# Introduction to the Theory of Soft Matter

## From Ideal Gases to Liquid Crystals

Book

Part of the Soft and Biological Matter book series (SOBIMA)

1. Front Matter
Pages i-x
2. Jonathan V. Selinger
Pages 1-5
3. Jonathan V. Selinger
Pages 7-24
4. Jonathan V. Selinger
Pages 25-49
5. Jonathan V. Selinger
Pages 51-62
6. Jonathan V. Selinger
Pages 63-72
7. Jonathan V. Selinger
Pages 73-82
8. Jonathan V. Selinger
Pages 83-89
9. Jonathan V. Selinger
Pages 91-110
10. Jonathan V. Selinger
Pages 111-130
11. Jonathan V. Selinger
Pages 131-182
12. Back Matter
Pages 183-185

### Introduction

This book presents the theory of soft matter to students at the advanced undergraduate or beginning graduate level. It provides a basic introduction to theoretical physics as applied to soft matter, explaining the concepts of symmetry, broken symmetry, and order parameters; phases and phase transitions; mean-field theory; and the mathematics of variational calculus and tensors. It is written in an informal, conversational style, which is accessible to students from a diverse range of backgrounds. The book begins with a simple “toy model” to demonstrate the physical significance of free energy. It then introduces two standard theories of phase transitions—the Ising model for ferromagnetism and van der Waals theory of gases and liquids—and uses them to illustrate principles of statistical mechanics. From those examples, it moves on to discuss order, disorder, and broken symmetry in many states of matter, and to explain the theoretical methods that are used to model the phenomena. It concludes with a chapter on liquid crystals, which brings together all of these physical and mathematical concepts. The book is accompanied by a set of “interactive figures,” which allow online readers to change parameters and see what happens to a graph, some allow users to rotate a plot or other graphics in 3D, and some do both. These interactive figures help students to develop their intuition for the physical meaning of equations. This book will prepare advanced undergraduate or early graduate students to go into more advanced theoretical studies. It will also equip students going into experimental soft matter science to be fully conversant with the theoretical aspects and have effective collaborations with theorists.

### Keywords

Dynamics of phase transitions Gas-liquid transition Glass transition Mathematical and theoretical methods for soft matter Order transitions in liquid crystals Order, disorder and symmetry in soft matter Soft condensed matter textbook Theory of phase transitions

#### Authors and affiliations

1. 1.Liquid Crystal Inst, Kent State UniversiChemical Physics Interdisciplinary ProgrKentUSA

Jonathan Selinger is Professor of Chemical Physics and Ohio Eminent Scholar at Kent State's Liquid Crystal Institute. His research focuses on the theory of liquid crystals, nanoparticle suspensions, and related topics in soft materials and seeks to make connections between fundamental statistical mechanics and technological applications.

Selinger studied physics at Harvard University, receiving his A.B. in 1983 and Ph.D. in 1989. He then did postdoctoral research in Los Angeles, with positions at the UCLA Department of Physics and Caltech Department of Chemical Engineering. In 1992 he moved to the Naval Research Laboratory in Washington, DC, where he worked as a Research Physicist in the Center for Bio/Molecular Science and Engineering. In 2005 he came to his current position at Kent State. In addition to these research and teaching positions, he has also served as Associate Editor of Physical Review E, responsible for the liquid-crystal section of the journal.

### Bibliographic information

• Book Title Introduction to the Theory of Soft Matter
• Book Subtitle From Ideal Gases to Liquid Crystals
• Authors Jonathan V. Selinger
• Series Title Soft and Biological Matter
• Series Abbreviated Title Soft and Biological Matter
• DOI https://doi.org/10.1007/978-3-319-21054-4
• Copyright Information Springer International Publishing Switzerland 2016
• Publisher Name Springer, Cham
• eBook Packages Physics and Astronomy Physics and Astronomy (R0)
• Hardcover ISBN 978-3-319-21053-7
• Softcover ISBN 978-3-319-37057-6
• eBook ISBN 978-3-319-21054-4
• Series ISSN 2213-1736
• Series E-ISSN 2213-1744
• Edition Number 1
• Number of Pages X, 185
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
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## Reviews

“Selinger’s book is clearly an excellent, well-written introduction to the phenomenology and concepts of soft matter physics. I enjoyed reading it and can but recommend it to students of theoretical physics with an interest in pursuing this research direction, or to those that would need a good background to the contemporary research literature … . recommended this book to my graduate students with the path to theoretical soft matter physics in mind, as the first that they should read.” (Rudolf Podgornik, Liquid Crystals Today, Vol. 26 (2), April, 2017)

“Introduction to the Theory of Soft Matter: From Ideal Gases to Liquid Crystals, presents students with many of the key methods and principles of condensed-matter theory that have been valuable for understanding and engineering soft matter, with a particular focus on the theory of liquid crystals. … It will be a valuable asset for students and junior researchers who are in a growing interdisciplinary field and are looking for an approachable yet rigorous introduction to many of its cornerstone principles.” (Greg Grason, Physics Today, scitation.aip.com, November, 2016)