Magnetically controlled ballistic deposition. A model of polydisperse granular packing
arXiv:cond-mat/0303527 · doi:10.1016/S0378-4371(03)00276-0
Abstract
The flow and deposition of polydisperse granular materials is simulated through the Magnetic Diffusion Limited Aggregation (MDLA) model. The random walk undergone by an entity in the MDLA model is modified such that the trajectories are ballistic in nature, leading to a magnetically controlled ballistic deposition (MBD) model. This allows to obtain important ingredients about a difficult problem that of the nonequilibrium segregation of polydisperse sandpiles and heterogeneous adsorption of a binary distribution of particles which can interact with each other and with an external field. Our detailed results from many simulations of MBD clusters on a two dimensional triangular lattice above a flat surface in a vertical finite size box for binary systems indicates intriguing variations of the density, ''magnetization'', types of clusters, and fractal dimensions. We derive the field and grain interaction dependent susceptibility and compressibility. We deduce a completely new phase diagram for binary granular piles and discuss its complexity inherent to different grain competition and cluster growth probabilities.
arXiv comment11 pages, 18 figures, submitted to Physica A
References in corpus (8)
- Sandpiles with height restrictions
- Equilibrium properties of the Ising frustrated lattice gas
- Finite size effects on the phase diagram of a binary mixture confined between competing walls
- Comparative study of an Eden model for the irreversible growth of spins and the equilibrium Ising model
- Non-equilibrium wetting transition in a magnetic Eden model
- Slow Relaxation in a Constrained Ising Spin Chain: a Toy Model for Granular Compaction
- Density Profile and Flow of Miscible Fluid with Dissimilar Constituent Masses
- Deposition of magnetic particles: A computer simulation study
Cited by in corpus (10)
- Random deposition of particles of different sizes
- Surface and Bulk Properties of Deposits Grown with a Bidisperse Ballistic Deposition Model
- Roughness fluctuations, roughness exponents and the universality class of ballistic deposition
- Granular Matter: a wonderful world of clusters in far-from-equilibrium systems
- Thin film growth by using random shape cluster deposition
- Thin film growth by random deposition of linear polymers on a square lattice
- The Magnetic Eden Model
- Magnetic hierarchical deposition
- Effects of relaxation processes during deposition of anisotropic grains on a flat substrate
- Clusters in a magnetic toy model for binary granular piles