Invariant Manifolds for Physical and Chemical Kinetics

• Main Authors: Gorban, Alexander N. (Author), Karlin, Ilya V. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Lecture Notes in Physics, 660
• Subjects: Physics.; Physical chemistry.; Quantum physics.; Thermodynamics.; Quantum computers.; Spintronics.; Statistical physics.; Dynamical systems.; Mathematical Methods in Physics.; Quantum Physics.; Quantum Information Technology, Spintronics.; Physical Chemistry.; Statistical Physics, Dynamical Systems and Complexity.

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...

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.