Overview
- Provides a unique pedagogical approach to statistical physics with a focus on phase transitions
- Cover modern topics such as a topological defects and topological phase transitions
- Includes all important derivations and mathematical tools in six appendices
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Table of contents (13 chapters)
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Basics
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Ideal Systems
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Non-ideal Systems
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More Advanced Topics
Keywords
- Statistical Mechanics of Phase Transitions
- Topological Defects
- Topological Phase Transitions
- 3D Nematic Liquid Crystals
- Planar Spin Systems
- 2D Spin Systems
- 2D Coulomb Plasmas
- n-Dimensional Gaussian Fluctuations
- Helmholtz Decomposition
- Kosterlitz-Thouless Transition
- Pair Correlation Function
- Nanomaterial
About this book
This textbook gradually introduces students to the statistical mechanical study of the different phases of matter and to the phase transitions between them. It uses simple yet fully detailed models of both hard and soft matter systems to demonstrate core concepts, developing the subject matter in a thorough and accessible pedagogical manner throughout. Starting from an introduction to basic thermodynamics and statistical physics, the book progresses from ideal, non-interacting systems to real systems exhibiting classical interactions and phase transitions. It concludes with a selection of more advanced topics, such as the renormalisation group approach to critical phenomena, the density functional theory of interfaces, and kinematic aspects of the phase transformation process.
This updated second edition features a considerably expanded study of the topology of the phases, including applications to modern problems such as topological defects of nematic liquid crystals and the topological phase transition of a two-dimensional spin system. Along with a complete introductory overview of the theory of phase transitions, this textbook provides students with ample material for deeper study. References include suggestions for more detailed treatments and six appendices supply overviews of the mathematical tools employed in the text.
Authors and Affiliations
About the authors
Carlos F. Tejero has been professor of thermodynamics and statistical physics at the Facultad de Ciencias Fisicas of the Universidad Complutense de Madrid in Spain. As Investigador Principal he has directed various investigations in the field of phases of matter and soft matter.
Both authors have collaborated for more than thirty years.
Bibliographic Information
Book Title: Equilibrium Statistical Physics
Book Subtitle: Phases, Phase Transitions, and Topological Phases
Authors: Marc Baus, Carlos F. Tejero
DOI: https://doi.org/10.1007/978-3-030-75432-7
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-75431-0Published: 05 June 2021
Softcover ISBN: 978-3-030-75434-1Published: 06 June 2022
eBook ISBN: 978-3-030-75432-7Published: 04 June 2021
Edition Number: 2
Number of Pages: XVI, 437
Number of Illustrations: 117 b/w illustrations, 2 illustrations in colour
Topics: Theoretical, Mathematical and Computational Physics, Condensed Matter Physics, Materials Science, general, Complex Systems