TITLE

Breakdown of the Stokes-Einstein relation in two, three, and four dimensions

AUTHOR(S)
Sengupta, Shiladitya; Karmakar, Smarajit; Dasgupta, Chandan; Sastry, Srikanth
PUB. DATE
March 2013
SOURCE
Journal of Chemical Physics;Mar2013, Vol. 138 Issue 12, p12A548
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The breakdown of the Stokes-Einstein (SE) relation between diffusivity and viscosity at low temperatures is considered to be one of the hallmarks of glassy dynamics in liquids. Theoretical analyses relate this breakdown with the presence of heterogeneous dynamics, and by extension, with the fragility of glass formers. We perform an investigation of the breakdown of the SE relation in 2, 3, and 4 dimensions in order to understand these interrelations. Results from simulations of model glass formers show that the degree of the breakdown of the SE relation decreases with increasing spatial dimensionality. The breakdown itself can be rationalized via the difference between the activation free energies for diffusivity and viscosity (or relaxation times) in the Adam-Gibbs relation in three and four dimensions. The behavior in two dimensions also can be understood in terms of a generalized Adam-Gibbs relation that is observed in previous work. We calculate various measures of heterogeneity of dynamics and find that the degree of the SE breakdown and measures of heterogeneity of dynamics are generally well correlated but with some exceptions. The two-dimensional systems we study show deviations from the pattern of behavior of the three- and four-dimensional systems both at high and low temperatures. The fragility of the studied liquids is found to increase with spatial dimensionality, contrary to the expectation based on the association of fragility with heterogeneous dynamics.
ACCESSION #
86446723

 

Related Articles

  • The dynamics of a viscous vortex dipole. Delbende, Ivan; Rossi, Maurice // Physics of Fluids;Jul2009, Vol. 21 Issue 7, p073605 

    The structure of a two-dimensional viscous dipole is accurately analyzed using both numerical simulations and theoretical analyses. First, a model is proposed, which computes the dipole velocity and the vortex ellipticity based on a heuristic relation between a vortex patch and a vortex with...

  • Ripples of AA and AB stacking bilayer graphenes. Chang, X.; Ge, Y.; Dong, J. M. // European Physical Journal B -- Condensed Matter;Nov2010, Vol. 78 Issue 1, p103 

    Using the classical molecular dynamics simulations, we have investigated the thermally-excited ripples of the AA- and AB-stacking bilayer graphenes (BLGs) at different temperatures, and compared them with those of the single layer graphene (SLG). It is found that: (1) the ripples in both AA- and...

  • MODELLING SEA ICE GROWTH. McGuinness, Mark J. // ANZIAM Journal;2009, Vol. 50 Issue 3, p306 

    The freezing of water to ice is a classic problem in applied mathematics, involving the solution of a diffusion equation with a moving boundary. However, when the water is salty, the transport of salt rejected by ice introduces some interesting twists to the tale. A number of analytic models for...

  • Fluid simulation of relativistic electron beam driven wakefield in a cold plasma. Bera, Ratan Kumar; Sengupta, Sudip; Das, Amita // Physics of Plasmas;2015, Vol. 22 Issue 7, p1 

    Excitation of wakefield in a cold homogeneous plasma, driven by an ultra-relativistic electron beam is studied in one dimension using fluid simulation techniques. For a homogeneous rigid beam having density (nb) less than or equal to half the plasma density (n0), simulation results are found to...

  • Subfilter-Scale Fluxes over a Surface Roughness Transition. Part II: A priori Study of Large-Eddy Simulation Models. Carper, Matthew A.; Porté-Agel, Fernando // Boundary-Layer Meteorology;Apr2008, Vol. 127 Issue 1, p73 

    The ability of subfilter-scale (SFS) models to reproduce the statistical properties of SFS stresses and energy transfers over heterogeneous surface roughness is key to improving the accuracy of large-eddy simulations of the atmospheric boundary layer. In this study, several SFS models are...

  • Computational Fluid Dynamics Modeling of High Viscous Feed Fluid in Rotating Corrugated Membrane Channel: Shear Stress Effect. Ahmad, A.L.; Ban, Z.H.; Ooi, B.S. // Journal of Applied Sciences;2011, Vol. 11 Issue 21, p3640 

    Shear stress on the membrane surface has been proven very important in reducing concentration polarization and cake layer formation in membrane processes. This paper investigates the effect of rotation of membrane channels with high viscous feed solution on the membrane shear stress using...

  • Equilibration of Two-Dimensional Double-Diffusive Intrusions. Simeonov, Julian; Stern, Melvin E. // Journal of Physical Oceanography;Mar2007, Vol. 37 Issue 3, p625 

    This paper considers the equilibration of lateral intrusions in a doubly diffusive fluid with uniform unbounded basic-state gradients in temperature and salinity. These are density compensated in the horizontal direction and finger favorable in the vertical direction. Previous nonlinear studies...

  • EXTENDING THE BEJAN NUMBER TO A GENERAL FORM. AWAD, Mohamed M.; LAGE, Jose L. // Thermal Science;2013, Vol. 17 Issue 2, p631 

    A modified form of the Bejan number, originally proposed by Bhattacharjee and Grosshandler for momentum processes, is obtained by replacing the dynamic viscosity appearing in the original proposition with the equivalent product of the fluid density and the momentum diffusivity of the fluid. This...

  • Application of proper orthogonal decomposition to reduce detailed CFD models of glass furnaces and forehearths. Op den camp, O. M. G. C.; Verheijen, O. S.; Huisman, L.; Backx, A. C. P. M. // Glass Technology: European Journal of Glass Science & Technology;Jun2008, Vol. 49 Issue 3, p119 

    The steady state and dynamic behaviour (heat transfer, temperatures, glass and gasdqows) in glass furnaces and forehearths can be described accurately and reliably by computational fluid dynamics (CFD) models such as the TNO Glass Tank Model (GTM X). CFD models are based on the numerical...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics