Download Full eBooks in PDF
Scaling And Self Similarity In Physics Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Scaling And Self Similarity In Physics book. This book definitely worth reading, it is an incredibly well-written.
Author : FRÖHLICH
Publisher : Springer Science & Business Media
Page : 434 pages
File Size : 43,6 Mb
Release : 2013-12-14
Category : Science
ISBN : 9781489967626
Author : J. Frohlich
Publisher : Unknown
Page : 440 pages
File Size : 55,7 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 148996763X
Author : G. I. Barenblatt
Publisher : Cambridge University Press
Page : 412 pages
File Size : 40,9 Mb
Release : 1996-12-12
Category : Mathematics
ISBN : 0521435226
Scaling laws reveal the fundamental property of phenomena, namely self-similarity - repeating in time and/or space - which substantially simplifies the mathematical modelling of the phenomena themselves. This book begins from a non-traditional exposition of dimensional analysis, physical similarity theory, and general theory of scaling phenomena, using classical examples to demonstrate that the onset of scaling is not until the influence of initial and/or boundary conditions has disappeared but when the system is still far from equilibrium. Numerous examples from a diverse range of fields, including theoretical biology, fracture mechanics, atmospheric and oceanic phenomena, and flame propagation, are presented for which the ideas of scaling, intermediate asymptotics, self-similarity, and renormalisation were of decisive value in modelling.
Author : Richard N. Henriksen
Publisher : John Wiley & Sons
Page : 304 pages
File Size : 54,6 Mb
Release : 2015-04-23
Category : Science
ISBN : 9783527687350
Bringing the concepts of dimensional analysis, self-similarity, and fractal dimensions together in a logical and self-contained manner, this book reveals the close links between modern theoretical physics and applied mathematics. The author focuses on the classic applications of self-similar solutions within astrophysical systems, with some general theory of self-similar solutions, so as to provide a framework for researchers to apply the principles across all scientific disciplines. He discusses recent advances in theoretical techniques of scaling while presenting a uniform technique that encompasses these developments, as well as applications to almost any branch of quantitative science. The result is an invaluable reference for active scientists, featuring examples of dimensions and scaling in condensed matter physics, astrophysics, fluid mechanics, and general relativity, as well as in mathematics and engineering.
Author : G. I. Barenblatt
Publisher : Unknown
Page : 386 pages
File Size : 40,5 Mb
Release : 1996
Category : Differential equations
ISBN : 1107050243
Author : G. I. Barenblatt
Publisher : Cambridge University Press
Page : 187 pages
File Size : 51,9 Mb
Release : 2003-11-13
Category : Mathematics
ISBN : 9780521826570
The author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural consequences of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used for self-study by biologists, chemists, astronomers, engineers and geoscientists.
Author : G. I. Barenblatt
Publisher : Unknown
Page : 248 pages
File Size : 42,7 Mb
Release : 1979
Category : Mathematics
ISBN : UOM:39015000979644
Author : L. Pietronero,E. Tosatti
Publisher : Elsevier
Page : 489 pages
File Size : 52,6 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780444598417
Fractals in Physics
Author : Grigory Isaakovich Barenblatt
Publisher : Cambridge University Press
Page : 188 pages
File Size : 46,9 Mb
Release : 2003-11-13
Category : Mathematics
ISBN : 0521533945
Starting from dimensional analysis and physical similarity, G. Barenblatt describes the art of discovering scaling laws. He demonstrates the concepts of intermediate asymptotics and the renormalization group as natural consequences of self-similarity and shows how and when these tools can tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used independently by biologists, chemists, astronomers, engineers and geoscientists.
Author : G. I. Barenblatt
Publisher : Unknown
Page : 386 pages
File Size : 43,9 Mb
Release : 2000
Category : Mathematical physics
ISBN : 7506247259
Author : Grigory Isaakovich Barenblatt
Publisher : Unknown
Page : 386 pages
File Size : 50,9 Mb
Release : 2005
Category : Electronic
ISBN : OCLC:907499988
Author : Paul Meakin
Publisher : Cambridge University Press
Page : 700 pages
File Size : 47,5 Mb
Release : 1998
Category : Mathematics
ISBN : 0521452538
A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.
Author : Kenneth Falconer
Publisher : OUP Oxford
Page : 144 pages
File Size : 51,5 Mb
Release : 2013-09-26
Category : Mathematics
ISBN : 9780191663444
Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Author : D. Schertzer,S. Lovejoy
Publisher : Springer Science & Business Media
Page : 306 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400921474
consequences of broken symmetry -here parity-is studied. In this model, turbulence is dominated by a hierarchy of helical (corkscrew) structures. The authors stress the unique features of such pseudo-scalar cascades as well as the extreme nature of the resulting (intermittent) fluctuations. Intermittent turbulent cascades was also the theme of a paper by us in which we show that universality classes exist for continuous cascades (in which an infinite number of cascade steps occur over a finite range of scales). This result is the multiplicative analogue of the familiar central limit theorem for the addition of random variables. Finally, an interesting paper by Pasmanter investigates the scaling associated with anomolous diffusion in a chaotic tidal basin model involving a small number of degrees of freedom. Although the statistical literature is replete with techniques for dealing with those random processes characterized by both exponentially decaying (non-scaling) autocorrelations and exponentially decaying probability distributions, there is a real paucity of literature appropriate for geophysical fields exhibiting either scaling over wide ranges (e. g. algebraic autocorrelations) or extreme fluctuations (e. g. algebraic probabilities, divergence of high order statistical moments). In fact, about the only relevant technique that is regularly used -fourier analysis (energy spectra) -permits only an estimate of a single (power law) exponent. If the fields were mono-fractal (characterized by a single fractal dimension) this would be sufficient, however their generally multifractal character calls for the development of new techniques.
Author : Bahman Zohuri
Publisher : Springer
Page : 372 pages
File Size : 48,7 Mb
Release : 2015-04-15
Category : Technology & Engineering
ISBN : 9783319134765
This ground-breaking reference provides an overview of key concepts in dimensional analysis, and then pushes well beyond traditional applications in fluid mechanics to demonstrate how powerful this tool can be in solving complex problems across many diverse fields. Of particular interest is the book’s coverage of dimensional analysis and self-similarity methods in nuclear and energy engineering. Numerous practical examples of dimensional problems are presented throughout, allowing readers to link the book’s theoretical explanations and step-by-step mathematical solutions to practical implementations.
