: He proved that for a gas evolving toward equilibrium, can only decrease or remain constant over time ( Significance : Since is proportional to negative entropy ( −Snegative cap S ), a decrease in
(later identified as the negative of entropy), for an ideal gas. : Boltzmann defined is the distribution of molecular velocities. Ludwig Boltzmann, 1844—1906, Whose H theorem - ...
corresponds to a monotonic increase in entropy as the system reaches its most probable state: the . Controversies and Paradoxes : He proved that for a gas evolving