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We examine the role of shape of dynamical heterogeneities on the validity of the Stokes-Einstein (SE) and Stokes-Einstein-Debye (SED) relations in quasi-two-dimensional suspensions of colloidal ellipsoids. For ellipsoids with repulsive…

Soft Condensed Matter · Physics 2024-08-13 Chandan K Mishra , Rajesh Ganapathy

We present Monte Carlo simulation results on the equilibrium relaxation of the two dimensional lattice Coulomb gas with fractional charges, which exhibits a close analogy to the primary relaxation of fragile supercooled liquids. Single…

Statistical Mechanics · Physics 2007-05-23 S. J. Lee , B. Kim , J. -R. Lee

The homogeneous steady state of a fluid of inelastic hard spheres immersed in a bath of elastic hard spheres kept at equilibrium is analyzed by means of the first Sonine approximation to the (spatially homogeneous) Enskog--Boltzmann…

Statistical Mechanics · Physics 2007-05-23 Andres Santos

A new analysis of elastic properties of dense hard sphere (HS) fluids is presented, based on the expressions derived by Miller [J. Chem. Phys. {\bf 50}, 2733 (1969)]. Important consequences for HS fluids in terms of sound waves propagation,…

Materials Science · Physics 2019-10-02 Sergey Khrapak

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

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

A new approach to modelling the behaviour of simple fluids is presented. Starting from the usual expression of the partition function of N molecules, a Fourier transformation is performed. It is argued that the N(N-1)/2 dynamical variables…

Fluid Dynamics · Physics 2020-03-03 Richard Bonneville

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 bosonic Boltzmann-Nordheim kinetic equation, which describes the kinetic regime of weakly interacting bosons with s-wave scattering only. We consider a spatially homogeneous fluid with an isotropic momentum distribution. The…

Mesoscale and Nanoscale Physics · Physics 2008-09-29 Herbert Spohn

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

We calculate certain features of Bose-Einstein condensation in the ideal gas by using recurrence relations for the partition function. The grand canonical ensemble gives inaccurate results for certain properties of the condensate that are…

Statistical Mechanics · Physics 2016-08-16 W. J. Mullin , J. P. Fernández

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

The linearization around one of its equilibrium of a system that describes the correlations between the superfluid component and the normal fluid part of a condensed Bose gas in the approximation of very low temperature and small condensate…

Analysis of PDEs · Mathematics 2021-12-28 Miguel Escobedo

The effective hydrodynamic radius is usually assumed to be a constant in testing the Stokes-Einstein relation by its variants. We have performed molecular dynamics simulations with ortho-terphenyl and Kob-Andersen model to examine the…

Soft Condensed Matter · Physics 2022-01-19 Gan Ren

We study, in the framework of the Boltzmann-Nordheim equation (BNE), the kinetic properties of a boson gas above the Bose-Einstein transition temperature $T_c$. The BNE is solved numerically within a new algorithm, that has been tested with…

Soft Condensed Matter · Physics 2009-10-30 T. Lopez-Arias , A. Smerzi

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

We consider resurgence for the nonconformal Bjorken flow with Fermi-Dirac and Bose-Einstein statistics on the extended relaxation-time approximation. We firstly consider full formal transseries expanded around the equilibrium and then…

High Energy Physics - Theory · Physics 2024-12-30 Syo Kamata

Turbulent suspensions of heavy particles in incompressible flows have gained much attention in recent years. A large amount of work focused on the impact that the inertia and the dissipative dynamics of the particles have on their dynamical…

Chaotic Dynamics · Physics 2009-11-13 Jeremie Bec , Massimo Cencini , Rafaela Hillerbrand , Konstantin Turitsyn

We investigate the origin of the Stokes-Einstein relation in liquids. The hard-sphere dynamics is analyzed using a new measure of structural relaxation - the minimum Euclidean distance between configurations of particles. It is shown that…

Soft Condensed Matter · Physics 2007-05-23 Tomas Oppelstrup , Babak Sadigh , Srikanth Sastry , Mikhail Dzugutov

Bose atoms in optical lattices are considered at low temperatures and weak interactions, when Bose-Einstein condensate is formed. A self-consistent approach, based on the use of a representative statistical ensemble, is employed, ensuring a…

Quantum Gases · Physics 2013-07-09 V. I. Yukalov