The voter model on a 1D lattice where each site adopts the color of its left neighbor according to independent exponential clocks.

Statistics

Time Series: Front Position, Interface Density, Normalized Entropy

Red: Front position F(t)/L (leftmost color extent) with Poisson(t) theory ±√t band
Green: Interface density I(t)/(L-1) (fraction of neighboring sites with different colors)
Blue: Normalized entropy H(t)/log(L) (color diversity, 1=uniform, 0=single color)

Space–time raster: Complete History (time ↑, space →, NEVER scrolls)

Recent Events Window (last N events)

Domain-size histogram (excluding the leftmost color)

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code

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

• Link to code (This simulation is interactive; see page source)
• Link to code (C++/WASM core (Emscripten))

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). 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