| Description |
1 online resource (215 p.) |
| Contents |
Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Preface -- Acknowledgements -- Chapter 1: An Introduction to Packing Problems -- 1.1: Packing Problems in Daily Life -- 1.2: Packing Problems in Physics -- 1.3: Computational Aproaches to Packing Problems -- 1.4: Random Packings of Particles -- 1.5: Applications in the Physical Sciences -- 1.6: Packing Problems as a Growing Research Field -- Chapter 2: An Introduction to Columnar Structures -- 2.1: A Friday-Afternoon Experiment: Packing Golf Balls into a Tube -- 2.2: What Are Columnar Structures? |
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3.3.2: What Is a Line-Slip Structure? -- 3.4: Densest Hard-Sphere Packings inside Cylinders -- 3.5: Simulation Techniques: Minimisation Algorithms -- 3.5.1: Local Minimisation Routines -- 3.5.2: Global Minimisation Routines -- Chapter 4: Packing of Hard Spheres by Sequential Deposition -- 4.1: Mathematical Description of Sequential Deposition -- 4.1.1: Equations for the Geometric Relation between Two Spheres in Contact -- 4.1.2: Surface Representation of a Single Sphere -- 4.1.3: Simultaneous Deposition of Spheres -- 4.1.4: Empirical Packing Fractions for an Infinitely Long Cylinder |
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4.2: Empirical Trials of Sequential Deposition -- 4.2.1: Successful Trial for a Densest Zigzag Structure -- 4.2.2: Successful Trial for a Densest Achiral Structure -- 4.2.3: Unsuccessful Trial for a Densest Single-Helix Structure -- 4.2.4: Successful Trial for a Densest Single-Helix Structure -- 4.3: Problem with a Flat Base at D > 2 -- 4.4: Sequential Deposition: The Packing Algorithm -- 4.4.1: Packing Algorithm for D ∈ [1,2) -- 4.4.2: Packing Algorithm for D ≥ 2 -- 4.5: Columnar Structures from Sequential Deposition -- 4.5.1: Examples of Structures at D = 2.35 |
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4.5.2: Examples of Structures at D = 2.25 -- 4.6: Conclusions -- Chapter 5: Soft-Sphere Packings in Cylinders -- 5.1: Introduction to Soft-Sphere Packings in Cylindrical Confinement -- 5.2: Simulations: Minimisation of Enthalpy H -- 5.3: Simulation and Observation of Line-Slip Structures in Soft-Sphere Packings -- 5.3.1: Phase Diagram of All Uniform and Line-Slip Structures without Internal Spheres -- 5.3.2: Structural Transitions in the Phase Diagram -- 5.3.3: Experimental Observation of Line-Slip Structures -- 5.4: Hysteresis and Metastability in Structural Transitions |
| Notes |
Description based upon print version of record |
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5.4.1: Enthalpy Curves at Constant Pressures for a Reversible Transition |
| Form |
Electronic book
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| Author |
Chan, Ho-Kei
|
| ISBN |
9780429533853 |
|
0429533853 |
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