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Propagation in Systems Far from Equilibrium - Proceedings of the Workshop, Les Houches, France, March 10-18, 1987 (Paperback, Softcover reprint of the original 1st ed. 1988)
Jose E. Wesfreid, Helmut R. Brand, Paul Manneville, Gilbert Albinet, Nino Boccara
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R3,021
Discovery Miles 30 210
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Ships in 10 - 15 working days
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Macroscopic physics provides us with a great variety of
pattern-forming systems displaying propagation phenomena, from
reactive fronts in combustion, to wavy structures in convection and
to shear flow instabilities in hydrodynamics. These proceedings
record progress in this rapidly expanding field. The contributions
have the following major themes: - The problems of velocity
selection and front morphology of propagating interfaces in
multiphase media, with emphasis on recent theoretical and
experimental results on dendritic crystal growth, Saffman-Taylor
fingering, directional solidification and chemical waves. - The
"unfolding" of large-scale, low-frequency behavior in weakly
confined homogeneous systems driven far from equilibrium, and more
specifically, the envelope approach to the mathematical description
of textures in different cases: steady cells, propagating waves,
structural defects, and phase instabilities. - The implications of
the presence of global downstream transport in open flows for the
nature, convective or absolute, of shear flow instabilities, with
applications to real boundary layer flows or shear layers, as
reported in contributions covering experimental situations of
fundamental and/or engineering interest.
Cellular automata are fully discrete dynamical systems with
dynamical variables defined at the nodes of a lattice and taking
values in a finite set. Application of a local transition rule at
each lattice site generates the dynamics. The interpretation of
systems with a large number of degrees of freedom in terms of
lattice gases has received considerable attention recently due to
the many applications of this approach, e.g. for simulating fluid
flows under nearly realistic conditions, for modeling complex
microscopic natural phenomena such as diffusion-reaction or
catalysis, and for analysis of pattern-forming systems. The
discussion in this book covers aspects of cellular automata theory
related to general problems of information theory and statistical
physics, lattice gas theory, direct applications, problems arising
in the modeling of microscopic physical processes, complex
macroscopic behavior (mostly in connection with turbulence), and
the design of special-purpose computers.
This book is an introduction to the application of nonlinear
dynamics to problems of stability, chaos and turbulence arising in
continuous media and their connection to dynamical systems. With an
emphasis on the understanding of basic concepts, it should be of
interest to nearly any science-oriented undergraduate and
potentially to anyone who wants to learn about recent advances in
the field of applied nonlinear dynamics. Technicalities are,
however, not completely avoided. They are instead explained as
simply as possible using heuristic arguments and specific worked
examples.
This book (2nd edition) is a self-contained introduction to a wide
body of knowledge on nonlinear dynamics and chaos. Manneville
emphasises the understanding of basic concepts and the nontrivial
character of nonlinear response, contrasting it with the
intuitively simple linear response. He explains the theoretical
framework using pedagogical examples from fluid dynamics, though
prior knowledge of this field is not required. Heuristic arguments
and worked examples replace most esoteric technicalities. Only
basic understanding of mathematics and physics is required, at the
level of what is currently known after one or two years of
undergraduate training: elementary calculus, basic notions of
linear algebra and ordinary differential calculus, and a few
fundamental physical equations (specific complements are provided
when necessary). Methods presented are of fully general use, which
opens up ample windows on topics of contemporary interest. These
include complex dynamical processes such as patterning, chaos
control, mixing, and even the Earth's climate. Numerical
simulations are proposed as a means to obtain deeper understanding
of the intricacies induced by nonlinearities in our everyday
environment, with hints on adapted modelling strategies and their
implementation.
This book is an introduction to the application of nonlinear
dynamics to problems of stability, chaos and turbulence arising in
continuous media and their connection to dynamical systems. With an
emphasis on the understanding of basic concepts, it should be of
interest to nearly any science-oriented undergraduate and
potentially to anyone who wants to learn about recent advances in
the field of applied nonlinear dynamics. Technicalities are,
however, not completely avoided. They are instead explained as
simply as possible using heuristic arguments and specific worked
examples.
Dissipative Structure and Weak Turbulence provides an understanding
of the emergence and evolution of structures in macroscopic
systems. This book discusses the emergence of dissipative
structures. Organized into 10 chapters, this book begins with an
overview of the stability of a fluid layer with potentially
unstable density stratification in the field of gravity. This text
then explains the theoretical description of the dynamics of a
given system at a formal level. Other chapters consider several
examples of how such simplified models can be derived, complicating
the picture progressively to account for other phenomena. This book
discusses as well the theory and experiments on plain
Rayleigh-Benard convection by setting first the theoretical frame
and deriving the analytical solution of the marginal stability
problem. The final chapter deals with building a bridge between
chaos as studied in weakly confined systems and more advanced
turbulence in the most conventional sense. This book is a valuable
resource for physicists.
This book presents five sets of pedagogical lectures by
internationally respected researchers on nonlinear instabilities
and the transition to turbulence in hydrodynamics. The book begins
with a general introduction to hydrodynamics covering fluid
properties, flow measurement, dimensional analysis and turbulence.
Chapter two reviews the special characteristics of instabilities in
open flows. Chapter three presents mathematical tools for
multiscale analysis and asymptotic matching applied to the dynamics
of fronts and localized nonlinear states. Chapter four gives a
detailed review of pattern forming instabilities. The final chapter
provides a detailed and comprehensive introduction to the
instability of flames, shocks and detonations. Together, these
lectures provide a thought-provoking overview of current research
in this important area.
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