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Introduction To Relativistic Statistical Mechanics : Classical And Quantum.

This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Formato: Electrónico eBook
Idioma:Inglés
Publicado: WSPC 2011.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. The one-Particle relativistic distribution function. 1.1. The one-particle relativistic distribution function. 1.2. The Juttner-Synge equilibrium distribution. 1.3. From the microcanonical distribution. 1.4. Equilibrium fluctuations. 1.5. One-particle Liouville theorem. 1.6. The relativistic rotating gas
  • 2. Relativistic kinetic theory and the BGK equation. 2.1. Relativistic hydrodynamics. 2.2. The relaxation time approximation. 2.3. The relativistic kinetic theory approach to hydrodynamics. 2.4. The static conductivity tensor. 2.5. Approximation methods for the relativistic Boltzmann equation and other kinetic equations. 2.6. Transport coefficients for a system embedded in a magnetic field
  • 3. Relativistic plasmas. 3.1. Electromagnetic quantities in covariant form. 3.2. The static conductivity tensor. 3.3. Debye-Huckel law. 3.4. Derivation of the plasma modes. 3.5. Brief discussion of the plasma modes. 3.6. The conductivity tensor. 3.7. Plasma-beam instability
  • 4. Curved space-time and cosmology. 4.1. Basic modifications. 4.2. Thermal equilibrium in a gravitational field. 4.3. Einstein-Vlasov equation. 4.4. An illustration in cosmology. 4.5. Cosmology and relativistic kinetic theory
  • 5. Relativistic statistical mechanics. 5.1. The dynamical problem. 5.2. Statement of the main statistical problems. 5.3. Many-particle distribution functions. 5.4. The relativistic BBGKY hierarchy. 5.5. Self-interaction and radiation. 5.6. Radiation quantities. 5.7. A few relativistic kinetic equations. 5.8. Statistics of fields and particles
  • 6. Relativistic stochastic processes and related questions. 6.1. Stochastic processes in Minkowski space-time. 6.2. Stochastic processes in [symbol] space. 6.3. Relativistic Brownian motion. 6.4. Random gravitational fields : An open problem
  • 7. The density operator. 7.1. The density operator for thermal equilibrium. 7.2. Relativistic bosons in thermal equilibrium. 7.3. Free fermions in thermal equilibrium. 7.4. Thermodynamic properties of the relativistic ideal Fermi-Dirac gas. 7.5. White dwarfs : The degenerate electron gas. 7.6. Functional representation of the partition function.