# statistical mechanics
Statistical mechanics explains bulk properties like temperature, pressure and magnetism as the average behaviour of huge numbers of particles, and this tag is where that averaging becomes visible. The Maxwell-Boltzmann Distribution — Kinetic Theory shows a gas's molecular speeds settling into the classic bell-shaped curve as particles collide, while the Gibbs Ensemble — Entropy & Microcanonical Statistics visualizes how entropy counts the microscopic arrangements behind a single macroscopic state. Two takes on the same classic model, Ising Model — Phase Transitions and Ferromagnetism and Ising Model — Phase Transition, let you flip a grid of spins and watch a random tangle of up/down atoms suddenly snap into magnetic order as temperature drops through its critical point.
Found: 5 simulations · 0 articles
🧪 Simulations (5)
📊 Facts
How many statistical mechanics simulations are here?
5 simulation cards, built around two core models: the Maxwell-Boltzmann speed distribution and the Ising spin model (the Ising model appears in two separate versions).
What does the Ising Model actually simulate?
A grid of magnetic spins flipping up or down — both Ising Model entries show ferromagnetic order emerging or collapsing as you cross the model's phase-transition temperature.
What does Maxwell-Boltzmann model?
The distribution of molecular speeds in a gas at thermal equilibrium — the kinetic-theory foundation for temperature itself.
Where does entropy get visualized directly?
Gibbs Ensemble — Entropy & Microcanonical Statistics ties entropy to the number of accessible microstates in an ensemble.
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