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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 analyze the applicability of the Rosenfeld entropy scaling relations to the systems with the core-softened potentials demonstrating the water-like anomalies. It is shown that the validity of the of Rosenfeld scaling relation for the…

Soft Condensed Matter · Physics 2010-04-13 Yu. D. Fomin V. N. Ryzhov

With the use of thermodynamics and general equilibrium conditions only, we study the entropy of a fluid in the vicinity of the critical point of the liquid-vapor phase transition. By assuming a general form for the coexistence curve in the…

Statistical Mechanics · Physics 2021-06-16 J. C. Obeso-Jureidini , D. Olascoaga , V. Romero-Rochín

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…

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

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…

Statistical Mechanics · Physics 2013-09-24 YounJoon Jung , Soree Kim , Juan P. Garrahan , David Chandler

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

Kinetically constrained models (KCMs) have gained much interest as models that assign the origins of interesting dynamic properties of supercooled liquids to dynamical facilitation mechanisms that have been revealed in many expreiments and…

Soft Condensed Matter · Physics 2015-10-22 Seo-Woo Choi , Soree Kim , YounJoon Jung

Predicting transport from equilibrium structure is a challenging problem in liquid state physics. Here we probe a glass forming liquid composed of self-propelled "active" particles and show that increasing the duration of self-propulsion…

Soft Condensed Matter · Physics 2019-12-04 Sachin C. N. , Ashwin Joy

We study diffusive mixing in the presence of thermal fluctuations under the assumption of large Schmidt number. In this regime we obtain a limiting equation that contains a diffusive thermal drift term with diffusion coefficient obeying a…

Statistical Mechanics · Physics 2015-06-18 A. Donev , T. G. Fai , E. Vanden-Eijnden

Thermal activation of dislocations is critical for predicting the mechanical response of materials under common experimental conditions. According to transition state theory (TST), the rate for the system to overcome free energy barriers…

Materials Science · Physics 2025-07-03 Mohammadhossein Nahavandian , Liam Myhill , Enrique Martinez

Entropy scaling is a powerful technique that has been used for predicting transport properties of pure components over a wide range of states. However, modeling mixture diffusion coefficients by entropy scaling is an unresolved task. We…

Chemical Physics · Physics 2026-04-03 Sebastian Schmitt , Hans Hasse , Simon Stephan

According to excess-entropy scaling, dynamic properties of liquids like viscosity and diffusion coefficient are determined by the entropy. This link between dynamics and thermodynamics is increasingly studied and of interest also for…

Soft Condensed Matter · Physics 2024-08-13 Ian M. Douglass , Jeppe C. Dyre , Lorenzo Costigliola

In this Research Note the Zwanzig's formulation of the Stokes-Einstein (SE) relation for simple atomistic fluids is re-examined. It is shown that the value of the coefficient in SE relation depends on the ratio of the transverse and…

Soft Condensed Matter · Physics 2020-04-22 Sergey Khrapak

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

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

Among the numerous anomalies of water, the acceleration of dynamics under pressure is particularly puzzling. Whereas the diffusivity anomaly observed in experiments has been reproduced in several computer studies, the parallel viscosity…

We introduce and validate a finite-size two-body excess entropy integral equation. By using analytical arguments and computer simulations of prototypical simple liquids, we show that the excess entropy $s_2$ exhibits a finite-size scaling…

Soft Condensed Matter · Physics 2023-06-07 Mauricio Sevilla , Atreyee Banerjee , Robinson Cortes-Huerto

It is demonstrated that properly reduced transport coefficients (self-diffusion, shear viscosity, and thermal conductivity) of Lennard-Jones fluids along isotherms exhibit quasi-universal scaling on the density divided by its value at the…

Soft Condensed Matter · Physics 2021-09-30 S. A. Khrapak , A. G. Khrapak

Molecular dynamics computer simulation has been used to compute the self-diffusion coefficient, and shear viscosity of soft-sphere fluids, in which the particles interact through the soft-sphere or inverse power pair potential. The…

Soft Condensed Matter · Physics 2010-03-22 Yu. D. Fomin , V. V. Brazhkin , V. N. Ryzhov