KPZ Tetris — Random Tetromino Deposition     TASEPs

Leonid Petrov


Simulation Info

KPZ Tetris — Random Tetromino Deposition     TASEPs

Leonid Petrov

Random tetromino deposition simulation. Standard Tetris pieces (I, O, T, S, Z, L, J) fall from above onto a 100-wide floor at uniformly random positions and orientations, with no player input. Pieces drop straight down and land on the existing surface. The growing height profile h(x,t) is displayed along with its fluctuation statistics. Related to KPZ universality class surface growth models.

Pieces 0 Avg h 0 σ 0 Max h 0

code

(note: parameters in the code might differ from the ones in simulation results below)

Dear colleagues:

Feel free to use code (unless otherwise specified next to the corresponding link), data, and visualizations to illustrate your research in talks and papers, with attribution (CC BY-SA 4.0 (opens in new tab)). Some images are available in very high resolution upon request. I can also produce other simulations upon request - email me at lenia.petrov@gmail.com
This material is based upon work supported by the National Science Foundation under Grant DMS-2153869