# Boltzmann factor

## Description

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. The Boltzmann distribution appears in statistical mechanics when considering isolated (or nearly-isolated) systems of fixed composition that are in thermal equilibrium (equilibrium with respect to energy exchange).

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.

## Variables

F_{state2} | Boltzmann distribution in state 2 (dimensionless) |

F_{state1} | Boltzmann distribution in state 1 (dimensionless) |

e | e |

E_{1} | Energy in state 1 (J) |

E_{2} | Energy in state 2 (J) |

k | Boltzmann constant |

T | The absolute temperature (K) |