Isomorphic multifractal shear flows for hard disks via adiabatic and isokinetic nonequilibrium molecular dynamics

Journal Article · Fri May 01 00:00:00 EDT 1998 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.57.4969· OSTI ID:627902

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

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1. Department of Chemistry, University of California at Berkeley, Berkeley, California94720 (United States)
2. Department of Applied Science, University of California at Davis--Livermore and Lawrence Livermore National Laboratory, Livermore, California94551-7808 (United States)
3. Institute for Experimental Physics, University of Vienna, Boltzmanngasse 5, WienA-1090 (Austria)

Identical particle trajectories can result from driven shear flows of two different types: (i) thermostatted flows, simulating a nonequilibrium steady state, and (ii) adiabatic flows, in which the irreversible heating associated with viscous work is not extracted from the system. This trajectory isomorphism applies to shears of hard particles, such as hard disks and spheres. Here we simulate such isomorphic shear flows. We also discuss the associated instantaneous Lyapunov spectra, which are not isomorphic. We extrapolate the dissipative hard-disk spectra to the large-system limit. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 627902
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 57, Issue 5; Other Information: PBD: May 1998
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
SHEAR
FRACTALS
ADIABATIC PROCESSES
MOLECULAR DYNAMICS METHOD
UNSTEADY FLOW
LYAPUNOV METHOD
SPECTRA
TRAJECTORIES