\(\texttt{todo}\) list#

Entropy

  1. entropy and the arrow of time

  2. entropy and physical solutions in hyperbolic problems

  3. H-theorem

  4. rigid-ball collisions

  1. Audio analyzer,

  1. Time: the arrow of time and the entropy

  2. Entropy in hyperbolic problems

  3. Boltzmann’s equation and H-theorem from molecular chaos assumption

  4. Rigid ball collisions:

    • analytical formulas for a 2-sphere collision

    • many-sphere collisions: route from deterministic to statistical mechanics

      • sensitivity to initial conditions

      • simulation forward and backward in time

      • what we can/want to know? Coarse-graining

      • …

  1. Gravitation:

  • as one of the first verification of Newtonian mechanics

  • 2-body problems and Kepler’s law

  • 3-body problems and Lagrangian points

  • n-nody problems:

    • solar system and the precession of Mercury perihelion, see colab \(\texttt{solar-system}\)

    • simplectic integration scheme: need for Hamiltonian equations for conservation properties of these schemes?

  • History: how Kepler found out ortibs are ellipses, see colab \(\texttt{orbit-shapes.ipynb}\) on the GDrive, and add somewhere, in \(\texttt{physics-hs}\) maybe

  1. Damping induced instability, see colab \(\texttt{ziegler-pendulum}\)

  • normal and non-normal systems: modal analysis, and linear non-modal analysis for non-normal systems

  1. Aeroelastic toy-problem, and divergencce and flutter instability, see colab \(\texttt{quasi-steady-aerodynamics}\)