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Can I read Uniqueness of Thermodynamic Projector and Kinetic Basis of Molecular Individualism on EtoBox?
Uniqueness of Thermodynamic Projector and Kinetic Basis of Molecular Individualism by Alexander N. Gorban; Iliya V. Karlin is a Physics and Astronomy article available to read on EtoBox.
What is Uniqueness of Thermodynamic Projector and Kinetic Basis of Molecular Individualism about?
Three results are presented: First, we solve the problem of persistence of dissipation for reduction of kinetic models. Kinetic equations with thermodynamic Lyapunov functions are studied. Uniqueness of the thermodynamic projector is proven: There exists only one projector which transforms any vector ÿeld equipped with the given Lyapunov function into a vector ÿeld with the same Lyapunov function for a given anzatz manifold which is not tangent to the Lyapunov function levels. Second, we use the thermodynamic projector for developing the short memory approximation and coarse-graining for general nonlinear dynamic systems. We prove that in this approximation the entropy production increases. (The theorem about entropy overproduction.) In example, we apply the thermodynamic projector to derive the equations of reduced kinetics for the Fokker-Planck equation. A new class of closures is developed, the kinetic multipeak polyhedra. Distributions of this type are expected in kinetic models with multidimensional instability as universally as the Gaussian distribution appears for stable systems. The number of possible relatively stable states of a nonequilibrium system grows as 2 m , and th
Who reads Uniqueness of Thermodynamic Projector and Kinetic Basis of Molecular Individualism?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- Alexander N. Gorban; Iliya V. Karlin
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0378-4371)
- Published
- 2004
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)