Tag: Mechanics

Advanced Statistical Mechanics


Free Download Advanced Statistical Mechanics by Jian-sheng Wang
English | November 5, 2021 | ISBN: 9811242143 | 224 pages | MOBI | 20 Mb
This short textbook covers roughly 13 weeks of lectures on advanced statistical mechanics at the graduate level. It starts with an elementary introduction to the theory of ensembles from classical mechanics, and then goes on to quantum statistical mechanics with density matrix. These topics are covered concisely and briefly. The advanced topics cover the mean-field theory for phase transitions, the Ising models and their exact solutions, and critical phenomena and their scaling theory. The mean-field theories are discussed thoroughly with several different perspectives – focusing on a single degree, or using Feynman-Jensen-Bogoliubov inequality, cavity method, or Landau theory. The renormalization group theory is mentioned only briefly. As examples of computational and numerical approach, there is a chapter on Monte Carlo method including the cluster algorithms. The second half of the book studies nonequilibrium statistical mechanics, which includes the Brownian motion, the Langevin and Fokker-Planck equations, Boltzmann equation, linear response theory, and the Jarzynski equality. The book ends with a brief discussion of irreversibility. The topics are supplemented by problem sets (with partial answers) and supplementary readings up to the current research, such as heat transport with a Fokker-Planck approach.

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Quantum Mechanics A New Introduction


Free Download Quantum Mechanics: A New Introduction By Kenichi Konishi, Giampiero Paffuti
2009 | 800 Pages | ISBN: 0199560269 | PDF | 17 MB
This is a modern, and relatively comprehensive introductory textbook on Quantum Mechanics. It is intended to correct the lack of such a book today, in spite of the ever-increasing importance of the subject in contemporary science, technology, and everyday life. With its clear, pedagogical presentation, and with many examples discussed and problems solved both analytically or with numerical methods, the book is a unique and enjoyable textbook on Quantum Mechanics, useful for physics students, researchers and teachers alike.

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Multiscale Methods in Quantum Mechanics Theory and Experiment


Free Download Multiscale Methods in Quantum Mechanics: Theory and Experiment by Philippe Blanchard, Gianfausto Dell’Antonio
English | PDF | 2004 | 223 Pages | ISBN : 0817632565 | 21 MB
In the last few years, multiscale methods have lead to spectacular progress in our understanding of complex physical systems and have stimulated the development of very refined mathematical techniques. At the same time on the experimental side, equally spectacular progress has been made in developing experimental machinery and techniques to test the foundations of quantum mechanics. In view of this progress, this volume is very timely; it is the first text totally devoted to multiscale methods as applied to various areas of physics and to the relative developments in mathematics.

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Multiscale Buckling Modes in the Mechanics of Fiber-Reinforced Plastics


Free Download Multiscale Buckling Modes in the Mechanics of Fiber-Reinforced Plastics by Vitaly Paimushin , Andris K. Chate , Sergey Kholmogorov , Maksim Makarov , Ruslan Gazizullin
English | PDF EPUB (True) | 2024 | 175 Pages | ISBN : 3031482158 | 27.8 MB
This book is a useful source of knowledge for engineers and scientists in the field of mechanics of deformation and destruction of composite materials.

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Mathematical Aspects of Fluid Mechanics


Free Download James C. Robinson, "Mathematical Aspects of Fluid Mechanics "
English | ISBN: 1107609259 | 2012 | 276 pages | PDF | 12 MB
The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier-Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.

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Integrability and Nonintegrability in Geometry and Mechanics


Free Download Integrability and Nonintegrability in Geometry and Mechanics by A. T. Fomenko
English | PDF | 1988 | 358 Pages | ISBN : 9027728186 | 28.7 MB
Approach your problems from the right end It isn’t that they can’t see the solution. It is and begin with the answers. 1hen one day, that they can’t see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father ‘The Hermit Oad in Crane Feathers’ in R. Brown ‘The point of a Pin’ . * 1111 Oulik’. n. . Chi" *. * ~ Mm~ Mu,d. ", Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

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