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Ultrastable glasses have risen to prominence due to their potentially useful material properties and the tantalizing possibility of a general method of preparation via vapor deposition. Despite the importance of this novel class of…

Statistical Mechanics · Physics 2014-12-09 Glen M Hocky , Ludovic Berthier , David R. Reichman

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

Molecular dynamics simulations are performed on a system of model linear polymers to look at the violations of Stokes-Einstein (SE) and Stokes-Einstein-Debye (SED) relations near the mode coupling theory transition temperature $T_c$ at…

Soft Condensed Matter · Physics 2020-11-10 Jalim Singh , Prasanth P. Jose

We review the Random First Order Transition Theory of the glass transition, emphasizing the experimental tests of the theory. Many distinct phenomena are quantitatively predicted or explained by the theory, both above and below the glass…

Disordered Systems and Neural Networks · Physics 2015-06-25 Vassiliy Lubchenko , P. G. Wolynes

One of the most actively debated issues in the study of the glass transition is whether a mean-field description is a reasonable starting point for understanding experimental glass formers. Although the mean-field theory of the glass…

Disordered Systems and Neural Networks · Physics 2014-10-24 Patrick Charbonneau , Yuliang Jin , Giorgio Parisi , Francesco Zamponi

We argue that the critical dynamical fluctuations predicted by the mode-coupling theory (MCT) of glasses provide a natural mechanism to explain the breakdown of the Stokes-Einstein relation. This breakdown, observed numerically and…

Statistical Mechanics · Physics 2015-06-25 Giulio Biroli , Jean-Philippe Bouchaud

We show by inherent structure (IS) analysis that the sharp composition dependent breakdown of the Stokes-Einstein relation correlates surprisingly well with an equally sharp non-monotonic variation in the average inherent structure (IS)…

Soft Condensed Matter · Physics 2020-01-29 Shubham Kumar , Sarmistha Sarkar , Biman Bagchi

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

Consider a colloidal suspension of rigid particles in a steady Stokes flow. In a celebrated work, Einstein argued that in the regime of dilute particles the system behaves at leading order like a Stokes fluid with some explicit effective…

Analysis of PDEs · Mathematics 2020-12-30 Mitia Duerinckx , Antoine Gloria

We report an ab initio study of structural and dynamic properties of liquid copper as a function of temperature. In particular, we have evaluated the temperature dependence of the self-diffusion coefficient from the velocity autocorrelation…

Soft Condensed Matter · Physics 2015-12-25 N. Jakse , A. Pasturel

The dramatic slowing down associated with the glass transition cannot be fully understood without an associated static length that is expected to increase rapidly as the temperature is reduced. The search for such a length was long and…

Statistical Mechanics · Physics 2011-05-23 Smarajit Karmakar , Itamar Procaccia

A key resource for distributed quantum-enhanced protocols is entanglement between spatially separated modes. Yet, the robust generation and detection of nonlocal entanglement between spatially separated regions of an ultracold atomic system…

The determination of particle size by dynamic light scattering uses the Stokes-Einstein relation, which can break down for nanoscale objects. Here we employ a molecular dynamics simulation of fully solvated 1-5 nm carbon nanoparticles for…

We use large scale computer simulations of a glass-forming liquid in which a fraction c of the particles has been permanently pinned. We find that the relaxation dynamics shows an exponential dependence on c. This result can be rationalized…

Disordered Systems and Neural Networks · Physics 2014-12-17 Walter Kob , Daniele Coslovich

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

Bose-Einstein-condensed gases in external spatially random potentials are considered in the frame of a stochastic self-consistent mean-field approach. This method permits the treatment of the system properties for the whole range of the…

Disordered Systems and Neural Networks · Physics 2007-12-04 V. I. Yukalov , E. P. Yukalova , K. V. Krutitsky , R. Graham

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 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 investigate the heterogeneity of dynamics, the breakdown of the Stokes-Einstein relation and fragility in a model glass forming liquid, a binary mixture of soft spheres with a harmonic interaction potential, for spatial dimensions from 3…

Soft Condensed Matter · Physics 2021-08-20 Monoj Adhikari , Smarajit Karmakar , Srikanth Sastry

Spin-orbit-coupled Bose-Einstein condensates are a flexible experimental platform to engineer synthetic quantum many-body systems. In particular, they host the so-called stripe phase, an instance of a supersolid state of matter. The…

Quantum Gases · Physics 2026-03-24 C. S. Chisholm , S. Hirthe , V. B. Makhalov , R. Ramos , R. Vatré , J. Cabedo , A. Celi , L. Tarruell