Scale invariance : self-similarity of the physical world /

• Κύριος συγγραφέας: Henriksen, R. N. (Συγγραφέας)
• Μορφή: Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Weinheim, Germany : Wiley-VCH Verlag GmbH & Co. KGaA, 2015.
• Έκδοση: First edition.
• Θέματα: Scaling laws (Statistical physics); Self-similar processes.; Statistical mechanics.; SCIENCE > Energy.; SCIENCE > Mechanics > General.; SCIENCE > Physics > General.; Electronic books.

Πίνακας περιεχομένων:

• ""Cover
• Contents
• Preface
• Acknowledgments
• Introduction
• Chapter 1 Arbitrary Measures of the Physical World
• 1.1 Similarity
• 1.2 Dimensional Similarity
• 1.3 Physical Equations and the 'Pi' Theorem
• 1.4 Applications of the Pi Theorem ""
• ""1.4.1 Plane Pendulum
• 1.4.2 Pipe Flow of a Fluid
• 1.4.3 Steady Motion of a Rigid Object in Viscous 'Fluid'
• 1.4.4 Diffusion and Self-Similarity
• 1.4.5 Ship Wave Drag
• 1.4.6 Adiabatic Gas Flow
• 1.4.7 Time-Dependent Adiabatic Flow ""
• ""1.4.8 Point Explosion in a Gaseous Medium
• 1.4.9 Applications in Fundamental Physics
• 1.4.10 Drag on a Flexible Object in Steady Motion
• 1.4.11 Dimensional Analysis of Mammals
• 1.4.12 Trees
• References
• Chapter 2 Lie Groups and Scaling Symmetry ""
• ""2.1 The Rescaling Group
• 2.1.1 Rescaling Physical Objects
• 2.1.2 Reconciliation with the Buckingham Pi Theorem
• 2.1.3 Rescaling and Self-Similarity as a Lie Algebra
• 2.1.4 Practical Lie Self-Similarity
• 2.2 Familiar Physical Examples ""
• ""2.2.1 Line Vortex Diffusion: Reprise
• 2.2.2 Burgers' Equation
• 2.3 Less Familiar Examples
• 2.3.1 Self-Gravitating Collisionless Particles: The Boltzmann-Poisson Problem
• References
• Chapter 3 Poincaré Group Plus Rescaling Group
• 3.1 Galilean Space-Time
• 3.2 Minkowski Space-Time ""