Fractal dimension of steady nonequilibrium flows

Journal Article · Wed Apr 01 04:00:00 EST 1992 · Chaos; (United States)

DOI:https://doi.org/10.1063/1.165910· OSTI ID:7262140

Hoover, W G ^[1]; Posch, H A ^[2]; Hoover, C G ^[3]

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1. Department of Applied Science, Post Office Box 808, University of California at Davis-Livermore, California 94550 (United States)
2. Institute for Experimental Physics, Boltzmanngasse 5, University of Vienna, Vienna A-1090 (Austria)
3. Methods Development Group, Mechanical Engineering Department, Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)

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 Nose--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 {ital multifractal} {ital 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.

• OSTI ID: 7262140
• Journal Information: Chaos; (United States), Journal Name: Chaos; (United States) Vol. 2:2; ISSN XZ146
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
COMPUTER CALCULATIONS
ENTROPY
FRACTALS
HEAT FLOW
MANY-BODY PROBLEM
MATHEMATICAL SPACE
PHASE SPACE
PHYSICAL PROPERTIES
SPACE
STEADY-STATE CONDITIONS
THERMODYNAMIC PROPERTIES