We investigate a model of interacting clusters which compete for growth. For a finite assembly of coupled clusters, the largest one always wins, so that all but this one die out in a finite time. This scenario of ‘survival of the biggest’ still holds in the mean-field limit, where the model...

We investigate the full phase diagram of a column of grains near jamming, as a function of varying levels of frustration. Frustration is modelled by the effect of two opposing fields on a grain, due respectively to grains above and below it. The resulting four dynamical regimes (ballistic,...

We investigate a stochastic model describing a column of grains in the jamming limit, in the presence of a low vibrational intensity. The key control parameter of the model, <InlineEquation ID="Equ1"> <EquationSource Format="TEX">$\epsilon$</EquationSource> </InlineEquation>, is a representation of granular shape, related to the reduced void space. Regularity and irregularity in...</equationsource></inlineequation>

We propose a set of coupled stochastic equations to model atomistic growth on surfaces. We carry out electronic structure calculations on a specific example to justify some of underlying assumptions of the model.