Columnar Structures of Spheres

Jens Winkelmann, currently a data scientist, was a PhD student (2015-2019) at the Foams and Complex Systems research group of Trinity College Dublin (Ireland), under the supervision of Prof. Stefan Hutzler. He obtained his BSc and MSc, both in physics, from Technische Universität Dortmund (Gemany) in 2013 and 2015, respectively. Dr Winkelmann has published a good number of peer-reviewed articles on the packings of spheres in cylindrical confinementHo-Kei Chan (陈浩基) is an associate professor of physics (2016-present) at the Harbin Institute of Technology, Shenzhen (China). He obtained a 1st class BSc in engineering physics in 2002 from the Hong Kong Polytechnic University and a PhD in physics in 2007 from the University of Manchester (UK), followed by postdoctoral appointments at the Hong Kong Baptist University (China), Trinity College Dublin (Ireland), and the University of Nottingham (UK), respectively. As a soft-matter physicist, Dr Chan is generally interested in understanding how particles interact to form complex structures.

"The study of quasi-one-dimensional systems has undergone a renaissance of sort over the last decade. Novel computational and analytical tools have been developed and new soft-matter experimental systems have been investigated to enrich these findings. This book collates and reworks a series of reprints by the two authors and their coworkers that capture some of the most important advances in that field. The clear pedagogical effort of this book, supported by beautiful figures, is sure to stimulate further advances in this area."~Prof. Patrick Charbonneau, Duke University, USA"This monograph contains the joint research efforts of Winkelmann, Chan, and some of their colleagues on the packing problems of quasi-one-dimensional columnar structures. Based on the results from multiple numerical techniques, analytical calculations, and carefully designed experiments, some of the new advances in this field are beautifully presented. The materials are laid out in a very accessible and appealing way, which nonetheless does not diminish its scientific depth and value."~Prof. Yujie Wang, Shanghai Jiaotong University, China"This is the very first book addressing the topic of columnar packings of spheres, i.e., arrangements of spheres confined within a narrow cylindrical geometry. Using a comprehensive language, it encompasses the fundamentals of the problem with its applications in disciplines as diverse as botany and nanoscience."~Prof. Iker Zuriguel, University of Navarra, Spain"Winkelmann and Chan have thoroughly explained and beautifully illustrated the essence of packings in cylindrical confinement. Scientists, engineers, and artists alike will find this monograph fascinating, whether for the fundamentals of packing science or the elegance of aesthetic packing structures."~Prof. Zexin Zhang, Soochow University, China

• 1. An Introduction to Packing Problems 2. An Introduction to Columnar Structures 3. Models and Concepts for Columnar Structures 4. Packing by Sequential Deposition 5. Soft-Sphere Packings in Cylinders 6. Rotational Columnar Structures of Soft Spheres 7. Hard-Sphere Chains in a Cylindrical Harmonic Potential 8. Summary and Outlook Appendix A: Tabulated Hard-Sphere Results Appendix B: Minimization Routines Appendix C: Energies of (l,l,0) Structures