Leseprobe
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PHYSICS OF SUPERNOVAE AND THEIR MATHEMATICAL MODELS, THE
Alexey G Aksenov, Valery M Chechetkin
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World Scientific Publishing Company 
Naturwissenschaften, Medizin, Informatik, Technik / Thermodynamik
Beschreibung
This book is dedicated to the theory of supernovae, focusing on new computational methods and simulations. It contains three parts: basic principles, numerical methods, and applications. The first part contains a non-formal introduction into the basics of supernovae, Boltzmann kinetic equations — with details of two particles reaction rate calculations — and the transformation of Boltzmann kinetic equations into hydrodynamic elements of statistical physics. It also contains the equation of state for matter of high energy density, with details of calculations for thermodynamic parameters, weak interactions, reaction rate details, and thermonuclear burning. The second part introduces elements of computational physics.
The book closes with a presentation of original thought regarding the regime of burning in degenerate carbon–oxygen cores, a neutrino transport in Type II supernovae, a simulation of general relativity (GR) coalescence of neutron stars, aspherical nucleosynthesis in a core-collapse supernova, and thermalization in a pair of plasma winds from a compact strange star.
This book brings together generally accepted simulations methods as well as original material written by two respected members of Russian research groups: the Keldysh Institute of Applied Mathematics and Institute of Theoretical and Experimental Physics. It contains the necessary information for a person to start independent research in this fast-developing field, and is therefore an important read for new researchers in this subject.
Contents:
- About the Authors
- Introduction
- Theoretical Foundations and Investigations:
- Evidence of Supernovae
- Kinetic Boltzmann Equations, Collision Integral, and Hydrodynamics
- Equation of State of the Matter at High Density
- Transport with Reactions
- Numerical Methods:
- The Basics of Computational Physics
- Direct Integration of Boltzmann Equations
- Multidimensional Hydrodynamics
- A Newton Iteration Method for Obtaining Equilibria of Rapidly Rotating Stars
- Numerical Solution of the Poisson Equation for the 3D Modeling of Stellar Evolution
- Applications:
- The Problem of the Regime of Burning in Degenerate Carbon–Oxygen Cores in Type I Supernovae
- A Neutrino Transport in Type II Supernovae
- GR Effects in SN and Binary Systems
- Aspherical Nucleosynthesis in a Core-Collapse Supernova
- Thermalization in Relativistic Plasma
- Appendices:
- Hydrodinamic Equations in Orthogonal Curvilinear Coordinates
- Collision Integrals for Weak Interactions
- References
- Index
Readership: Post-graduate students and researchers specializing in the field of astrophysics of compact objects, as well as theoretical physicists working on kinetic theory, plasma physics, hydrogynamics, and nuclear burning.
Key Features:
- Provides a modern view on the theory of both supernovae types
- Contains not only numerical receipts but also gives the basis for developing new numerical methods
- Contains in a single book elements of theory, a non-formal introduction in numerical methods, and the set of simulation tasks for supernovae
- Illustrates an important principle: all new ideas in computational physics come from theoretical and mathematical physics
