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Chaos & Systems

Time-Symmetry Breaking in Turbulent Multi-Particle Dispersion (Springer Theses)

Time-Symmetry Breaking in Turbulent Multi-Particle Dispersion (Springer Theses) Lowest new price: $108.11
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Author: Jennifer Jucha
Brand: Jennifer Jucha

This thesis presents experimental and theoretical investigations of the connection between the time asymmetry in the short-time evolution of particle clusters and the intrinsic irreversibility of turbulent flows due to the energy cascade.

 The term turbulence describes a special state of a continuous medium in which many interacting degrees of freedom are excited. One of the interesting phenomena observed in turbulent flows is their time irreversibility. When milk is stirred into coffee, for example, highly complex and interwoven structures are produced, making the  mixing process irreversible.

 This behavior can be analyzed in more detail by studying the dispersion of particle clusters. Previous experimental and numerical studies on the time asymmetry in two-particle dispersion indicate that particles separate faster backwards than forwards in time, but no conclusive explanation has yet been provided.

 In this thesis, an experimental study on the short-time behavior of two- and four-particle dispersion in a turbulent water flow between two counter-rotating propellers is presented. A brief but rigorous theoretical analysis reveals that the observed time irreversibility is closely linked to the turbulence energy cascade. Additionally, it is demonstrated experimentally that the addition of minute amounts of polymers to the flow has a significant impact on multi-particle dispersion due to an alteration of the energy cascade.


  • Time Symmetry Breaking in Turbulent Multi Particle Dispersion Springer Theses

Linked: How Everything Is Connected to Everything Else and What It Means for Business, Science, and Everyday Life

Linked: How Everything Is Connected to Everything Else and What It Means for Business, Science, and Everyday Life Lowest new price: $11.00
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Author: Albert-laszlo Barabasi
Brand: Albert L szl Barab si

A cocktail party. A terrorist cell. Ancient bacteria. An international conglomerate. All are networks, and all are a part of a surprising scientific revolution. In Linked, Albert-László Barabási, the nation's foremost expert in the new science of networks, takes us on an intellectual adventure to prove that social networks, corporations, and living organisms are more similar than previously thought. Barabási shows that grasping a full understanding of network science will someday allow us to design blue-chip businesses, stop the outbreak of deadly diseases, and influence the exchange of ideas and information. Just as James Gleick and the Erdos–Rényi model brought the discovery of chaos theory to the general public, Linked tells the story of the true science of the future and of experiments in statistical mechanics on the internet, all vital parts of what would eventually be called the Barabási–Albert model.

How is the human brain like the AIDS epidemic? Ask physicist Albert-László Barabási and he'll explain them both in terms of networks of individual nodes connected via complex but understandable relationships. Linked: The New Science of Networks is his bright, accessible guide to the fundamentals underlying neurology, epidemiology, Internet traffic, and many other fields united by complexity.

Barabási's gift for concrete, nonmathematical explanations and penchant for eccentric humor would make the book thoroughly enjoyable even if the content weren't engaging. But the results of Barabási's research into the behavior of networks are deeply compelling. Not all networks are created equal, he says, and he shows how even fairly robust systems like the Internet could be crippled by taking out a few super-connected nodes, or hubs. His mathematical descriptions of this behavior are helping doctors, programmers, and security professionals design systems better suited to their needs. Linked presents the next step in complexity theory--from understanding chaos to practical applications. --Rob Lightner


  • Linked How Everything Is Connected to Everything Else and What It Means for Business Science and Everyday Life

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Solar and Stellar Dynamos: Saas-Fee Advanced Course 39 Swiss Society for Astrophysics and Astronomy

Solar and Stellar Dynamos: Saas-Fee Advanced Course 39  Swiss Society for Astrophysics and Astronomy Lowest new price: $89.12
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Author: Paul Charbonneau
Brand: Charbonneau Paul

Astrophysical dynamos are at the heart of cosmic magnetic fields of a wide range of scales, from planets and stars to entire galaxies. This book presents a thorough, step-by-step introduction to solar and stellar dynamos. Looking first at the ultimate origin of cosmic seed magnetic fields, the antagonists of field amplification are next considered: resistive decay, flux expulsion, and flows ruled out by anti-dynamo theorems. Two kinematic flows that can act as dynamos are then studied: the Roberts cell and the CP-flow. Mean-field electrodynamics and derivation of the mean-field dynamo equations lead to the alpha Omega-dynamo, the flux transport dynamo, and dynamos based on the Babcock-Leighton mechanism. Alternatives to the mean-field theory are also presented, as are global MHD dynamo simulations. Fluctuations and grand minima in the solar cycle are discussed in terms of dynamo modulations through stochastic forcing and nonlinear effects. The book concludes with an overview of the major challenges in understanding stellar magnetic fields and their evolution in terms of various dynamo models, global MHD simulations, and fossil fields. Each chapter is accompanied by an annotated bibliography, guiding the readers to the relevant technical literature, which may lead them to carry out their own research in the field of dynamo theory.


  • Solar and Stellar Dynamos

The Web of Life: A New Scientific Understanding of Living Systems

The Web of Life: A New Scientific Understanding of Living Systems Lowest new price: $7.44
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Author: Fritjof Capra
Brand: Capra, Fritjof

The vitality and accessibility of Fritjof Capra's ideas have made him perhaps the most eloquent spokesperson of the latest findings emerging at the frontiers of scientific, social, and philosophical thought. In his international bestsellers The Tao of Physics and The Turning Point, he juxtaposed physics and mysticism to define a new vision of reality. In The Web of Life, Capra takes yet another giant step, setting forth a new scientific language to describe interrelationships and interdependence of psychological, biological, physical, social, and cultural phenomena--the "web of life."

During the past twenty-five years, scientists have challenged conventional views of evolution and the organization of living systems and have developed new theories with revolutionary philosophical and social implications. Fritjof Capra has been at the forefront of this revolution. In The Web of Life, Capra offers a brilliant synthesis of such recent scientific breakthroughs as the theory of complexity, Gaia theory, chaos theory, and other explanations of the properties of organisms, social systems, and ecosystems. Capra's surprising findings stand in stark contrast to accepted paradigms of mechanism and Darwinism and provide an extraordinary new foundation for ecological policies that will allow us to build and sustain communities without diminishing the opportunities for future generations.

Now available in paperback for the first time, The Web of Life is cutting-edge science writing in the tradition of James Gleick's Chaos, Gregory Bateson's Mind and Matter, and Ilya Prigogine's Order Out of Chaos.

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The Essence Of Chaos (Jessie and John Danz Lectures)

The Essence Of Chaos (Jessie and John Danz Lectures) Lowest new price: $11.50
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Author: Edward Lorenz

The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field.
Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals.
As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?" is published for the first time.

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Chaos: A Very Short Introduction

Chaos: A Very Short Introduction Lowest new price: $7.05
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Author: Lenny Smith
Brand: Leonard A Smith

Chaos exists in systems all around us. Even the simplest system can be subject to chaos, denying us accurate predictions of its behavior, and sometimes giving rise to astonishing structures of large-scale order. Here, Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible math and physics to explain Chaos Theory, and points to numerous examples in philosophy and literature that illuminate the problems. This book provides a complete understanding of chaotic dynamics, using examples from mathematics, physics, philosophy, and the real world, with an explanation of why chaos is important and how it differs from the idea of randomness. The author's real life applications include the weather forecast, a pendulum, a coin toss, mass transit, politics, and the role of chaos in gambling and the stock market. Chaos represents a prime opportunity for mathematical lay people to finally get a clear understanding of this fascinating concept.

About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.


  • Chaos A Very Short Introduction

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Order Out of Chaos (Radical Thinkers)

Order Out of Chaos (Radical Thinkers) Lowest new price: $11.84
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Author: Ilya Prigogine
Brand: Prigogine Ilya

A pioneering book that shows how the two great themes of classic science, order and chaos, are being reconciled in a new and unexpected synthesis.

Order Out of Chaos is a sweeping critique of the discordant landscape of modern scientific knowledge. In this landmark book, Nobel Laureate Ilya Prigogine and acclaimed philosopher Isabelle Stengers offer an exciting and accessible account of the philosophical implications of thermodynamics. Prigogine and Stengers bring contradictory philosophies of time and chance into a novel and ambitious synthesis. Since its first publication in France in 1978, this book has sparked debate among physicists, philosophers, literary critics and historians.


  • Order Out of Chaos

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How Nature Works: the science of self-organized criticality

How Nature Works: the science of self-organized criticality Lowest new price: $9.06
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Author: Per Bak
Brand: Per Bak

Self-organized criticality, the spontaneous development of systems to a critical state, is the first general theory of complex systems with a firm mathematical basis. This theory describes how many seemingly desperate aspects of the world, from stock market crashes to mass extinctions, avalanches to solar flares, all share a set of simple, easily described properties.
"...a'must read'...Bak writes with such ease and lucidity, and his ideas are so intriguing...essential reading for those interested in complex will reward a sufficiently skeptical reader." -NATURE
"...presents the theory (self-organized criticality) in a form easily absorbed by the non-mathematically inclined reader." -BOSTON BOOK REVIEW
"I picture Bak as a kind of scientific musketeer; flamboyant, touchy, full of swagger and ready to join every fray... His book is written with panache. The style is brisk, the content stimulating. I recommend it as a bracing experience." -NEW SCIENTIST

. . . In print, at least, what might seem arrogant comes across as a kind of innocent, childlike enthusiasm, a lack of concern for anything but the sheer joy of figuring things out. His ruthless simplifications of geology, evolution, and neurology pay off because, as Bak notes, his models describe behavior that is common across these domains. This universality means that trampling across others' turf is not only acceptable, but almost mandatory, if the underlying principles are to be exposed. Finally, for the most part, Bak wants the reader to grasp the basic logic of his arguments; only rarely does he try to persuade with flights of poetic language or brute intellectual authority.


  • How Nature Works the science of self organized criticality

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Ubiquity: Why Catastrophes Happen

Ubiquity: Why Catastrophes Happen Lowest new price: $10.61
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Author: Mark Buchanan
Brand: Mark Buchanan

Critically acclaimed science journalist, Mark Buchanan tells the fascinating story of the discovery that there is a natural structure of instability woven into the fabric of our world, which explains why catastrophes-- both natural and human-- happen.

Scientists have recently discovered a new law of nature and its footprints are virtually everywhere-- in the spread of forest fires, mass extinctions, traffic jams, earthquakes, stock-market fluctuations, the rise and fall of nations, and even trends in fashion, music and art. Wherever we look, the world is modelled on a simple template: like a steep pile of sand, it is poised on the brink of instability, with avalanches-- in events, ideas or whatever-- following a universal pattern of change. This remarkable discovery heralds what Mark Buchanan calls the new science of 'ubiquity', a science whose secret lies in the stuff of the everyday world. Combining literary flair with scientific rigour, this enthralling book documents the coming revolution by telling the story of the researchers' exploration of the law, their ingenious work and unexpected insights.

Buchanan reveals that we are witnessing the emergence of an extraordinarily powerful new field of science that will help us comprehend the bewildering and unruly rhythms that dominate our lives and may even lead to a true science of the dynamics of human culture and history.

Earthquakes, market crashes, hurricanes, wars: are these random forces of nature, or foreseeable blips on the radar screen of history? In this lively book, science journalist Mark Buchanan introduces readers to a developing branch of science that looks for order in what seems to be utmost chaos.

In the late 1980s, three physicists set out to investigate the apparently inherent instability of complex systems. In a process that Buchanan illustrates by analogy with a sand pile, they discovered that these systems tend to arrive at a "critical state," after which point any random grain falling in just the right place can touch off an avalanche. So it is, Buchanan shows us, with the onset of world wars, economic shocks, traffic gridlock, and other dislocating events--all of which this new science may one day help predict.

In clear and vigorous prose, Buchanan brings readers insights from nonequilibrium physics, offering a new way of seeing the "fingers of instability" that poke through the world's fabric--and that in turn make it such an interesting place. --Gregory McNamee


  • Ubiquity Why Catastrophes Happen

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Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering (Studies in Nonlinearity)

Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering (Studies in Nonlinearity) Lowest new price: $50.00
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Author: Steven H. Strogatz

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory.Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or first-year graduate level. It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics.

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