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The Stokes-Einstein (SE) relation between the self-diffusion and shear viscosity coefficients operates in sufficiently dense liquids not too far from the liquid-solid phase transition. By considering four simple model systems with very…

Soft Condensed Matter · Physics 2021-10-27 Sergey Khrapak , Alexey Khrapak

The Stokes-Einstein relation, relating the diffusion and viscosity coefficients D and eta, is tested in two dimensions. An equilibrium molecular-dynamics simulation was used with a Yukawa pair potential. Regimes are identified where motion…

Soft Condensed Matter · Physics 2009-11-11 Bin Liu , J. Goree

We investigate the experimental limits of validity of the Stokes-Einstein equation. There is an important difference between diffusion and self-diffusion. There are experimental evidences, that in the case of self-diffusion the product D /T…

Chemical Physics · Physics 2015-05-13 I. Avramov

Stokes-Einstein (SE) relation, which relates diffusion constant with the viscosity of a liquid at high temperatures in equilibrium, is violated in the supercooled temperature regime. Whether this relation is obeyed in nonequilibrium active…

Soft Condensed Matter · Physics 2023-06-21 Anoop Mutneja , Smarajit Karmakar

We report measurements of the shear viscosity $\eta$ in water up to $150\,\mathrm{MPa}$ and down to $229.5\,\mathrm{K}$. This corresponds to more than $30\,\mathrm{K}$ supercooling below the melting line. The temperature dependence is…

Soft Condensed Matter · Physics 2023-09-19 Alexandre Mussa , Romain Berthelard , Frédéric Caupin , Bruno Issenmann

Understanding diffusion in liquids from properties of static structure is a long standing problem in condensed matter theory. Here we report an atomistic study of excess entropy and diffusion coefficient in a strongly coupled Yukawa liquid.…

Plasma Physics · Physics 2017-09-13 Ashwin Joy

The application of amorphous chalcogenide alloys as data-storage media relies on their ability to undergo an extremely fast (10-100 ns) crystallisation once heated at sufficiently high temperature. However, the peculiar features that make…

Disordered Systems and Neural Networks · Physics 2015-06-05 Gabriele C. Sosso , Joerg Behler , Marco Bernasconi

It is demonstrated that self-diffusion and shear viscosity data for the TIP4P/Ice water model reported recently [L. Baran, W. Rzysko and L. MacDowell, J. Chem. Phys. {\bf 158}, 064503 (2023)] obey the microscopic version of the…

Statistical Mechanics · Physics 2023-08-02 Sergay Khrapak , Alexey Khrapak

By confining water in nanopores, so narrow that the liquid cannot freeze, it is possible to explore its properties well below its homogeneous nucleation temperature TH ~ 235 K. In particular, the dynamical parameters of water can be…

Soft Condensed Matter · Physics 2007-05-23 Sow-Hsin Chen , Francesco Mallamace , Chung-Yuan Mou , Matteo Broccio , Carmelo Corsaro , Antonio Faraone , Li Liu

We study the motion of a tracer particle injected in facilitated models which are used to model supercooled liquids in the vicinity of the glass transition. We consider the East model, FA1f model and a more general class of non-cooperative…

Statistical Mechanics · Physics 2015-06-16 Oriane Blondel , Cristina Toninelli

Supercooled water exhibits a breakdown of the Stokes-Einstein relation between the diffusion constant $D$ and the alpha relaxation time $\tau_{\alpha}$. For water simulated with the TIP5P and ST2 potentials, we find that the temperature of…

Soft Condensed Matter · Physics 2007-05-23 Pradeep Kumar , S. V. Buldyrev , S. R. Becker , P. H. Poole , F. W. Starr , H. E. Stanley

The Stokes-Einstein relation for the self-diffusion coefficient of a spherical particle suspended in an incompressible fluid is an asymptotic result in the limit of large Schmidt number, that is, when momentum diffuses much faster than the…

Soft Condensed Matter · Physics 2015-06-17 F. Balboa Usabiaga , X. Xie , R. Delgado-Buscalioni , A. Donev

We investigate the origin of the violation of the Stokes-Einstein (SE) relation in two-dimensional Yukawa liquids. Using comprehensive molecular dynamics simulations, we identify the time scales supporting the violation of the SE relation…

Soft Condensed Matter · Physics 2021-04-13 Zahra Ghannad

We present Monte Carlo simulation results on the equilibrium relaxation of the two dimensional lattice Coulomb gas with fractional charges, which exhibits a close analogy to the primary relaxation of fragile supercooled liquids. Single…

Statistical Mechanics · Physics 2007-05-23 S. J. Lee , B. Kim , J. -R. Lee

It is widely believed that the breakdown of the Stokes-Einstein (SE) relation between the translational diffusivity and the shear viscosity in supercooled liquids is due to the development of dynamic heterogeneity i.e. the presence of both…

Statistical Mechanics · Physics 2015-06-12 Shiladitya Sengupta , Smarajit Karmakar

The description of molecular motion by macroscopic hydrodynamics has a long and continuing history. The Stokes-Einstein relation between the diffusion coefficient of a solute and the solvent viscosity predicted using macroscopic continuum…

Disordered Systems and Neural Networks · Physics 2007-05-23 Xiaoyu Xia , Peter G. Wolynes

The interplay between self-diffusion and excitation lines in space-time was recently studied in kinetically constrained models to explain the breakdown of the Stokes-Einstein law in supercooled liquids. Here, we further examine this…

Statistical Mechanics · Physics 2009-11-10 Ludovic Berthier , David Chandler , Juan P. Garrahan

We investigate the dimensional dependence of dynamical fluctuations related to dynamic heterogeneity in supercooled liquid systems using kinetically constrained models. The $d$-dimensional spin-facilitated East model with embedded probe…

Statistical Mechanics · Physics 2017-09-13 Soree Kim , Dayton G. Thorpe , Juan P. Garrahan , David Chandler , YounJoon Jung

The dynamic properties of liquid phase-change materials (PCMs), such as viscosity $\eta$ and atomic self-diffusion coefficients D, play an essential role in ultrafast phase switching behavior of novel non-volatile phase-change memory…

Materials Science · Physics 2019-01-31 Shuai Wei , Zach Evenson , Moritz Stolpe , Pierre Lucas , C. Austen Angell

Crystallization kinetics has features that are universal and independent of the type of crystallized system. The possibility of using scaling relations to describe the temperature dependences of the surface self-diffusion coefficient $D_s$,…

Materials Science · Physics 2020-01-07 Anatolii V. Mokshin , Bulat N. Galimzyanov , Dinar T. Yarullin
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