Time irreversibility from symplectic non-squeezing

Abstract

The issue of how time reversible microscopic dynamics gives rise to macroscopic irreversible processes has been a recurrent issue in Physics since the time of Boltzmann whose ideas shaped, and essentially resolved, such an apparent contradiction. Following Boltzmann's spirit and ideas, but employing Gibbs's approach, we advance the view that macroscopic irreversibility of Hamiltonian systems of many degrees of freedom can be also seen as a result of the symplectic non-squeezing theorem.

20 pages. No figures. Standard LaTeX2e. Version 2: clarification of a point and correction of typos. To be published in Physica A

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Cited by in corpus (6)

• The correlation production in thermodynamics
• Irreversibility from staircases in symplectic embeddings
• Coarse-graining and symplectic non-squeezing
• Toward a relative q-entropy
• Symplectic Coarse-Grained Classical and Semi-Classical Evolution of Subsystems: New Theoretical Aspects
• The correlational entropy production during the local relaxation in a many body system with Ising interactions