A Students Guide To The Ising Model
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Author | : James S. Walker |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2023-05-25 |
Genre | : Science |
ISBN | : 9781009096300 |
The Ising model provides a detailed mathematical description of ferromagnetism and is widely used in statistical physics and condensed matter physics. In this Student's Guide, the author demystifies the mathematical framework of the Ising model and provides students with a clear understanding of both its physical significance, and how to apply it successfully in their calculations. Key topics related to the Ising model are covered, including exact solutions of both finite and infinite systems, series expansions about high and low temperatures, mean-field approximation methods, and renormalization-group calculations. The book also incorporates plots, figures, and tables to highlight the significance of the results. Designed as a supplementary resource for undergraduate and graduate students, each chapter includes a selection of exercises intended to reinforce and extend important concepts, and solutions are also available for all exercises.
Author | : James S. Walker |
Publisher | : Cambridge University Press |
Total Pages | : 226 |
Release | : 2023-04-30 |
Genre | : Science |
ISBN | : 1009115510 |
The Ising model provides a detailed mathematical description of ferromagnetism and is widely used in statistical physics and condensed matter physics. In this Student's Guide, the author demystifies the mathematical framework of the Ising model and provides students with a clear understanding of both its physical significance, and how to apply it successfully in their calculations. Key topics related to the Ising model are covered, including exact solutions of both finite and infinite systems, series expansions about high and low temperatures, mean-field approximation methods, and renormalization-group calculations. The book also incorporates plots, figures, and tables to highlight the significance of the results. Designed as a supplementary resource for undergraduate and graduate students, each chapter includes a selection of exercises intended to reinforce and extend important concepts, and solutions are also available for all exercises.
Author | : Effrosyni Seitaridou |
Publisher | : Cambridge University Press |
Total Pages | : 184 |
Release | : 2023-07-31 |
Genre | : Science |
ISBN | : 1009213318 |
Rotational motion is of fundamental importance in physics and engineering, and an essential topic for undergraduates to master. This accessible yet rigorous Student's Guide focuses on the underlying principles of rotational dynamics, providing the reader with an intuitive understanding of the physical concepts, and a firm grasp of the mathematics. Key concepts covered include torque, moment of inertia, angular momentum, work and energy, and the combination of translational and rotational motion. Each chapter presents one important aspect of the topic, with derivations and analysis of the fundamental equations supported by step-by-step examples and exercises demonstrating important applications. Much of the book is focused on scenarios in which point masses and rigid bodies rotate around fixed axes, while more advanced examples of rotational motion, including gyroscopic motion, are introduced in a final chapter.
Author | : Barry M. McCoy |
Publisher | : Courier Corporation |
Total Pages | : 484 |
Release | : 2014-03-05 |
Genre | : Science |
ISBN | : 048678312X |
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 | : Sacha Friedli |
Publisher | : Cambridge University Press |
Total Pages | : 643 |
Release | : 2017-11-23 |
Genre | : Mathematics |
ISBN | : 1107184827 |
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Author | : Rodney J. Baxter |
Publisher | : Elsevier |
Total Pages | : 499 |
Release | : 2016-06-12 |
Genre | : Science |
ISBN | : 1483265943 |
Exactly Solved Models in Statistical Mechanics
Author | : David P. Landau |
Publisher | : Cambridge University Press |
Total Pages | : 456 |
Release | : 2005-09 |
Genre | : Computers |
ISBN | : 9780521842389 |
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 | : Lawrence Schulman |
Publisher | : Oxford University Press |
Total Pages | : 288 |
Release | : 2021-12-06 |
Genre | : Science |
ISBN | : 019260645X |
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 | : Daniel Greenberger |
Publisher | : Springer Science & Business Media |
Total Pages | : 901 |
Release | : 2009-07-25 |
Genre | : Science |
ISBN | : 3540706267 |
With contributions by leading quantum physicists, philosophers and historians, this comprehensive A-to-Z of quantum physics provides a lucid understanding of key concepts of quantum theory and experiment. It covers technical and interpretational aspects alike, and includes both traditional and new concepts, making it an indispensable resource for concise, up-to-date information about the many facets of quantum physics.
Author | : K. U. Ingard |
Publisher | : Cambridge University Press |
Total Pages | : 570 |
Release | : 1988-07-28 |
Genre | : Science |
ISBN | : 9780521327343 |
This is a complete introduction to the theory of waves and oscillations as encountered by physics and engineering students. It discusses both the mathematical theory and the physics of phenomena such as waves in fluids, electromagnetic waves, and discrete coupled oscillators in mechanics and electronics. The author gives a description of the mathematics of complex amplitudes and introduces forced and free oscillations and normal modes of resonance. Chapters cover wave guides, barrier penetration, and electromagnetic transmission. One section, devoted solely to surface waves, includes a discussion on light scattering and the determination of surface tension and viscosity, plasma oscillations, and feedback oscillations. Ideas and equations are displayed for easy reference, and sets of exercises follow each chapter.