Ecosyste.ms: Awesome
An open API service indexing awesome lists of open source software.
https://github.com/blagojeblagojevic/ising-model
C implementation of the Ising model
https://github.com/blagojeblagojevic/ising-model
c ising-model ising-model-2d sdl sdl2
Last synced: about 1 month ago
JSON representation
C implementation of the Ising model
- Host: GitHub
- URL: https://github.com/blagojeblagojevic/ising-model
- Owner: BlagojeBlagojevic
- License: mit
- Created: 2023-10-04T17:29:16.000Z (over 1 year ago)
- Default Branch: main
- Last Pushed: 2024-01-05T08:18:31.000Z (about 1 year ago)
- Last Synced: 2024-01-05T09:29:42.225Z (about 1 year ago)
- Topics: c, ising-model, ising-model-2d, sdl, sdl2
- Language: C
- Homepage:
- Size: 1.8 MB
- Stars: 1
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
Awesome Lists containing this project
README
# Ising Model Simulation using SDL2
This repository contains a C implementation of the Ising model simulation, a mathematical model in statistical mechanics describing ferromagnetism. The simulation utilizes the Metropolis algorithm to update the spins of a 2D lattice. The visualization is done using the SDL2 library, allowing for real-time rendering of the Ising model evolution.
## Prerequisites
* SDL2 library
* C compiler
## How to Use
1. Clone the repository: git clone https://github.com/username/repo.git
2. Compile the code using a C compiler: gcc main.c -o ising -lSDL2 -lm
3. Run the executable: ./ising
## Parameters
* ***T (Temperature)***: The temperature of the system, which affects the behavior of spins. Input the desired temperature during program execution.
* ***J (Interaction Strength)***: The interaction strength between neighboring spins. Input the desired value during program execution.
* ***Distribution of Spins***: Set the initial distribution of spins (0 - 1). Spins are randomly initialized based on this distribution
## How it Works
* The Ising model consists of discrete variables representing magnetic dipole moments of atomic spins, which can be in one of two states: up (+1) or down (-1).
* Spins are updated using the Metropolis algorithm, which calculates the change in energy for a spin flip and decides whether to accept or reject the flip based on the energy change and temperature.
* The simulation runs indefinitely, continuously updating spins and visualizing the evolving state of the system.
## Note
* The code contains a basic implementation of the Ising model and may not cover all edge cases or optimizations.
* Feel free to modify and experiment with the code to explore different aspects of the Ising model simulation.
## References
* https://en.wikipedia.org/wiki/Ising_model
* https://www.youtube.com/watch?v=vwLb3XlPCB4
* https://en.wikipedia.org/wiki/Metropolis%E2%80%93Hastings_algorithm
* https://www.libsdl.org/
