Chaos and irreversibility in simple model systems

1998/06/01 by Wm. G. Hoover, Harald A. Posch · 1 voice · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum many-body systems #Statistical Mechanics and Entropy

paper · doi:10.1063/1.166318

openalex publication_date 1998/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11

Abstract

The multifractal link between chaotic time-reversible mechanics and thermodynamic irreversibility is illustrated for three simple chaotic model systems: the Baker Map, the Galton Board, and many-body color conductivity. By scaling time, or the momenta, or the driving forces, it can be shown that the dissipative nature of the three thermostated model systems has analogs in conservative Hamiltonian and Lagrangian mechanics. Links between the microscopic nonequilibrium Lyapunov spectra and macroscopic thermodynamic dissipation are also pointed out. (c) 1998 American Institute of Physics.

Citations

• The computer study of transport processes under extreme conditions

Cited by

• Irreversibility in a simple reversible model

Discussions

• 2/5 Recently (90s), deterministic chaos with reversible dynamics was shown to induce irreversibility at the statistical level!This also explains why molecular dynamics captures irreversible processes! [bsky, 0 points, 1 comments]