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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 achieved. A theory is presented for the crossover from BNP to the reverse Brazil nut problem based on a competition between the… (More)

- Armin Bundet, Antonio Coniglio, Daniel C Hong, Eugene Stanley
- 1984

The question of transport in a random two-component mixture is addressed. To this end, two models are precisely formulated that effectively extend to two-component mixtures the de Gennes ant model of one-component systems. We develop and test a scaling theory, and we solve some of the problems associated with the limit where one of the components is… (More)

- Daniel C. Hong
- 1995

We present a noise free and deterministic dynamic model to study the dynamics of the contact line of an adhesive tape during peeling process. The adhesive tape is wrapped around a disk and is pulled with a constant speed at a xed distance. In a narrow range of the pull speed, the angular speed of the contact line exhibits stick-slip behaviors with irregular… (More)

We present a hydrodynamic model that captures the essence of granular dynamics in a vibrating bed. We carry out the linear stability analysis and uncover the instability mechanism that leads to the appearance of the con-vective rolls via a supercritical bifurcation of a bouncing solution. We also explicitly determine the onset of convection as a function of… (More)

We present two continuum models A and B to study the con-vective instability of granular materials subjected to vibrations. We carry out the linear stability analysis for model A and uncover the instability mechanism as a supercritical bifurcation of a bouncing solution. We also explicitly determine the onset of convection as a function of control… (More)

- Daniel C. Hong
- 2008

Starting from Enskog equation of hard spheres of mass m and diameter D under the gravity g, we first derive the exact equation of motion for the equilibrium density profile at a temperature T and examine its solutions via the gradient expansion. The solutions exist only when βµ ≤ µ o ≈ 21.756 in 2 dimensions and µ o ≈ 15.299 in 3 dimensions, where µ is the… (More)

We present a model for a Saaman-Taylor nger advancing into a vis-coelastic medium, along with solutions for the dynamics of the tip of the nger coupled to a \fractured zone". The fractured zone is deened as a region of the medium which the nger can penetrate, and ahead of which stress builds up, eventually leading to fracture of the medium. The model… (More)

- D C Hong
- Physical review. E, Statistical, nonlinear, and…
- 2001

We present exact results for the density profile of a one dimensional array of N hard rods of diameter D and mass m under gravity g. For a strictly one dimensional system, the liquid-solid transition occurs at zero temperature, because the close-packed density straight phi(c) is 1. However, if we relax this condition slightly such that straight… (More)

We present a detailed weakly nonlinear analysis, along with a solvability analysis, of a new instability in viscous ngering which we term the Surface-Tension-Driven instability. This instability occurs when the surface tension is modiied in proportion to the local curvature. It is an intrinsically nonlinear instability which always requires a nite-amplitude… (More)

Molecular Dynamics simulations were carried out to test the thermodynamic theory of weakly excited, two-dimensional, granular systems [Hayakawa and Hong, Phys. Rev. Lett. 78, 2764(1997)], where granular materials are viewed as a collection of spinless Fermions. We first determine the global temperature T by fitting the steady state density profile to the… (More)