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Statistical mechanics : lecture notes /

Essential Advanced Physics is a series comprising four parts: Classical Mechanics, Classical Electrodynamics, Quantum Mechanics and Statistical Mechanics. Each part consists of two volumes, Lecture notes and Problems with solutions, further supplemented by an additional collection of test problems a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Likharev, K. K. (Konstantin Konstantinovich) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2019]
Colección:IOP (Series). Release 6.
IOP expanding physics.
Essential advanced physics ; v. 7.
Essential advanced physics ; pt. SM.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Review of thermodynamics
  • 1.1. Introduction : statistical physics and thermodynamics
  • 1.2. The 2nd law of thermodynamics, entropy, and temperature
  • 1.3. The 1st and 3rd laws of thermodynamics, and heat capacity
  • 1.4. Thermodynamic potentials
  • 1.5. Systems with variable number of particles
  • 1.6. Thermal machines
  • 1.7. Problems
  • 2. Principles of physical statistics
  • 2.1. Statistical ensembles and probability
  • 2.2. Microcanonical ensemble and distribution
  • 2.3. Maxwell's Demon, information, and computation
  • 2.4. Canonical ensemble and the Gibbs distribution
  • 2.5. Harmonic oscillator statistics
  • 2.6. Two important applications
  • 2.7. Grand canonical ensemble and distribution
  • 2.8. Systems of independent particles
  • 2.9. Problems
  • 3. Ideal and not-so-ideal gases
  • 3.1. Ideal classical gas
  • 3.2. Calculating [mu]
  • 3.3. Degenerate Fermi gas
  • 3.4. Bose-Einstein condensation
  • 3.5. Gases of weakly interacting particles
  • 3.6. Problems
  • 4. Phase transitions
  • 4.1. First-order phase transitions
  • 4.2. Continuous phase transitions
  • 4.3. Landau's mean-field theory
  • 4.4. Ising model : the Weiss' molecular-field theory
  • 4.5. Ising model : exact and numerical results
  • 4.6. Problems
  • 5. Fluctuations
  • 5.1. Characterization of fluctuations
  • 5.2. Energy and the number of particles
  • 5.3. Volume and temperature
  • 5.4. Fluctuations as functions of time
  • 5.5. Fluctuations and dissipation
  • 5.6. The Kramers problem and the Smoluchowski equation
  • 5.7. The Fokker-Planck equation
  • 5.8. Back to the correlation function
  • 5.9. Problems
  • 6. Elements of kinetics
  • 6.1. The Liouville theorem and the Boltzmann equation
  • 6.2. The Ohm law and the Drude formula
  • 6.3. Electrochemical potential and the drift-diffusion equation
  • 6.4. Charge carriers in semiconductors
  • 6.5. Heat transfer and thermoelectric effects
  • 6.6. Problems
  • Appendices. A. Selected mathematical formulas
  • B. Selected physical constants.