04034nam 2200637 450 991082880690332120230807214315.03-527-68735-13-527-68734-33-527-68733-5(CKB)3710000000387704(EBL)3059093(OCoLC)922955094(SSID)ssj0001496566(PQKBManifestationID)11850747(PQKBTitleCode)TC0001496566(PQKBWorkID)11484885(PQKB)10007370(MiAaPQ)EBC3059093(Au-PeEL)EBL3059093(CaPaEBR)ebr11041409(CaONFJC)MIL769771(EXLCZ)99371000000038770420150416h20152015 uy 0engur|n|---|||||txtccrScale invariance self-similarity of the physical world /Richard N. HenriksenWeinheim, Germany :Wiley-VCH,2015.©20151 online resource (301 p.)Description based upon print version of record.3-527-41335-9 Includes bibliographical references at the end of each chapters and index.""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 """"3.2.1 Self-Similar Lorentz Boost ""Scaling laws (Statistical physics)Self-similar processesStatistical mechanicsScaling laws (Statistical physics)Self-similar processes.Statistical mechanics.530.1595Henriksen R. N.857889MiAaPQMiAaPQMiAaPQBOOK9910828806903321Scale invariance3972462UNINA