Theoretical physics III
General data
Course ID:  WMFI501 
Erasmus code / ISCED:  (unknown) / (unknown) 
Course title:  Theoretical physics III 
Name in Polish:  Fizyka teoretyczna III 
Organizational unit:  Faculty of Mathematics and Natural Sciences. School of Exact Sciences. 
Course groups:  
ECTS credit allocation (and other scores): 
(not available)

Language:  English 
Subject level:  elementary 
Learning outcome code/codes:  FIZ2_W01; FIZ2_W02; FIZ2_W03; FIZ2_W07; FIZ2_W08; FIZ2_U01; FIZ2_U04; FIZ2_U09; FIZ2_U15; FIZ2_U16; FIZ2_K02 
Short description: 
Introduction to the statistical description of three base assembles of many particles and the connection with the principles of thermodynamics. Microscopic understanding of the entropy, partition and thermodynamic functions. The application of statistical physics and distributions to classical and quantum ideal gases. Introduction to fluctuating phenomena. 
Full description: 
1. Introduction to the phenomenological thermodynamics: thermodynamic parameters and processes. The first law of thermodynamics. Classical thermodynamic ideal gas. The second law of thermodynamics. Entropy. Carnot cycle. 2. Conditions of thermodynamic equilibrium. State functions. Helmholtz and Gibbs free Energy. Maxwell's relations. Chemical potential. The van der Waals equation of state. 3. Phase space in classical physics. Phase volume. Continuity equation. Liouville theorem. Phase space in quantum physics. Phase volume of the harmonic oscillator. The density of states per unit of energy. 4. Thermodynamic probability. Entropy in statistical physics. The microcanonical ensemble. Canonical ensemble. The Gibbs distribution. 5. Partition function. Ensemble average for the energy. Relationship between the canonical ensemble and thermodynamics. Grand canonical ensemble. Grand canonical partition function. Average number of particles. Grand potential. 6. Classical thermodynamic ideal gas. Entropy. Average energy per particle. Pressure. Gibbs paradox. Theorem of equipartition of energy. 7. Quantum ideal gases. Temperature of degeneration. Fermions and bosons. Distributions of FermiDirac and BoseEinstein. Classical limit of high temperature. MaxwellBoltzmann distribution. 8. Black body thermal radiation. Experimental facts. State density function for photons. Planck distribution. Wien's displacement law and StefanBoltzmann law. Thermodynamic state functions for a black body photon gas. Specific heat and entropy. The isothermal process. Cosmic microwave background. 9. Free electron model. Drude model of electrical conduction. Density of states. Electron gas at 0 K. Fermi energy. Concentration of electrons. Fermi velocity. Electron gas at temperature T > 0 K. Fermi temperature. 10. Semiconductors. Band structure of semiconductors. Electron effective mass. Intrinsic semiconductors. Effective density of states . Fermi level and band structure. Doped semiconductors. 11. BoseEinstein condensation. Critical temperature. Chemical potential. Doppler laser cooling of atoms. Magnetic trap. Evaporative cooling. Thermodynamic parameters of Bose–Einstein condensate. 12. The heat capacity of solids . Einstein's theory of specific heats. Canonical partition function of independent phonons. Specific heat at the limits of high and low temperatures. Debye's model. Debye's maximum frequency. Density of states. Internal energy. Electron heat capacity. 13. Fluctuations and thermodynamics. Gaussian distribution. The average fluctuations of the square energy. Fluctuations in the grand canonical ensemble. Particle number fluctuations. Nyquist noise. Landauer's principle. 14. Brownian motion. Mean squared displacement of the particles. EinsteinSmoluchowski's expression. Random walk. Diffusion. Diffusion coefficient. 15. Phase transitions. Ising Model for ferromagnetism. Order parameter. The singlespin energy. Internal energy. Specific heat. The GinzburgLandau theory. Minimizing of the potential. Phase transition in the external field. Susceptibility. Critical exponents. 
Bibliography: 
1. K. Huang, Podstawy fizyki statystycznej, PWN 2006 2. R. Hołyst, A. Poniewierski, A. Ciach, Termodynamika dla chemików, fizyków i inżynierów, Wydawnictwo UKSW 2005 3. L. D. Landau, J. M. Lifszyc, Fizyka statystyczna. Cz. 1, wyd. 2, PWN, Warszawa, 2011 4. R. C. Tolman, The principles of statistical mechanics, Dover, New York, 1979. 
Efekty kształcenia i opis ECTS: 
Explains the problems of statistical mechanics and the relationship with the experimental physics. Solves the problems of statistical mechanics. Uses the formalism of statistical mechanics to describe the laws and processes in nature. 
Assessment methods and assessment criteria: 
Assessed knowledge of the theory and the ability to solve problems. Two tests are planned, a written and oral exam. 
Practical placement: 
(in Polish) brak 
Copyright by Cardinal Stefan Wyszynski University in Warsaw.