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The Stokes-Einstein (SE) relation is commonly regarded as being breakdown in supercooled water. However, this conclusion is drawn upon testing the validities of some variants of the SE relation rather than its original form, and it appears…

Soft Condensed Matter · Physics 2021-11-24 Gan Ren , Yanting Wang

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

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

Breakdown of Stokes-Einstein relation in supercooled liquids is believed to be one of the hallmarks of glass transition. The phenomena is studied in depth over many years to understand the microscopic mechanism without much success.…

Statistical Mechanics · Physics 2016-08-03 Bhanu Prasad Bhowmik , Rajsekhar Das , Smarajit Karmakar

We study the Stokes-Einstein (SE) and the Stokes-Einstein-Debye (SED) relations using molecular dynamics simulations of the extended simple point charge model of water. We find that both the SE and SED relations break down at low…

Statistical Mechanics · Physics 2007-06-01 Marco G. Mazza , Nicolas Giovambattista , H. Eugene Stanley , Francis W. Starr

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…

Statistical Mechanics · Physics 2015-06-12 Shiladitya Sengupta , Smarajit Karmakar , Chandan Dasgupta , Srikanth Sastry

The Stokes-Einstein-Debye (SED) relation is proposed to be breakdown in supercooled liquids by many studies. However, the conclusions are usually drawn by testing some variants of the SED relation rather than its original form. In this…

Soft Condensed Matter · Physics 2024-04-23 Gan Ren

The violation of Stokes--Einstein (SE) relation $D\sim (\eta/T)^{-1}$ between the shear viscosity $\eta$ and the translational diffusion constant $D$ at temperature $T$ is of great importance for characterizing anomalous dynamics of…

Soft Condensed Matter · Physics 2017-08-22 Takeshi Kawasaki , Kang Kim

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

Molecular Dynamics simulations of high density hard sphere fluids clearly show a breakdown of the Stokes-Einstein equation (SE). This result has been conjectured to be due to the presence of mobile particles, i.e., ones which have the…

Materials Science · Physics 2009-11-11 Sanat K. Kumar , Grzegorz Szamel , Jack F. Douglas

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

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

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 diffusion of glycerol molecules decreases with decreasing temperature as its viscosity increases in a manner simply described by the Stokes-Einstein(SE) relation. Approaching the glass transition, this relation breaks down as it does…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bo Chen , Eric E. Sigmund , W. P. Halperin

We investigate the dynamical properties of liquid and supercooled liquid silicon, modeled using the Stillinger-Weber (SW) potential, to examine the validity of the Stokes-Einstein (SE) relation. Towards this end, we examine the relationship…

Materials Science · Physics 2025-03-25 Himani Rautela , Shiladitya Sengupta , Vishwas V. Vasisht

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

We review the Random First Order Transition Theory of the glass transition, emphasizing the experimental tests of the theory. Many distinct phenomena are quantitatively predicted or explained by the theory, both above and below the glass…

Disordered Systems and Neural Networks · Physics 2015-06-25 Vassiliy Lubchenko , P. G. Wolynes

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

Among all fluids, water has always been of special concern for scientists from a broad variety of research fields due to its rich behavior. In particular, some questions remain unanswered nowadays concerning the temperature dependence of…

Chemical Physics · Physics 2022-07-06 Cecilia Herrero , Michela Pauletti , Gabriele Tocci , Marcella Iannuzzi , Laurent Joly
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