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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

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

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 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

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

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 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 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

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

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…

Soft Condensed Matter · Physics 2018-05-09 F. Puosi , A. Pasturel , N. Jakse , D. Leporini

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…

Statistical Mechanics · Physics 2007-05-23 YounJoon Jung , Juan P. Garrahan , David Chandler

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

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

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 (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

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

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

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

Phase change materials are exploited in non-volatile electronic memories and photonic devices that rely on a fast and reversible transformation between the amorphous and crystalline phase upon heating. The recrystallization of the amorphous…

Disordered Systems and Neural Networks · Physics 2025-10-24 Simone Marcorini , Rocco Pomodoro , Omar Abou El Kheir , Marco Bernasconi

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
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