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