This repository contains Python code for simulating the Voter Model with a specified number of votes and lattice size, along with a probability of flipping votes.
The Voter Model is a stochastic model used to describe the evolution of opinion or state among a population of individuals. In this simulation, each cell in a lattice represents an individual, and their vote can evolve based on the votes of their neighbors.
To run the simulation, follow these steps:
- Clone this repository to your local machine.
- Ensure you have Python installed.
- Install the required dependencies by running:
pip install numpy matplotlib seaborn- Run the script
voter_model.py:
python voter_model.pyThe code consists of the following main parts:
- initial_state(v, N): Initializes the lattice with random votes.
- checkflip(r, c, lattice, p, N): Checks if the vote at a given position should flip based on a probability.
- magnetization(lattice, N): Calculates the magnetization of the lattice, i.e., the number of maximum votes.
- step(lattice, N, p, nstep): Simulates the Voter Model for a given number of steps.
- v: Number of votes.
- N: Number of cells in the lattice.
- p: Probability of accepting flipping a vote.
- nstep: Number of simulation steps.
The simulation is visualized using Matplotlib's animation capabilities. Each frame represents a step in the simulation, displaying the updated state of the lattice along with the magnetization.