Boltzmann factor in mechanics
In statistical mechanics and mathematics, a Boltzmann distribution (also called Gibbs distribution) is a probability distribution, probability measure, or frequency distribution of particles in a system over various possible states.
In statistical mechanics, the Boltzmann distribution is a probability distribution that gives the probability that a system will be in a certain state as a function of that state’s energy and the temperature of the system.
The ratio of a Boltzmann distribution computed for two states is known as the Boltzmann factor and characteristically only depends on the states’ energy difference. it is expressed as shownRelated formulas
|Fstate1||Boltzmann distribution of state 1 (dimensionless)|
|Fstate2||Boltzmann distribution of state 2 (dimensionless)|
|E1||state 1 energy (J)|
|E2||state 2 energy (J)|
|T||temperature of the system (K)|