Non-Linear Dynamics Near and Far from Equilibrium
Language: English
Published by Springer-Verlag New York Inc., US, 2007
- Hardcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
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We will be concerned mainly with systems with in?nite degrees of freedom which can however, be described by a few variables. These variables must necessarily be ?elds i. e. functions of space and time. A typical example would be to try to describethe?owofairaroundus. Thevariablesthatwouldbenecessarytodescribe the state of air would certainly be its density, its temperature and its velocity. All these variables (density, temperature and velocity) are, in general, functions of space and time. They are mesoscopic variables. They do not re?ect the variations occurring at the molecular level. To de?ne a density, it should be recalled, we take a small volume (small compared to the total system size, yet large compared to atomic dimensions) and consider the mass of this small volume. The ratio of mass tovolumeremainsconstantforareasonablylargevariationinthesizeofthevolume chosen and de?nes the density of the system. It fails to be a constant if the volume becomessosmallthatitcontainsonlyafewmolecules. Inthatcaseourdescription in terms of a density fails. All the systems that we will talk about can be described in terms of a coarse grained ?eld like the density. Because of the smallness (at the macroscopic level) of the volume used in de?ning density it can be considered a local variable. This is what makes it a ?eld. Similarly we can talk about the local temperature and local velocity. The local velocity is not the velocity of an individual molecule but the velocity associated with a macroscopically small, yet microscopicallylargevolumeofair.…
Seller Inventory # LU-9781402053870
- Title
- Non-Linear Dynamics Near and Far from Equilibrium
- Author
- J.K. Bhattacharjee, S. Bhattacharyya
- Publisher
- Springer-Verlag New York Inc., US
- Publication year
- 2007
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 1402053878
- ISBN 13
- 9781402053870
- Edition
- 2007 ed.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This text gives a detailed account of various techniques that are used in the study of dynamics of continuous systems, near as well as far from equilibrium. The analytic methods covered include diagrammatic perturbation theory, various forms of the renormalization group and self-consistent mode coupling. Dynamic critical phenomena near a second order phase transition, phase ordering dynamics, dynamics of surface growth and turbulence form the backbone of the book.
Applications to a wide variety of systems (e.g. magnets, ordinary fluids, superfluids) are provided covering diverse transport properties (diffusion, sound).
It is unique in that it gives a detailed description of perturbation theory for nonlinear continuous systems, it focuses on techniques which can be applied to problems ranging from near equilibrium dynamics to fully developed turbulence, and it provides a discussion of physical properties (e.g. critical ultrasonics) that are generally not covered in text books.
Audience:
Beginning graduate students, senior undergraduates, researchers
"About the title" may belong to another edition of this title.
Rarewaves.com UK
London, United Kingdom
AbeBooks seller since June 11, 2025
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