Dynamical and Probabilistic Approaches to Irreversibility

Boltzmann’s H-theorem is considered a great triumph of science. Though some modifications are necessary to adapt it modern dynamical theories, well established that one its main tenets remains widely accepted: the introduction probability key element in achieving transition from time-reversible, deterministic laws at microscopic level irreversible describing approach equilibrium isolated macroscopic systems. Thus, somehow surprising we still find instances where this subject labeled as paradoxical and elusive. More remarkable fact often happens texts succeed presenting ideas with clarity. In order shed light on how allows us go form reversibility irreversibility, use numerical results two-dimensional lattice gas composed distinguishable particles. We discuss roles played by noise, coarse graining, probability. The simplicity our model might help newcomer area better grasping fundamental breakthrough.