Gibbs distribution

The Gibbs distribution, also known as the Boltzmann distribution, describes how particles in a system distribute themselves among various energy states. In simple terms, it states that particles are more likely to be found in lower energy states than in higher ones. The likelihood of a particle having a specific energy is related to that energy's amount and a temperature factor; hotter systems show more energy dispersion. This concept is crucial in thermodynamics and statistical mechanics, helping to explain phenomena in everything from gas behavior to phase transitions in materials.