Fractal dimension of steady nonequilibrium flows

The Kaplan–Yorke information dimension of phase‐space attractors for two kinds of steady nonequilibrium many‐body flows is evaluated. In both cases a set of Newtonian particles is considered which interacts with boundary particles. Time‐averaged boundary temperatures are imposed by Nosé–Hoover therm...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 1992-04, Vol.2 (2), p.245-252
Main Authors: Hoover, William G., Posch, Harald A., Hoover, Carol G.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics, Applied
Physical Sciences
Physics
Physics, Mathematical
Science & Technology
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Summary:The Kaplan–Yorke information dimension of phase‐space attractors for two kinds of steady nonequilibrium many‐body flows is evaluated. In both cases a set of Newtonian particles is considered which interacts with boundary particles. Time‐averaged boundary temperatures are imposed by Nosé–Hoover thermostat forces. For both kinds of nonequilibrium systems, it is demonstrated numerically that external isothermal boundaries can drive the otherwise purely Newtonian flow onto a multifractal attractor with a phase‐space information dimension significantly less than that of the corresponding equilibrium flow. Thus the Gibbs’ entropy of such nonequilibrium flows can diverge.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.165910