Chaotic Dynamics and the Origin of Statistical Laws

Abstract

The problem of the foundation of statistical physics emerged with the derivation by Ludwig Boltzmann of a kinetic equation for a gas of molecules that required monotonic growth of entropy. Boltzmann's theory leads to modern thermodynamics, and, for example, to the impossibility of gas spontaneously gathering in one part of a container in the absence of external forces. This result, known as the H-theorem, met with strong contemporary opposition, especially from mathematician Ernst Zermelo.