Gibbs distributions

Gibbs distributions are a way to assign probabilities to different configurations or states of a system based on their energy levels. In this framework, states with lower energy are more likely, while higher-energy states are less probable. This concept is fundamental in statistical mechanics, helping us understand how particles or components behave at different temperatures. The distribution balances energy and randomness, effectively predicting the likelihood of each state. Think of it as a mathematical tool that explains why certain arrangements occur more frequently in nature, especially in systems where temperature and energy influence behavior.