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008 100806s2005 gw | s |||| 0|eng d
020 _a9783540315315
_9978-3-540-31531-5
024 7 _a10.1007/b98103
_2doi
050 4 _aQC5.53
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.15
_223
100 1 _aGorban, Alexander N.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aInvariant Manifolds for Physical and Chemical Kinetics
_h[electronic resource] /
_cby Alexander N. Gorban, Ilya V. Karlin.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2005.
300 _aXVIII, 496 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v660
505 0 _aIntroduction -- The Source of Examples -- Invariance Equation in the Differential Form -- Film Extension of the Dynamics: Slowness as Stability -- Entropy, Quasi-Equilibrium and Projector Field -- Newton Method with Incomplete Linearization -- Quasi-chemical Representation -- Hydrodynamics from Grad's Equations: Exact Solutions -- Relaxation Methods -- Method of Invariant Grids -- Method of Natural Projector -- Geometry of Irreversibility: The Film of Nonequilibrium States -- Slow Invariant Manifolds for Open Systems -- Estimation of Dimension of Attractors -- Accuracy Estimation and Post-Processing -- Conclusion.
520 _aBy bringing together various ideas and methods for extracting the slow manifolds the authors show that it is possible to establish a more macroscopic description in nonequilibrium systems. The book treats slowness as stability. A unifying geometrical viewpoint of the thermodynamics of slow and fast motion enables the development of reduction techniques, both analytical and numerical. Examples considered in the book range from the Boltzmann kinetic equation and hydrodynamics to the Fokker-Planck equations of polymer dynamics and models of chemical kinetics describing oxidation reactions. Special chapters are devoted to model reduction in classical statistical dynamics, natural selection, and exact solutions for slow hydrodynamic manifolds. The book will be a major reference source for both theoretical and applied model reduction. Intended primarily as a postgraduate-level text in nonequilibrium kinetics and model reduction, it will also be valuable to PhD students and researchers in applied mathematics, physics and various fields of engineering.
650 0 _aMathematical physics.
650 0 _aQuantum theory.
650 0 _aThermodynamics.
650 0 _aChemistry, Physical organic.
650 1 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
650 2 4 _aQuantum Information Technology, Spintronics.
_0http://scigraph.springernature.com/things/product-market-codes/P31070
650 2 4 _aThermodynamics.
_0http://scigraph.springernature.com/things/product-market-codes/P21050
650 2 4 _aPhysical Chemistry.
_0http://scigraph.springernature.com/things/product-market-codes/C21001
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
700 1 _aKarlin, Ilya V.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540803102
776 0 8 _iPrinted edition:
_z9783642061530
776 0 8 _iPrinted edition:
_z9783540226840
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v660
856 4 0 _uhttps://doi.org/10.1007/b98103
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c10141
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