Invariant Manifolds for Physical and Chemical Kinetics

By 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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Gorban, Alexander N. (Author), Karlin, Iliya V. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Edition:1st ed. 2005.
Series:Lecture Notes in Physics, 660
Subjects:
Mathematical physics.
Quantum physics.
Spintronics.
Thermodynamics.
Physical chemistry.
System theory.
Mathematical Methods in Physics.
Quantum Physics.
Physical Chemistry.
Complex Systems.
Online Access:Texto Completo
Table of Contents:
  • Introduction
  • 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.

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