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We consider the diffusion constant, D, of a probe particle coupled to the East model, extending previous numerical results for this model to encompass a total of twelve orders of magnitude in relaxation time, {\tau}. Our considerations thus…

统计力学 · 物理学 2013-09-24 YounJoon Jung , Soree Kim , Juan P. Garrahan , David Chandler

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…

软凝聚态物质 · 物理学 2023-06-21 Anoop Mutneja , Smarajit Karmakar

By applying the concept of dynamical facilitation and analyzing the excitation lines that result from this facilitation, we investigate the origin of decoupling of transport coefficients in supercooled liquids. We illustrate our approach…

统计力学 · 物理学 2007-05-23 YounJoon Jung , Juan P. Garrahan , David Chandler

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…

统计力学 · 物理学 2015-06-12 Shiladitya Sengupta , Smarajit Karmakar

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…

软凝聚态物质 · 物理学 2009-11-11 Stephen R. Becker , Peter H. Poole , Francis W. Starr

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…

统计力学 · 物理学 2017-09-13 Soree Kim , Dayton G. Thorpe , Juan P. Garrahan , David Chandler , YounJoon Jung

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.…

统计力学 · 物理学 2016-08-03 Bhanu Prasad Bhowmik , Rajsekhar Das , Smarajit Karmakar

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…

软凝聚态物质 · 物理学 2009-11-11 Bin Liu , J. Goree

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…

软凝聚态物质 · 物理学 2017-08-22 Takeshi Kawasaki , Kang Kim

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…

软凝聚态物质 · 物理学 2026-01-21 Zhen-Wei Wu

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…

材料科学 · 物理学 2025-03-25 Himani Rautela , Shiladitya Sengupta , Vishwas V. Vasisht

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…

统计力学 · 物理学 2015-06-12 Shiladitya Sengupta , Smarajit Karmakar , Chandan Dasgupta , Srikanth Sastry

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…

统计力学 · 物理学 2007-05-23 S. J. Lee , B. Kim , J. -R. Lee

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…

软凝聚态物质 · 物理学 2021-11-24 Gan Ren , Yanting Wang

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…

软凝聚态物质 · 物理学 2021-04-13 Zahra Ghannad

The breakdown of the Stokes-Einstein (SE) law in fragile glassformers is examined by Molecular-Dynamics simulations of atomic liquids and polymers and consideration of the experimental data concerning the archetypical OTP glassformer. All…

软凝聚态物质 · 物理学 2018-05-09 F. Puosi , A. Pasturel , N. Jakse , D. Leporini

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…

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…

软凝聚态物质 · 物理学 2021-10-27 Sergey Khrapak , Alexey Khrapak

The Stokes-Einstein-Sutherland (SES) equation is at the foundation of statistical physics, relating a particle's diffusion coefficient and size with the fluid viscosity, temperature and the boundary condition for the particle-solvent…

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…

统计力学 · 物理学 2007-06-01 Marco G. Mazza , Nicolas Giovambattista , H. Eugene Stanley , Francis W. Starr
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