This simulation generates and analyzes matrices that represent percolation systems. A percolation system is a matrix of cells that are either open or closed. A system percolates if there is a path of open cells from the top row to the bottom row.
- Ensure you have Rust and Cargo installed on your system.
- Clone this repository to your local machine.
- Open a terminal and navigate to the root of the repository.
To run the simulation, use the following command:
cargo build --releaseThis will build the simulation in release mode. To run the simulation, use the following command:
cargo run --release -- --helpThis will print the help message for the simulation. The simulation takes the following arguments:
-n <N>: The number of rows in the matrix. Defaults to 10.-m <M>: The number of columns in the matrix. Defaults to 10.--steps <STEPS>: The number of steps in the simulation. Defaults to 100.--size <SIZE>: The number of simulations to run for each step. Defaults to 1000.-h, --help: Print the help message.-V, --version: Print the version.
The simulation will generate a CSV file called stats.csv
p: The probability of a cell being open.θ(p): The probability that the system percolates.
The simulation will also generate a plot in the plot.png file. This plot
will show the probability of the system percolating as a function of the
probability of a cell being open.