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Turbulence acting on mixes of gas and particles generally evenly diffuses the latter through the former. However, in the presence of background gas temperature gradients a phenomenon known as turbulent thermal diffusion appears as a…

Earth and Planetary Astrophysics · Physics 2016-01-27 Alexander Hubbard

We consider a deformable body immersed in an incompressible liquid that is randomly stirred. Sticking to physical situations in which the body departs only slightly from its spherical shape, we calculate the diffusion constant of the body.…

Statistical Mechanics · Physics 2009-11-07 Gady Frenkel , Moshe Schwartz

We consider the motion of a matter-wave bright soliton under the influence of a cloud of thermal particles. In the ideal one-dimensional system, the scattering process of the quasiparticles with the soliton is reflectionless, however, the…

Other Condensed Matter · Physics 2007-05-23 Subhasis Sinha , Alexander Yu. Cherny , Dmitry Kovrizhin , Joachim Brand

In the recent progress in nonequilibrium thermodynamics, information has been recognized as a kind of thermodynamic resource that can drive thermodynamic current without any direct energy injection. In this paper, we establish the framework…

Statistical Mechanics · Physics 2016-11-22 Shumpei Yamamoto , Sosuke Ito , Naoto Shiraishi , Takahiro Sagawa

We study the motion of a Brownian particle in a medium with inhomogeneous temperature. In the overdamped regime of low Reynolds numbers, the probability distribution function (PDF) of the particle is obtained from the van Kampen diffusion…

Statistical Mechanics · Physics 2019-06-06 Oded Farago

We study nonequilibrium steady states of a one-dimensional stochastic model, originally introduced as an approximation of the Discrete Nonlinear Schr\"odinger equation. This model is characterized by two conserved quantities, namely mass…

Statistical Mechanics · Physics 2023-06-29 Stefano Iubini , Antonio Politi , Paolo Politi

The transverse velocity time correlation function ${\tilde C}_{\rm T}(k,\omega)$ with $k$ and $\omega$ being the wavenumber and the frequency, respectively, is a fundamental quantity in determining the transverse mechanical and transport…

Soft Condensed Matter · Physics 2021-06-23 Akira Furukawa

We study turbulent diffusion of chemically reacting gaseous admixtures in a developed turbulence. In our previous study [Phys. Rev. Lett. {\bf 80}, 69 (1998)] using a path-integral approach for a delta-correlated in time random velocity…

Fluid Dynamics · Physics 2014-11-19 Tov Elperin , Nathan Kleeorin , Michael Liberman , Igor Rogachevskii

The Josephson-Anderson relation, valid for the incompressible Navier-Stokes solutions which describe flow around a solid body, instantaneously equates the power dissipated by drag to the flux of vorticity across the flow lines of the…

Mathematical Physics · Physics 2022-07-05 Hao Quan , Gregory L. Eyink

In the presence of a chemically active particle, a nearby chemically inert particle can respond to a concentration gradient and move by diffusiophoresis. The nature of the motion is studied for two cases: first, a fixed reactive sphere and…

Soft Condensed Matter · Physics 2018-06-25 Shang Yik Reigh , Prabha Chuphal , Snigdha Thakur , Raymond Kapral

We investigate diffusion in a polydisperse granular media. We derive mean-squared displacement of granular particles in a polydisperse granular gas in a homogeneous cooling state, containing arbitrary amount of species of different sizes…

Soft Condensed Matter · Physics 2024-03-21 Anna S. Bodrova

We show that two basic mechanical processes, the collision of particles and rolling motion of a sphere on a plane, are intimately related. According to our recent findings, the restitution coefficient for colliding spherical particles…

Materials Science · Physics 2009-11-07 Nikolai V. Brilliantov , Thorsten Poeschel

Under a thermodynamic gradient, for example, the concentration or temperature gradients, the colloidal particles immersed in the solvent can exhibit a directional migration along or against the gradient -- phoresis, a cross transport…

Soft Condensed Matter · Physics 2026-03-31 Yuxing Jiao , Qing Yang , Mingcheng Yang

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

Disordered Systems and Neural Networks · Physics 2018-02-14 S. V. Novikov

We consider the inverse problem of determining different type of information about a diffusion process, described by ordinary or fractional diffusion equations stated on a bounded domain, like the density of the medium or the velocity field…

Analysis of PDEs · Mathematics 2019-07-05 Yavar Kian , Zhiyuan Li , Yikan Liu , Masahiro Yamamoto

The properties of ultracold quantum gases of bosons with dipole-dipole interaction is investigated at finite temperature in the frame of the representative ensembles theory. Self-consistent coupled equations of motion are derived for the…

Quantum Gases · Physics 2016-06-22 Abdelaali Boudjemaa

A heuristic approach for collisionless perpendicular diffusion of energetic particles is presented. Analytic forms for the corresponding diffusion coefficient are derived. The heuristic approach presented here explains the parameter $a^2$…

Solar and Stellar Astrophysics · Physics 2019-09-04 A. Shalchi

Thermal convection in nanofluids is investigated by means of a continuum model for binary-fluid mixtures, with a thermal conductivity depending on the local concentration of colloidal particles. The applied temperature difference between…

Soft Condensed Matter · Physics 2015-05-20 Martin Glässl , Markus Hilt , Walter Zimmermann

In this paper we present a mathematical model for the electrochemical deposition aimed at the production of inverse opals. The real system consists of an arrangement of sub micrometer spheres, through which the species in an electrolytic…

Chemical Physics · Physics 2013-06-25 P. C. T. D'Ajello , L. Lauck , G. L. Nunes

Within the context of a linear theory of heat-flux dependent thermoelasticity for micropolar porous media some variational principles and a reciprocal relation are derived.

Mathematical Physics · Physics 2007-05-23 G. Iovane , F. Passarella
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