Ludwig Boltzmann

His greatest achievements were the development of statistical me

was an Austrian mathematician

theoretical physicist

The ratio of probabilities of two states is known as the Boltzmann factor and only depends on the states' energy difference: p i p j = exp ⁡ ( − ε i k B T − − ε j k B T ) = exp ⁡ ( ε j − ε i k B T ) . {\displaystyle {\frac {p_{i}}{p_{j}}}=\exp \left({\frac {-\varepsilon _{i}}{k_{\text{B}}T}}-{\frac {-\varepsilon _{j}}{k_{\text{B}}T}}\right)=\exp \left({\frac {\varepsilon _{j}-\varepsilon _{i}}{k_{\text{B}}T}}\right).} The Boltzmann distribution is named after Ludwig Boltzmann, who first formulated it in 1868 during his studies of the statistical mechanics of gases in thermal equilibrium.

The Boltzmann distribution is named after Ludwig Boltzmann, who first formulated it in 1868 during his studies of the statistical mechanics of gases in thermal equilibrium