Over time I have established a somewhat (but not completely) “random” collection of scientific notes on topics which I came across at some point. The idea was to preserve some essential insights in a semi-polished fashion, such as to be able to access it quickly and efficiently later. If you’re interested, you’re very welcome to rummage in my science-attic!
If you should indeed find something which turns out to be useful to you, I’d of course be most happy to learn about that! If something’s wrong — ditto!
Statistical Mechanics
- Fluctuation-Dissipation-Theorem for Brownian motion [pdf]
- The Henderson Theorem (uniqueness of pair-potential for given g(r)) [pdf]
- Microcanonical and canonical two-dimensional Ising model: an example [pdf]
- One-dimensional diffusion on a finite region [pdf]
- Thermal softening of Helfrich membranes [pdf]
- Van der Waals equation, Maxwell construction, and Legendre transforms [pdf]
Computational topics
- Equidistributed points on the surface of a sphere [pdf]
- How to calculate g(r) under periodic boundary conditions [pdf]
- How to generate exponentially correlated Gaussian random numbers [pdf]
- Analytical expressions for the blocking error of exponentially correlated Gaussian data [pdf]
- Linear and logarithmic interpolation [pdf]
- Some random notes on data fitting [pdf]
Electrostatics
