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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 present a hydrodynamic theoretical model for "Brazil nut" size segregation in granular materials. We give analytical solutions for the rise velocity of a large intruder particle immersed in a medium of monodisperse fluidized small…

Statistical Mechanics · Physics 2009-11-07 L. Trujillo , H. J. Herrmann

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

The system of driven dense colloid mixtures is studied in one-, two- and three-dimensional geometries. We calculate the diffusion coefficients and mobilities for each particle type, including cross-terms, in a hydrodynamic limit, using a…

Statistical Mechanics · Physics 2025-08-14 Frantisek Slanina , Miroslav Kotrla

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

We numerically and experimentally study the segregation dynamics in a binary mixture of microswimmers which move on a two-dimensional substrate in a static periodic triangular-like light intensity field. The motility of the active particles…

Soft Condensed Matter · Physics 2019-03-27 Soudeh Jahanshahi , Celia Lozano , Borge ten Hagen , Clemens Bechinger , Hartmut Löwen

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

We study bidisperse suspensions -- suspensions where there are two particle species of the same density but different sizes -- of a viscous fluid on an incline. We use a lubrication theory/thin film model to form a hyperbolic system of…

Fluid Dynamics · Physics 2025-06-02 Jack Luong , Sarah Cassie Burnett , Andrea L. Bertozzi

A solution of the inelastic Enskog equation that goes beyond the weak dissipation limit and applies for moderate densities is used to determine the thermal diffusion factor of an intruder immersed in a dense granular gas under gravity. This…

Statistical Mechanics · Physics 2015-05-13 Vicente Garzo

Vertical shaking of a mixture of small and large beads can lead to segregation where the large beads either accumulate at the top of the sample, the so called Brazil Nut effect (BNE), or at the bottom, the Reverse Brazil Nut effect (RBNE).…

Disordered Systems and Neural Networks · Physics 2008-01-13 Stephan Ulrich , Matthias Schröter , Harry L. Swinney

The Brazil-nut effect is the phenomenon in which a large intruder particle immersed in a vertically shaken bed of smaller particles rises to the top, even when it is much denser. The usual practice, while describing these experiments, has…

Soft Condensed Matter · Physics 2012-11-26 Prakhyat Hejmady , Ranjini Bandyopadhyay , Sanjib Sabhapandit , Abhishek Dhar

The intruder segregation dependence on size and density is investigated in the framework of a hydrodynamic theoretical model for vibrated granular media. We propose a segregation mechanism based on the difference of densities between…

Statistical Mechanics · Physics 2007-05-23 L. Trujillo , H. J. Herrmann

A granular mixture of particles of two sizes that is shaken vertically will in most cases segregate. If the larger particles accumulate at the top of the sample, this is called the Brazil-nut effect (BNE); if they accumulate at the bottom,…

Soft Condensed Matter · Physics 2009-11-11 M. Schröter , S. Ulrich , J. Kreft , J. B. Swift , H. L. Swinney

The Boltzmann kinetic theory for a model of a confined quasi-two dimensional granular mixture derived previously [Garz\'o, Brito and Soto, Phys. Fluids \textbf{33}, 023310 (2021)] is considered further to analyze two different problems.…

Soft Condensed Matter · Physics 2024-03-07 Vicente Garzó , Ricardo Brito , Rodrigo Soto

A binary mixture of particles interacting via long-ranged repulsive forces is studied in gravity by computer simulation and theory. The more repulsive A-particles create a depletion zone of less repulsive B-particles around them reminiscent…

Soft Condensed Matter · Physics 2015-06-03 Tobias Kruppa , Tim Neuhaus , René Messina , Hartmut Löwen

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

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

In the Brazil nut problem (BNP), hard spheres with larger diameters rise to the top. There are various explanations (percolation, reorganization, convection), but a broad understanding or control of this effect is by no means acheived. A…

Materials Science · Physics 2009-10-31 Daniel C. Hong , Paul V. Quinn , Stefan Luding

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

The size-segregation of granular materials, a process colloquially known as the Brazil Nut Effect, has generally been thought to proceed faster the greater the size difference of the particles. We experimentally investigate sheared…

Soft Condensed Matter · Physics 2015-05-13 Laura A. Golick , Karen E. Daniels
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