Entropy, Nonequilibrium, Chaos and Infinitesimals
Giovanni Gallavotti
TL;DR
This paper reviews how Boltzmann's ensemble theory and the ergodic hypothesis underpin the understanding of chaos as a fundamental principle connecting equilibrium and nonequilibrium statistical mechanics.
Contribution
It provides a comprehensive survey of the role of chaos and ergodicity in unifying equilibrium and nonequilibrium statistical mechanics.
Findings
Chaoticity underpins the transition between equilibrium and nonequilibrium states.
Ergodic hypothesis supports the statistical foundation of thermodynamics.
Entropy concepts are linked to chaos and infinitesimals.
Abstract
A survey of the approach to Statistical Mechanics following Boltzmann's theory of ensembles and ergodic hypothesis leading to chaoticity as a unifying principle of equilibrium and nonequilibrium Statistical Mechanics.
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