Written by the Fiveable Content Team • Last updated August 2025
Written by the Fiveable Content Team • Last updated August 2025
Definition
Boltzmann is a physicist renowned for his foundational contributions to statistical mechanics and thermodynamics. He introduced the Boltzmann constant, which links the average kinetic energy of particles in a gas with temperature.
Ludwig Boltzmann formulated the statistical definition of entropy, represented as $S = k_B \ln \Omega$, where $S$ is entropy, $k_B$ is the Boltzmann constant, and $\Omega$ is the number of microstates.
The Boltzmann constant ($k_B$) has a value of approximately $1.38 \times 10^{-23}$ J/K.
Boltzmann's work helps explain the second law of thermodynamics, particularly that systems tend toward higher entropy.
He developed the Maxwell-Boltzmann distribution, describing particle speeds in idealized gases.
Boltzmann’s theories laid the foundation for modern statistical mechanics, bridging macroscopic and microscopic physical properties.