Francisco Kim

PhD in theoretical physics by training, but a musician and musicologist at heart. A happy combination knitter, an avid novel reader, a disciplined meditator, and a sports enthusiast — whether taking part or watching from the sofa with crisps in one hand and a beer in the other.

Featured: Fuga I

A three-voice fugue in D minor built on the B-A-C-H motif within the counterpoint rules of the Baroque period. Listen below, then read the full write-up, which includes a musicological, computational and mathematical analysis of the piece.

Read the full analysis of Fuga I →

Fuga I, score page 1 Fuga I, score page 2

Featured: Ising & XY model simulator

A Monte Carlo simulation that runs entirely in your browser. Drag the temperature through the phase transition and watch a lattice of spins order and disorder; compare local (Metropolis, Glauber) and cluster (Wolff) dynamics; measure the susceptibility and specific heat across the exactly known critical point; and coarse-grain configurations with block-spin renormalisation.

It also simulates the two-dimensional XY model, whose planar spins are drawn as hue, so you can watch vortices and antivortices bind and unbind across the topological Berezinskii–Kosterlitz–Thouless transition.

Ising lattice near the critical temperature: black-and-white spin domains of every size XY model phase field coloured by hue, with vortices and antivortices marked as crosses

Play with the simulator →