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Diffusion induced by a thermal gradient in a granular binary mixture is analyzed in the context of the (inelastic) Enskog equation. Although the Enskog equation neglects velocity correlations among particles which are about to collide, it…

Statistical Mechanics · Physics 2015-03-17 Vicente Garzó

A recent segregation criterion [V. Garz\'o, Phys. Rev. E \textbf{78}, 020301(R) (2008)] based on the thermal diffusion factor $\Lambda$ of an intruder in a heated granular gas described by the inelastic Enskog equation is revisited. The…

Statistical Mechanics · Physics 2012-03-02 Vicente Garzó , Fran Vega Reyes

A new segregation criterion based on the inelastic Enskog kinetic equation is derived to show the transition between the Brazil-nut effect (BNE) and the reverse Brazil-nut effect (RBNE) by varying the different parameters of the system. In…

Statistical Mechanics · Physics 2008-09-03 Vicente Garzo

Segregation by thermal diffusion of an intruder immersed in a sheared granular gas is analyzed from the (inelastic) Boltzmann equation. Segregation is induced by the presence of a temperature gradient orthogonal to the shear flow plane and…

Statistical Mechanics · Physics 2015-05-18 Vicente Garzó , Francisco Vega Reyes

A recent solution of the inelastic Boltzmann equation that applies for strong dissipation and takes into account non-equipartition of energy is used to derive an explicit expression for the thermal diffusion factor. This parameter provides…

Statistical Mechanics · Physics 2009-11-11 Vicente Garzo

Based on the Boltzmann-Enskog kinetic theory, we develop a hydrodynamic theory for the well known (reverse) Brazil nut segregation in a vibro-fluidized granular mixture. Using an analogy with standard fluid mechanics, we have recently…

Soft Condensed Matter · Physics 2008-02-04 Meheboob Alam , Leonardo Trujillo , Hans J. Herrmann

We study segregation patterns in a hard sphere binary model under gravity subject to sequences of taps. We discuss the appearance of the ``Brazil nut'' effect (where large particles move up) and the ``reverse Brazil nut'' effects in the…

Statistical Mechanics · Physics 2009-11-07 Mario Nicodemi , Annalisa Fierro , Antonio Coniglio

The Enskog kinetic equation is considered to determine the mobility $\lambda$ and diffusion $D$ transport coefficients of intruders immersed in a granular gas of inelastic hard spheres (grains). Intruders and grains are in contact with a…

Soft Condensed Matter · Physics 2024-02-27 Rubén Gómez González , Vicente Garzó

The Boltzmann kinetic equation is considered to compute the transport coefficients associated with the mass flux of intruders in a granular gas. Intruders and granular gas are immersed in a gas of elastic hard spheres (molecular gas). We…

Soft Condensed Matter · Physics 2025-11-07 Rubén Gómez González , Vicente Garzó

The Enskog kinetic theory is applied to compute the mean square displacement of intruders immersed in a granular gas of smooth inelastic hard spheres (grains). Both species (intruders and grains) are surrounded by an interstitial molecular…

Soft Condensed Matter · Physics 2023-08-30 Rubén Gómez González , Enrique Abad , Santos Bravo Yuste , Vicente Garzó

It is demonstrated that the minimization of the free energy functional for hard spheres and hard disks yields the result that excited granular materials under gravity segregate not only in the widely known "Brazil nut" fashion, i.e. with…

Statistical Mechanics · Physics 2009-11-07 Joseph A. Both , Daniel C. Hong

It has been recently reported that a granular mixture in which grains differ in their restitution coefficients presents segregation: the more inelastic particles sink to the bottom. When other segregation mechanisms as buoyancy and the…

Soft Condensed Matter · Physics 2010-12-23 Ricardo Brito , Rodrigo Soto

A collisional model of a confined quasi-two-dimensional granular mixture is considered to analyze homogeneous steady states. The model includes an effective mechanism to transfer the kinetic energy injected by vibration in the vertical…

Statistical Mechanics · Physics 2020-12-30 Ricardo Brito , Rodrigo Soto , Vicente Garzó

Starting from the hydrodynamic equations of binary granular mixtures, we derive an evolution equation for the relative velocity of the intruders, which is shown to be coupled to the inertia of the smaller particles. The onset of Brazil-nut…

Soft Condensed Matter · Physics 2009-11-10 L. Trujillo , M. Alam , H. J. Herrmann

We investigate the diffusion of an intruder in a granular gas, with both components modeled as smooth hard spheres, both immersed in a low viscosity carrier fluid to form a particle-laden suspension. In this system, dissipative particle…

Soft Condensed Matter · Physics 2026-03-27 Antonio M. Puertas , Rubén Gómez González

A low density binary mixture of granular gases is considered within the Boltzmann kinetic theory. One component, the intruders, is taken to be dilute with respect to the other, and thermal segregation of the two species is described for a…

Statistical Mechanics · Physics 2013-05-06 J. Javier Brey , Nagi Khalil , James W. Dufty

This paper presents the experiments and simulations on the resonance-induced acceleration of the reverse Brazil nut effect (RBNE)-Brazil nut effect (BNE) segregation inversion of binary mixtures in flat-bottom and circular-bottom…

Soft Condensed Matter · Physics 2022-09-19 Yufei Shao , Anghao Li , Zaizheng Wang , Min Sun , Decai Huang

We study segregation of an impurity in a driven granular fluid under two types of \emph{steady} states. In the first state, the granular gas is driven by a stochastic volume force field with a Fourier-type profile while in the second state,…

Soft Condensed Matter · Physics 2015-01-05 Francisco Vega Reyes , Vicente Garzó

We compute the full probability distribution of the moment of inertia $I \propto \sum_{i=1}^N \vec{r}_i^{\,2}$ of a gas of $N$ noninteracting bosons trapped in a harmonic potential $V(r) = (1/2)\, m\, \omega^2 r^2$, in all dimensions and at…

Statistical Mechanics · Physics 2025-11-18 Manas Kulkarni , Satya N. Majumdar , Gregory Schehr

It is well-recognized that granular media under rapid flow conditions can be modeled as a gas of hard spheres with inelastic collisions. At moderate densities, a fundamental basis for the determination of the granular hydrodynamics is…

Soft Condensed Matter · Physics 2022-06-15 Moisés García Chamorro , Rubén Gómez González , Vicente Garzó
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