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Related papers: Heterogeneous diffusion, viscosity and the Stokes …

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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

We analyze one thousand independent equilibrium trajectories of a system of 155 Lennard Jones particles to separate in a model-free approach the role of temperature and the role of the explored potential energy landscape basin depth in the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Emilia La Nave , Srikanth Sastry , Francesco Sciortino

This review is devoted to the large-scale rheology of suspensions of rigid particles in Stokes fluid. After describing recent results on the definition of the effective viscosity of such systems in the framework of homogenization theory, we…

Analysis of PDEs · Mathematics 2023-01-03 Mitia Duerinckx , Antoine Gloria

We study self-diffusion within a simple hopping model for glassy materials. (The model is Bouchaud's model of glasses [J.-P. Bouchaud, J. Physique I 2, 1705 (1992)], as extended to describe rheological properties [P. Sollich, F. Lequeux, P.…

Statistical Mechanics · Physics 2009-10-31 R. M. L. Evans , M. E. Cates , P. Sollich

The self-diffusion constant D is expressed in terms of transitions among the local minima of the potential (inherent structure, IS) and their correlations. The formulae are evaluated and tested against simulation in the supercooled,…

Statistical Mechanics · Physics 2009-10-31 T. Keyes , J. Chowdhary

Hydrodynamic interactions are important for diverse fluids especially those with low Reynold's number such as microbial and particle-laden suspensions, and proteins diffusing in membranes. Unfortunately, while far-field (asymptotic)…

Soft Condensed Matter · Physics 2023-02-10 Noman Hanif Barbhuiya , A. G. Yodh , Chandan K. Mishra

We investigate a binary Lennard-Jones mixture with molecular dynamics simulations. We consider first a system cooled linearly in time with the cooling rate gamma. By varying gamma over almost four decades we study the influence of the…

Statistical Mechanics · Physics 2015-06-25 K. Vollmayr-Lee , W. Kob , K. Binder , A. Zippelius

The paper is devoted to a detailed analysis of the two important transport processes - the kinematic shear viscosity and the self-diffusion - for all states of liquid water from the triple point to the critical point. Our approach to the…

Soft Condensed Matter · Physics 2022-03-10 Viktor N. Makhlaichuk , Nikolay P. Malomuzh

Dynamical properties of a Lennard-Jones binary mixture embedded in an off lattice matrix of soft spheres are studied in the direct space upon supercooling by molecular dynamics simulations. On lowering temperature the smaller particles tend…

Soft Condensed Matter · Physics 2009-11-10 P. Gallo , R. Pellarin , M. Rovere

Recent experiments and computer simulations show that supercooled liquids around the glass transition temperature are "dynamically heterogeneous" [1]. Such heterogeneity is expected from the random first order transition theory of the glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 Xiaoyu Xia , Peter G. Wolynes

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

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

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

Static and dynamic structure factors and various transport coefficients are computed for a Lennard-Jones model of a binary fluid (A,B) with a symmetrical miscibility gap, varying both temperature and relative concentration of the mixture.…

Statistical Mechanics · Physics 2009-11-10 Subir K. Das , Jürgen Horbach , Kurt Binder

One of the most controversial hypotheses for explaining the heterogeneous dynamics of glasses postulates the temporary coexistence of two phases characterized by a high and by a low diffusivity. In this scenario, two phases with different…

Soft Condensed Matter · Physics 2015-07-16 R. Pastore , A. Coniglio , M. Pica Ciamarra

The shear viscosity in the dilute regime of a model for confined granular matter is studied by simulations and kinetic theory. The model consists on projecting into two dimensions the motion of vibrofluidized granular matter in shallow…

Statistical Mechanics · Physics 2015-06-22 Rodrigo Soto , Dino Risso , Ricardo Brito

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

The Adam-Gibbs (AG) relation connects the dynamics of a glass-forming liquid to its the thermodynamics via. the configurational entropy, and is of fundamental importance in descriptions of glassy behaviour. The breakdown of the…

Statistical Mechanics · Physics 2017-08-09 Anshul D. S. Parmar , Shiladitya Sengupta , Srikanth Sastry

We study the relaxation process of two driven colloidal suspensions in diffusive contact to a steady state, similar to thermalization. We start by studying a single suspension, subjecting it to random driving forces via holographic optical…

Soft Condensed Matter · Physics 2025-05-01 Galor Geva , Tamir Admon , Maayan Levin , Yael Roichman

We present the results of a large scale molecular dynamics computer simulation study in which we investigate whether a supercooled Lennard-Jones liquid exhibits dynamical heterogeneities. We evaluate the non-Gaussian parameter for the self…

Disordered Systems and Neural Networks · Physics 2009-10-30 Walter Kob , Claudio Donati , Steven J. Plimpton , Peter H. Poole , Sharon C. Glotzer