A Students Guide To The Ising Model PDF Download
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Author | : James S. Walker |
Publisher | : Cambridge University Press |
Total Pages | : 225 |
Release | : 2023-04-30 |
Genre | : Science |
ISBN | : 1009098519 |
Download A Student's Guide to the Ising Model Book in PDF, ePub and Kindle
A focused and accessible guide to the Ising model, a mathematical framework used to describe ferromagnetism, with exercises included.
Author | : Daniel C Mattis |
Publisher | : World Scientific Publishing Company |
Total Pages | : 268 |
Release | : 2003-04-08 |
Genre | : |
ISBN | : 9813106050 |
Download Statistical Mechanics Made Simple Book in PDF, ePub and Kindle
This book is an elaboration of the author's lecture notes in a graduate course in statistical physics and thermodynamics, augmented by some material suitable for self-teaching as well as for undergraduate study. The first 4 or 5 chapters are suitable for an undergraduate course for engineers and physicists in Thermodynamics and Statistical Physics and include detailed study of the various ensembles and their connections to applied thermodynamics. The Debye law of specific heats and reasons for deviations from the Debye formulas are covered, as are the Einstein theories of Brownian motion, black-body radiation and specific heat of solids. Van der Waals gases and the reason for the apparent failure of his Law of Corresponding States are discussed. The last 5 chapters treat topics of recent interest to researchers, including: the Ising and Potts models, spin waves in ferromagnetic and anti-ferromagnetic media, sound propagation in non-ideal gases and the decay of sound waves, introduction to the understanding of glasses and spin glasses, superfluidity and superconductivity. The selection of material is wide-ranging and the mathematics for handling it completely self-contained, ranging from counting (probability theory) to quantum field theory as used in the study of fermions, bosons and as an adjunct in the solutions of the equations of classical diffusion-reaction theory. In addition to the standard material found in most recent books on statistical physics the constellation of topics covered in this text includes numerous original items: • Generalization of “negative temperature” to interacting spins • Derivation of Gibbs' factor from first principles • Exact free energy of interacting particles in 1D (e.g., classical and quantum Tonk's gas) • Introduction to virial expansions, Equations of State, Correlation Functions and “critical exponents” • Superfluidity in ideal and non-ideal fluids (both Bogolubov and Feynman theories) • Superconductivity: thermodynamical approach and the BCS theory • Derivation of “Central Limit Theorem” and its applications • Boltzmann's “H-Theorem” and the nonlinear Boltzmann equation • Exact solution of nonlinear Boltzmann Equation for electrons in time-dependent electric field and the derivation of Joule heating, transport parameters in crossed electric and magnetic fields, etc. • Frequency spectrum and decay of sound waves in gases • Exact evaluation of free energy and thermodynamic properties of the two-dimensional Ising model in regular and fully frustrated (spin-glass like) lattices • The “zipper” model of crystal fracture or polymer coagulation — calculation of Tc • Potts model in 2D: duality and Tc • “Doi's theory” of diffusion-limited chemical reactions with some exact results — including the evaluation of statistical fluctuations in radioactive decay • Thermodynamic Green Functions and their applications to fermions and bosons with an example drawn from random matrix theory and much more.
Author | : Barry M. McCoy |
Publisher | : Courier Corporation |
Total Pages | : 480 |
Release | : 2014-03-05 |
Genre | : Science |
ISBN | : 048678312X |
Download The Two-Dimensional Ising Model Book in PDF, ePub and Kindle
Originally published in 1973, this is the definitive book on the Ising model, a mathematical model of ferromagnetism in statistical mechanics. This updated edition of the classic text features an extensive section on new developments.
Author | : David P. Landau |
Publisher | : Cambridge University Press |
Total Pages | : 456 |
Release | : 2005-09 |
Genre | : Computers |
ISBN | : 9780521842389 |
Download A Guide to Monte Carlo Simulations in Statistical Physics Book in PDF, ePub and Kindle
This updated edition deals with the Monte Carlo simulation of complex physical systems encountered in condensed-matter physics, statistical mechanics, and related fields. It contains many applications, examples, and exercises to help the reader. It is an excellent guide for graduate students and researchers who use computer simulations in their research.
Author | : Sacha Friedli |
Publisher | : Cambridge University Press |
Total Pages | : 643 |
Release | : 2017-11-23 |
Genre | : Mathematics |
ISBN | : 1107184827 |
Download Statistical Mechanics of Lattice Systems Book in PDF, ePub and Kindle
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Author | : David P. Landau |
Publisher | : Cambridge University Press |
Total Pages | : 402 |
Release | : 2000-08-17 |
Genre | : Mathematics |
ISBN | : 9780521653664 |
Download A Guide to Monte Carlo Simulations in Statistical Physics Book in PDF, ePub and Kindle
This book describes all aspects of Monte Carlo simulation of complex physical systems encountered in condensed-matter physics and statistical mechanics, as well as in related fields, such as polymer science and lattice gauge theory. The authors give a succinct overview of simple sampling methods and develop the importance sampling method. In addition they introduce quantum Monte Carlo methods, aspects of simulations of growth phenomena and other systems far from equilibrium, and the Monte Carlo Renormalization Group approach to critical phenomena. The book includes many applications, examples, and current references, and exercises to help the reader.
Author | : Daniel Fleisch |
Publisher | : Cambridge University Press |
Total Pages | : 129 |
Release | : 2008-01-10 |
Genre | : Science |
ISBN | : 1139468472 |
Download A Student's Guide to Maxwell's Equations Book in PDF, ePub and Kindle
Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.
Author | : Sanjoy Mahajan |
Publisher | : Cambridge University Press |
Total Pages | : 215 |
Release | : 2020-06-18 |
Genre | : Science |
ISBN | : 1108471145 |
Download A Student's Guide to Newton's Laws of Motion Book in PDF, ePub and Kindle
Master Newton's laws of motion, the basis of modern science and engineering, with this intuitive and accessible text.
Author | : Lawrence Schulman |
Publisher | : Oxford University Press |
Total Pages | : 288 |
Release | : 2021-12-06 |
Genre | : Science |
ISBN | : 019260645X |
Download When Things Grow Many Book in PDF, ePub and Kindle
Aimed at advanced undergraduates and graduate students, When Things Grow Many is an accessible and engaging textbook introducing the theory of statistical mechanics, as well as its fascinating real-world applications. The book's original approach, which covers interdisciplinary applications of statistical mechanics to a wide range of subjects, including chemistry, biology, linguistics, economics, sociology and more, is bound to appeal to a wide audience. While the first part of the book introduces the various methods of statistical physics, including complexity, emergence, universality, self-organized criticality, power laws and other timely topics, the final sections focus on specific relevance of these methods to the social, biological and physical sciences. The mathematical content is woven throughout the book in the form of equations, as well as further background and explanations being provided in footnotes and appendices.
Author | : G. Mussardo |
Publisher | : Oxford University Press, USA |
Total Pages | : 778 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 0199547580 |
Download Statistical Field Theory Book in PDF, ePub and Kindle
A thorough and pedagogical introduction to phase transitions and exactly solved models in statistical physics and quantum field theory.