Derived from
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20401806 ELEMENTS OF STATISTICAL MECHANICS in Physics L-30 N0 RAIMONDI ROBERTO
(syllabus)
Kinetic theory. Boltzmann equation. Theorem H. (1, Par.2.1,2.2,2.3,2.4) Maxwell-Boltzmann distribution. (1, Par. 2.5) Phase space and Liouville theorem. (1, Par.3.1.3.2) Gibbs ensembles. Microcanonical ensemble. Entropy. (1, Par.3.3.3.4) Perfect gas in the microcanonical ensemble. (1, Par. 3.6) Equipartition theorem. (1, Par.3.5) Canonical ensemble. (1, Par.4.1). Partition function and free energy. Energy fluctuations. (1 Par.4.4) Grancanonic ensemble. Granpotenziale. The perfect gas in the grancanonic ensemble (1 Par. 4.3). Fluctuations in the number of particles. (1 Par. 4.4) Classical linear response theory and fluctuation-dissipation theorem. (1, Par. 8.4). Einstein and Langevin Brownian motion theory. (Par. 1 par. 11.1,11.2). Johnson-Nyquist thermal noise theory. (1 Par.11.3). Mechanics Quantum statistics and density matrix. (1, Par. 6.2,6.3,6.4) Quantum statistics of Fermi-Dirac and Bose-Enstein (1, Par. 7.1) Fermi's gas. Sommerfeld development. Electronic specific heat. (1, Par.7.2) Bose gas. Bose-Einstein condensation. (1, Par.7.3) Theory of blackbody radiation. (1, Par.7.5)
(reference books)
C. Di Castro and R. Raimondi, Statistical Mechanics and Applications in Condensed Matter, Cambridge University Press, 2015. K. Huang, Meccanica Statistica, Zanichelli, 1997. L. Peliti, Appunti di Meccanica Statistica, Bollati Boringhieri, 2003. Joel L. Lebowitz, Statistical mechanics: A selective review of two central issues, Reviews of Modern Physics, 71, S346 (1999). S. Goldstein Boltzmann's approach to Statistical Mechanics, cond-mat/0105242. John R. Ray, Correct Boltzmann counting, European Journal of Physics, 5, 219 (1984) E. T. Jaynes, The Gibbs paradox, In Maximum Entropy and Bayesian Methods, C. Smith, G.J. Erickson, and P.P. Neudorfer, Editors, Kluwer Academic Publishers, Dordrecht, Holland (1992); pp.1-22. Robert H Swendsen, Statistical mechanics of colloids and Boltzmann's definition of the entropy, American Journal of Physics, 74, 187 (2006).
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