# Chaos and irreversibility in simple model systems.

@article{Hoover1998ChaosAI, title={Chaos and irreversibility in simple model systems.}, author={Wm. G. Hoover and Harald A. Posch}, journal={Chaos}, year={1998}, volume={8 2}, pages={ 366-373 } }

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…

## 29 Citations

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We extend and review recent results on nonequilibrium transport processes described by multibaker maps. The relation of these maps to the dynamics of the Lorentz gas is discussed. Special emphasis is…

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Time-reversible dynamical simulations of nonequilibrium systems exemplify both Loschmidt’s and Zermélo’s paradoxes. That is, computational time-reversible simulations invariably produce solutions…

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Analysis of generalized baker maps, which also have strange attractors but exhibit white noise, is used to support the view that the presence of strange attractor alone is not sufficient for appearance of 1/f noise.

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This work characterize the chaotic properties of atomic fluids subjected to planar mixed flow, which is a linear combination of planar shear and elongational flows, in a constant temperature thermodynamic ensemble and shows that the component associated with the shear tends to selectively excite some of those degrees, and is responsible for violations in the conjugate-pairing rule.

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