Lectures & Tutorials

  • For PhD and MSc students. Spring 2020/2021
  • When and where = Wednesdays, 9:50-12:10. Room K10A (ground floor, Karlin)
  • Prosím zájemce o výuku v LS 19/20 o napsání emailu na pavelka@karlin.mff.cuni.cz.
    Who is interested to participate, please write me an email. Thank you.
  • Language: Czech or English
  • Requirements for exam: Základní porozuení probranému. To pass thee exam you should understand the fundamental parts of the theory.
  • Podmínky záporčtu: Vyrešení domácí úlohy. To pass the exercises you should solve a homework problem.
  • Some content is based on our book.
  • The Julia parts (mostly taught by Petr Vágner) are based on lectures of Jürgen Fuhrmann (WIAS).
  • Flyer here.
  • Since in vivo teaching has been suspended, we'll go for Skype or Zoom. Students will get a link on Wednesdays morning by email.

Lectures

  1. Compressible fluid mechanics. Maxwell equations. Electrodynamics of charged fluids.
  2. Entropy, canonical distribution, thermodynamic potentials, electrostatics (capacitor, Debye screening)
  3. Overview of the textbook (being written). Gibbs-Duhem relation. Reduction of electrodynamics of charged fluids to mechanical equilibrium, electrochemical potential. Diffusion equations.
  4. Principle of maximum entropy in more detail. Legendre transformations. Boltzmann entropy. Sackur-Tetrode relation for ideal gas.
  5. April 1: More on chemical potential. Relation between Ohm's law and friction. Introduction to Julia (by Petr Vágner)
  6. April 8: Chemical potential in general. Entropy of mixtures. Julia: Modules, optimization, homework 1.
  7. April 15: Thermodynamic potentials in mixtures. Chemical reactions. Julia: modules, homework 2.
  8. April 22: Chemical potentials of aqueous solutions. Statistical physics of surfaces, Langmuir isotherm. Julia: linear algebra, homework 3.
  9. April 29: Dissociation, pH. Maximum available work.
  10. May 6: Electrochemical reactions. Introduction to finite volumes.
  11. May 13: Finite volumes. Dynamics of mixtures. Reduction to Maxwell-Stefan relations.
  12. May 20: Construction of numerical fluxes. Electrodynamics of mixtures. Reduction to Maxwell-Stefan diffusion equations.
  13. May 27: Debye-Hueckel theory. Entropy production and efficiency. Galilean invariance and scaling.