One-dimensional Voter Model vertex-models
Alexei Borodin and Alexei Bufetov (request); Leonid Petrov (implementation)
Canvas showing a horizontal color bar where each cell represents a lattice site in the 1D voter model; sites adopt their left neighbor's color at exponential random times. Includes space-time raster diagrams, time series of front position, interface density, and entropy, plus a domain-size histogram. Adjustable lattice size N, events per second, and random seed.
The voter model on a 1D lattice where each site adopts the color of its left neighbor according to independent exponential clocks.
Time: 0.00
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)
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)
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))