2021
DOI: 10.1039/d1cp02866a
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Exploring the validity of the Stokes–Einstein relation in supercooled water using nanomolecular probes

Abstract: The breakdown of Stokes-Einstein relation in liquid water is one of the many anomalies that take place upon cooling and indicates the decoupling of diffusion and viscosity. It is hypothesized...

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Cited by 13 publications
(7 citation statements)
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“…Breakdown of the SER was extensively studied in supercooled water. 92–112 Many of the studies indirectly verified the SER by examining the coupling between the diffusion coefficient D and the α -relaxation time τ α . 93,94,105,107–109,113 In recent years there has been increasing interest in directly verifying the SER by measuring the diffusion and viscosity of water over a wide temperature range, including supercooled regimes.…”
Section: Introductionmentioning
confidence: 99%
“…Breakdown of the SER was extensively studied in supercooled water. 92–112 Many of the studies indirectly verified the SER by examining the coupling between the diffusion coefficient D and the α -relaxation time τ α . 93,94,105,107–109,113 In recent years there has been increasing interest in directly verifying the SER by measuring the diffusion and viscosity of water over a wide temperature range, including supercooled regimes.…”
Section: Introductionmentioning
confidence: 99%
“…The rate Γ fd of the free diffusion process is given in Equation (). This rate can also be calculated from the energy barrier that a particle is expected to overcome when displaced from one grid cell to the neighboring one and can be factorized as: 50,58,92,93 normalΓitalicfd=νexpEakBT. Here E a is the activation energy (energy barrier) associated with the particle‐surface interaction, ν is the attempt escape rate of a particle from its equilibrium position, T is the temperature of the system, and k B is the Boltzmann constant.…”
Section: Resultsmentioning
confidence: 99%
“…The rate Γ fd of the free diffusion process is given in Equation (3). This rate can also be calculated from the energy barrier that a particle is expected to overcome when displaced from one grid cell to the neighboring one and can be factorized as: 50,58,92,93…”
Section: Fractal Self-assembly On a Surfacementioning
confidence: 99%
“…The DLS analysis is based on the Brownian motion of particles. The Stokes-Einstein equation was used to calculate the particle size (D = kT/6rhR) [62]. Scanning electron microscopy (SEM) was used to investigate the size, shape, texture, and morphology of nanoparticles.…”
Section: Characterizationmentioning
confidence: 99%