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PHY 770 -- Statistical Mechanics 12:00 * - 1:45 P M TR Olin 107

PHY 770 -- Statistical Mechanics 12:00 * - 1:45 P M TR Olin 107 Instructor: Natalie Holzwarth (Olin 300) Course Webpage: http://www.wfu.edu/~natalie/s14phy770. Lecture 15 Chap. 6 – Interacting particles Cluster expansions Virial coefficients for classical gas

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PHY 770 -- Statistical Mechanics 12:00 * - 1:45 P M TR Olin 107

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  1. PHY 770 -- Statistical Mechanics 12:00*- 1:45 PM TR Olin 107 Instructor: Natalie Holzwarth (Olin 300) Course Webpage: http://www.wfu.edu/~natalie/s14phy770 • Lecture 15 • Chap. 6 – Interacting particles • Cluster expansions • Virialcoefficients for classical gas • Interacting Fermi particles *Partial make-up lecture -- early start time PHY 770 Spring 2014 -- Lecture 14

  2. PHY 770 Spring 2014 -- Lecture 14

  3. Effects of interactions between particles – classical case PHY 770 Spring 2014 -- Lecture 14

  4. Effects of interactions between particles – classical case -- continued PHY 770 Spring 2014 -- Lecture 14

  5. Effects of interactions between particles – classical case -- continued PHY 770 Spring 2014 -- Lecture 14

  6. Effects of interactions between particles – classical case -- continued PHY 770 Spring 2014 -- Lecture 14

  7. Effects of interactions between particles – classical case -- continued PHY 770 Spring 2014 -- Lecture 14

  8. Effects of interactions between particles – classical case -- continued PHY 770 Spring 2014 -- Lecture 14

  9. Effects of interactions between particles – classical case -- continued PHY 770 Spring 2014 -- Lecture 14

  10. Effects of interactions between particles – classical case -- continued PHY 770 Spring 2014 -- Lecture 14

  11. Effects of interactions between particles – classical case – continued Virial coefficient for Lennard-Jones potential T* PHY 770 Spring 2014 -- Lecture 14

  12. Effects of interactions between particles – classical case – continued PHY 770 Spring 2014 -- Lecture 14

  13. Interacting Fermi fluid BCS (Bardeen, Schrieffer, and Cooper) model Superconducting phase transition PHY 770 Spring 2014 -- Lecture 14

  14. Interacting Fermi fluid BCS (Bardeen, Schrieffer, and Cooper) model Superconducting phase transition PHY 770 Spring 2014 -- Lecture 14

  15. Interacting Fermi fluid -- BCS model -- continued PHY 770 Spring 2014 -- Lecture 14

  16. Interacting Fermi fluid -- BCS model -- continued PHY 770 Spring 2014 -- Lecture 14

  17. Interacting Fermi fluid -- BCS model -- continued Bogoliubov transformation to decouple interactions using unitary transformation PHY 770 Spring 2014 -- Lecture 14

  18. Interacting Fermi fluid -- BCS model -- continued PHY 770 Spring 2014 -- Lecture 14

  19. Interacting Fermi fluid -- BCS model -- continued PHY 770 Spring 2014 -- Lecture 14

  20. Interacting Fermi fluid -- BCS model -- continued (Note: results not quite identical to textbook. PHY 770 Spring 2014 -- Lecture 14

  21. Interacting Fermi fluid -- BCS model -- continued PHY 770 Spring 2014 -- Lecture 14

  22. Interacting Fermi fluid -- BCS model -- continued PHY 770 Spring 2014 -- Lecture 14

  23. Interacting Fermi fluid -- BCS model -- continued PHY 770 Spring 2014 -- Lecture 14

  24. Interacting Fermi fluid -- BCS model -- continued PHY 770 Spring 2014 -- Lecture 14

  25. Interacting Fermi fluid -- BCS model -- continued Approximate behavior of gap as a function of T T/Tc PHY 770 Spring 2014 -- Lecture 14

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