages | : 344 |
| Release | : 2021-04-15 |
| Genre | : Science |
| ISBN | : 1000375846 |
Statistical Mechanics: Fundamentals and Model Solutions, Second Edition Fully updated throughout and with new chapters on the Mayer expansion for classical gases and on cluster expansion for lattice models, this new edition of Statistical Mechanics: Fundamentals and Model Solutions provides a comprehensive introduction to equilibrium statistical mechanics for advanced undergraduate and graduate students of mathematics and physics. The author presents a fresh approach to the subject, setting out the basic assumptions clearly and emphasizing the importance of the thermodynamic limit and the role of convexity. With problems and solutions, the book clearly explains the role of models for physical systems, and discusses and solves various models. An understanding of these models is of increasing importance as they have proved to have applications in many areas of mathematics and physics. Features Updated throughout with new content from the field An established and well-loved textbook Contains new problems and solutions for further learning opportunity Author Professor Teunis C. Dorlas is at the Dublin Institute for Advanced Studies, Ireland.
| 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.
| Author | : Lawrence Sklar |
| Publisher | : Cambridge University Press |
| Total Pages | : 458 |
| Release | : 1993 |
| Genre | : Philosophy |
| ISBN | : 9780521558815 |
Lawrence Sklar offers a comprehensive, non-technical introduction to statistical mechanics and attempts to understand its foundational elements.
| Author | : Gerhard Ernst |
| Publisher | : Cambridge University Press |
| Total Pages | : 219 |
| Release | : 2010-01-21 |
| Genre | : Science |
| ISBN | : 1139485431 |
Statistical mechanics attempts to explain the behaviour of macroscopic physical systems in terms of the mechanical properties of their constituents. Although it is one of the fundamental theories of physics, it has received little attention from philosophers of science. Nevertheless, it raises philosophical questions of fundamental importance on the nature of time, chance and reduction. Most philosophical issues in this domain relate to the question of the reduction of thermodynamics to statistical mechanics. This book addresses issues inherent in this reduction: the time-asymmetry of thermodynamics and its absence in statistical mechanics; the role and essential nature of chance and probability in this reduction when thermodynamics is non-probabilistic; and how, if at all, the reduction is possible. Compiling contributions on current research by experts in the field, this is an invaluable survey of the philosophy of statistical mechanics for academic researchers and graduate students interested in the foundations of physics.
| 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 | : Swee Cheng Lim |
| Publisher | : World Scientific |
| Total Pages | : 711 |
| Release | : 2020-06-22 |
| Genre | : Science |
| ISBN | : 9811213429 |
This volume is a compilation of carefully selected questions at the PhD qualifying exam level, including many actual questions from Columbia University, University of Chicago, MIT, State University of New York at Buffalo, Princeton University, University of Wisconsin and the University of California at Berkeley over a twenty-year period. Topics covered in this book include dynamics of systems of point masses, rigid bodies and deformable bodies, Lagrange's and Hamilton's equations, and special relativity.This latest edition has been updated with more problems and solutions and the original problems have also been modernized, excluding outdated questions and emphasizing those that rely on calculations. The problems range from fundamental to advanced in a wide range of topics on mechanics, easily enhancing the student's knowledge through workable exercises. Simple-to-solve problems play a useful role as a first check of the student's level of knowledge whereas difficult problems will challenge the student's capacity on finding the solutions.
