4 results about "Boltzmann distribution" patented technology

In statistical mechanics and mathematics, a Boltzmann distribution (also called Gibbs distribution) is a probability distribution or probability measure 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 distribution is expressed in the form: pᵢ∝e⁻ɛᵢ/ᵏᵀ where pᵢ is the probability of the system being in state i, εᵢ is the energy of that state, and a constant kT of the distribution is the product of Boltzmann's constant k and thermodynamic temperature T. The symbol ∝ denotes proportionality (see § The distribution for the proportionality constant).