A Student's Guide to the Ising Model
Series: Student's Guides;
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Product details:
- Publisher Cambridge University Press
- Date of Publication 25 May 2023
- ISBN 9781009098519
- Binding Hardback
- No. of pages226 pages
- Size 235x158x17 mm
- Weight 470 g
- Language English 456
Categories
Short description:
A focused and accessible guide to the Ising model, a mathematical framework used to describe ferromagnetism, with exercises included.
MoreLong description:
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.
MoreTable 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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