A Student's Guide to the Ising Model
Part of Student's Guides
- Author: James S. Walker, Washington State University (emeritus)
- Date Published: May 2023
- availability: Available
- format: Paperback
- isbn: 9781009096300
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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.
Read more- Brings together content on an important topic that is otherwise scattered across various graduate texts and research papers
- Introduces students to the Nobel-prize winning techniques of the renormalization group
- Explores features of the Ising model that illustrate the deep connections between thermodynamics and statistical mechanics
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×Product details
- Date Published: May 2023
- format: Paperback
- isbn: 9781009096300
- length: 193 pages
- dimensions: 228 x 151 x 12 mm
- weight: 0.33kg
- availability: Available
Table of Contents
1. The Ising model
2. Finite Ising systems
3. Partial summations and effective interactions
4. Infinite Ising systems in one dimension
5. The Onsager solution and exact series expansions
6. The mean-field approach
7. Position-space renormalization-group techniques
Index.-
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