Chapter 2: Equation of State
Chapter 2: Equation of State Introduction The Local Thermodynamic Equilibrium The Distribution Function Black Body Radiation Fermi-Dirac EoS The Complete Degenerate Gas Application to White Dwarfs Temperature Effects Ideal Gas The Saha Equation “Almost Perfect” EoS Adiabatic Exponents and Other Derivatives Outline Introduction The Local Thermodynamic Equilibrium The Distribution Function Black Body Radiation Fermi-Dirac EoS The Complete Degenerate Gas Application to White Dwarfs Temperature Effects Ideal Gas The Saha Equation “Almost Perfect” EoS Adiabatic Exponents and Other Derivatives The EoS, together with the thermodynamic equation, allows to study how the stellar material properties react to the heat, changing density, etc. Introduction Goal of the Chapter: derive the equation of state (or the mutual dependencies among local thermodynamic quantities such as P; T ; ρ, and Ni ), not only for the classic ideal gas, but also for photons and fermions. Introduction Goal of the Chapter: derive the equation of state (or the mutual dependencies among local thermodynamic quantities such as P; T ; ρ, and Ni ), not only for the classic ideal gas, but also for photons and fermions. The EoS, together with the thermodynamic equation, allows to study how the stellar material properties react to the heat, changing density, etc. Thermodynamics Thermodynamics is defined as the branch of science that deals with the relationship between heat and other forms of energy, such as work. The Laws of Thermodynamics: I First law: Energy can be neither created nor destroyed. This is a version of the law of conservation of energy, adapted for (isolated) thermodynamic systems. I Second law: In an isolated system, natural processes are spontaneous when they lead to an increase in disorder, or entropy, finally reaching an equilibrium.
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