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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

The theories of Brownian motion, the Debye rotational diffusion model, and hydrodynamics together provide us with the Stokes--Einstein--Debye (SED) relation between the rotational relaxation time of the $\ell$-th degree Legendre polynomials…

Soft Condensed Matter · Physics 2019-06-03 Takeshi Kawasaki , Kang Kim

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

Molecular dynamics simulations are performed on a system of model linear polymers to look at the violations of Stokes-Einstein (SE) and Stokes-Einstein-Debye (SED) relations near the mode coupling theory transition temperature $T_c$ at…

Soft Condensed Matter · Physics 2020-11-10 Jalim Singh , Prasanth P. Jose

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

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

Water displays breakdown of the Stokes-Einstein relation at low temperatures. We hypothesize that the breakdown is a result of the structural changes and a sharp rise in dynamic heterogeneities that occurs low T upon crossing the Widom…

Soft Condensed Matter · Physics 2007-05-23 Pradeep Kumar

We examine the role of shape of dynamical heterogeneities on the validity of the Stokes-Einstein (SE) and Stokes-Einstein-Debye (SED) relations in quasi-two-dimensional suspensions of colloidal ellipsoids. For ellipsoids with repulsive…

Soft Condensed Matter · Physics 2024-08-13 Chandan K Mishra , Rajesh Ganapathy

We study the breakdown of the Stokes-Einstein (SE) and Debye-Stokes-Einstein (DSE) relations for translational and rotational motion in a prototypical model of a network-forming liquid, the ST2 model of water. We find that the emergence of…

Soft Condensed Matter · Physics 2009-11-11 Stephen R. Becker , Peter H. Poole , Francis W. Starr

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

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

Here we propose a kinetic framework for interpreting the Stokes-Einstein (SE) relation breakdown in supercooled liquids by introducing an effective collision diameter, $d_{\mathrm{eff}}$, derived from transport data. Numerical simulation of…

Soft Condensed Matter · Physics 2026-01-21 Zhen-Wei Wu

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 effective hydrodynamic radius is usually assumed to be a constant in testing the Stokes-Einstein relation by its variants. We have performed molecular dynamics simulations with ortho-terphenyl and Kob-Andersen model to examine the…

Soft Condensed Matter · Physics 2022-01-19 Gan Ren

Molecular dynamics simulations have been performed on TIP4P/2005 supercooled water to investigate the molecular diffusion and shear viscosity at various timescales and assess the Stokes-Einstein (SE) and Stokes-Einstein-Debye (SED)…

Soft Condensed Matter · Physics 2019-08-12 Takeshi Kawasaki , Kang Kim

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

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

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

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 relation (SER) is one of the most robust and widely employed results from the theory of liquids. Yet sizable deviations can be observed for self-solvation, which cannot be explained by the standard hydrodynamic…

Statistical Mechanics · Physics 2018-06-15 Benoit Charbonneau , Patrick Charbonneau , Grzegorz Szamel
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