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Author: 林忆莲

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Scale invariance : self-similarity of the physical world /

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Bibliographic Details
Main Authors: Henriksen, R. N
Corporate Authors: Wiley InterScience Online service
Published: Wiley-VCH Verlag GmbH & Co. KGaA,
Publisher Address: Weinheim, Germany :
Publication Dates: 2015.
Literature type: eBook
Language: English
Edition: First edition.
Subjects:
Scaling laws Statistical physics
Self-similar processes
Statistical mechanics
SCIENCE > Energy
SCIENCE > Mechanics > General
SCIENCE > Physics > General
Electronic books
Online Access: http://onlinelibrary.wiley.com/book/10.1002/9783527687343
Carrier Form: 1 online resource
Bibliography: Includes bibliographical references and index.
ISBN: 9783527687336
3527687335
9783527687343
3527687343
9783527687350
3527687351
9783527687367
352768736X
Index Number: QC174
CLC: O414.2
Contents: ""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 PoincarA Group Plus Rescaling Group""; ""3.1 Galilean Space-Time ""; ""3.2 Minkowski Space-Time ""

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