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Lacks DJ. Stokes-Einstein-like relation for athermal systems and glasses under shear. Phys Rev E Stat Nonlin Soft Matter Phys. 2002;66(5):051202doi: 10.1103/PhysRevE.66.051202.
Lacks, D. J. (2002). Stokes-Einstein-like relation for athermal systems and glasses under shear. Physical review. E, Statistical, nonlinear, and soft matter physics, 66(5), 051202. https://doi.org/10.1103/PhysRevE.66.051202
Lacks, Daniel J. "Stokes-Einstein-like relation for athermal systems and glasses under shear." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 66,5 (2002): 051202. doi: https://doi.org/10.1103/PhysRevE.66.051202
Lacks DJ. Stokes-Einstein-like relation for athermal systems and glasses under shear. Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Nov;66(5):051202. doi: 10.1103/PhysRevE.66.051202. Epub 2002 Nov 13. PMID: 12513474.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Nov;66(5):051202. doi: 10.1103/PhysRevE.66.051202. Epub 2002 Nov 13.

Stokes-Einstein-like relation for athermal systems and glasses under shear.

Physical review. E, Statistical, nonlinear, and soft matter physics

Daniel J Lacks

Affiliations

  1. Department of Chemical Engineering, Tulane University, New Orleans, Louisiana 70118, USA.

PMID: 12513474 DOI: 10.1103/PhysRevE.66.051202

Abstract

Finite temperature and athermal simulations are used to determine the viscosity mu and diffusivity D for systems undergoing shear flow at shear rate gamma and temperature T. Athermal simulations show that mu approximately gamma(-1) and D approximately gamma due to strain-activated relaxations, leading to an athermal Stokes-Einstein-like relation muD=C(ASE). Finite temperature simulations show that at high T the Stokes-Einstein relation muD=C(SE)T is followed, and as T decreases muD diverges in the Newtonian limit, but muD reaches the constant value C(ASE) for finite gamma. These different behaviors of muD suggest that particle dynamics are fundamentally different as jamming is approached by reducing a driving force as opposed to cooling, and that dynamic heterogeneities play a different role in shear-induced dynamics.

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