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This article aims at revisiting, with the aid of simple and neat numericalexamples, some of the basic features of macroscopic irreversibility, and, thus,of the mechanical foundation of the second principle of thermodynamics as drawnby Boltzmann. Emphasis will be put on the fact that, in systems characterizedby a very large number of degrees of freedom, irreversibility is alreadymanifest at a single-trajectory level for the vast majority of thefar-from-equilibrium initial conditions - a property often referred to astypicality. We also discuss the importance of the interaction among themicroscopic constituents of the system and the irrelevance of chaos toirreversibility, showing that the same irreversible behaviours can be observedboth in chaotic and non-chaotic systems.

The role of the number of degrees of freedom and chaos in macroscopic irreversibility