Gibbs's analysis of irreversibility, and his formulation of Boltzmann's H-theorem and of the ergodic hypothesis, were major influences on the mathematical physics of the 20th century.
Gibsova analiza nepovratnosti, i njegova formulacija Bolcmanove H-teoreme i ergodične hipoteze, izvršili su značajan uticaj na matematičku fiziku 20. veka.