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We study self-diffusion and sedimentation in colloidal suspensions of nearly-hard spheres using the multiparticle collision dynamics simulation method for the solvent with a discrete mesh model for the colloidal particles (MD+MPCD). We…

Soft Condensed Matter · Physics 2022-01-26 Yashraj M. Wani , Penelope Grace Kovakas , Arash Nikoubashman , Michael P. Howard

Diffusion coefficients are essential microphysics input for modeling white dwarf evolution, as they impact phase separation at crystallization and sedimentary heat sources. Present schemes for computing diffusion coefficients are accurate…

Solar and Stellar Astrophysics · Physics 2022-04-06 M. E. Caplan , E. B. Bauer , I. F. Freeman

Transport coefficients associated with the mass flux of a binary mixture of Maxwell molecules under uniform shear flow are exactly determined from the Boltzmann kinetic equation. A normal solution is obtained via a Chapman--Enskog-like…

Statistical Mechanics · Physics 2009-11-13 Vicente Garzo

Diffusion couple technique is an efficient tool for the estimating the chemical diffusion coefficients. Typical experimental uncertainties of the composition profile measurements complicate a correct determination of the interdiffusion…

Materials Science · Physics 2017-07-25 Bengü Tas Kavakbasi , Igor S. Golovin , Aloke Paul , Sergiy V. Divinski

In our recent work on concentrated suspensions of uniformly porous colloidal spheres with excluded volume interactions, a variety of short-time dynamic properties were calculated, except for the rotational self-diffusion coefficient. This…

Soft Condensed Matter · Physics 2015-05-27 Gustavo C. Abade , Bogdan Cichocki , Maria L. Ekiel-Jezewska , Gerhard Naegele , Eligiusz Wajnryb

In this work, we have calculated self-diffusion and shear viscosity, two of the most important transport properties, of the spherical square-well (SW) fluid interacting with potential range $\lambda = 1.5 \, \sigma$. To this end, we have…

Soft Condensed Matter · Physics 2024-08-27 Iván M. Zerón , Marina Cueto-Mora , Felipe J. Blas

This paper provides an introduction to the Stein method framework in the context of steady-state diffusion approximations. The framework consists of three components: the Poisson equation and gradient bounds, generator coupling, and moment…

Probability · Mathematics 2017-02-21 Anton Braverman , J. G. Dai , Jiekun Feng

Green-Kubo and Einstein expressions for the transport coefficients of a fluid in a nonequilibrium steady state can be derived using the Fluctuation Theorem and by assuming the probability distribution of the time-averaged dissipative flux…

Statistical Mechanics · Physics 2009-10-31 Debra J. Searles , Denis J. Evans

Ab-initio electron - liquid phase xenon fully differential cross-sections for electrons scattering in liquid xenon are developed from a solution of the Dirac-Fock scattering equations, using a recently developed framework [1] which…

Atomic Physics · Physics 2016-08-24 Greg Boyle , Robert McEachran , Daniel Cocks , Michael Brunger , Steve Buckman , Sasa Dujko , Ron White

A mathematical model is proposed where the classical Maxwell-Stefan diffusion model for gas mixtures is coupled to an advection-type equation for the temperature of the physical system. This coupled system is derived from first principles…

Analysis of PDEs · Mathematics 2017-12-19 Harsha Hutridurga , Francesco Salvarani

We propose a joint experimental and theoretical approach to measure the self-diffusion in a laser-cooled trapped ion cloud where part of the ions are shelved in a long-lived dark state. The role of the self-diffusion coefficient in the…

After the pioneering work by Giovangigli on mathematics of multicomponent flows, several attempts were made to introduce global weak solutions for the PDEs describing the dynamics of fluid mixtures. While the incompressible case with…

Analysis of PDEs · Mathematics 2020-04-22 Pierre-Etienne Druet

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

Major drawback of studying diffusion in multi-component systems is the lack of suitable techniques to estimate the diffusion parameters. In this study, a generalized treatment to determine the intrinsic diffusion coefficients in…

Materials Science · Physics 2022-08-23 Sangeeta Santra , Aloke Paul

We report the temperature, pressure and composition dependence of some basic properties of model liquid water-methanol mixtures. For this purpose the isobaric-isothermal molecular dynamics computer simulations are employed. Our principal…

Soft Condensed Matter · Physics 2025-04-01 M. Cruz Sanchez , V. Trejos Montoya , O. Pizio

We develop a concise self-consistent perturbation expansion for superconductivity where all the pair processes are naturally incorporated without drawing "anomalous" Feynman diagrams. This simplification results from introducing an…

Superconductivity · Physics 2011-11-16 Takafumi Kita

We determine the liquid-solid phase diagram for carbon-oxygen and oxygen-selenium plasma mixtures using two-phase MD simulations. We identified liquid, solid, and interface regions using a bond angle metric. To study finite size effects, we…

Solar and Stellar Astrophysics · Physics 2012-07-05 A. S. Schneider , J. Hughto , C. J. Horowitz , D. K. Berry

We study the Wasserstein gradient flow of semi-discrete energies in the space of probability measures, that is functionals depending on two measures-one being an absolutely continuous density and the other an atomic measure. These energies…

Analysis of PDEs · Mathematics 2026-03-05 Joao Miguel Machado

This work describes three diffuse-interface methods for the simulation of immiscible, compressible multiphase fluid flows and elastic-plastic deformation in solids. The first method is the localized-artificial-diffusivity approach of Cook…

Computational Physics · Physics 2021-09-21 Suhas S. Jain , Michael C. Adler , Jacob R. West , Ali Mani , Parviz Moin , Sanjiva K. Lele

A microscopic model able to describe simultaneously the dynamic viscosity and the self-diffusion coefficient of fluids is presented. This model is shown to emerge from the introduction of fractional calculus in a usual model of condensed…

Statistical Mechanics · Physics 2021-11-24 F. Aitken , F. Volino