Lattice Model for Approximate Self-Affine Soil Profiles
| dc.creator | Atman, A. P. F. | |
| dc.creator | Miranda, J. G. Vivas | |
| dc.creator | Gonzalez, A. Paz | |
| dc.creator | Moreira, J. G. | |
| dc.date | 2001-10-22 | |
| dc.date.accessioned | 2026-07-07T02:43:15Z | |
| dc.date.available | 2026-07-07T02:43:15Z | |
| dc.description | A modeling of the soil structure and surface roughness by means of the concepts of the fractal growth is presented. Two parameters are used to control the model: the fragmentation dimension, $D_f$, and the maximum mass of the deposited aggregates, $M_{max}$. The fragmentation dimension is related to the particle size distribution through the relation $N(r \ge R) \sim R^{D_f}$, where $N(r \ge R)$ is the accumulative number of particles with radius greater than $R$. The size of the deposited aggregates are chose following the power law above, and the morphology of the aggregate is random selected using a bond percolation algorithm. The deposition rules are the same used in the model of solid-on-solid deposition with surface relaxation. A comparison of the model with real data shows that the Hurst exponent, $H$, measured {\it via} semivariogram method and detrended fluctuation analysis, agrees in statistical sense with the simulated profiles. | |
| dc.description | 10 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0110476 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0110476 | |
| dc.identifier | PHYSICA A 295: (1-2) 64-70 JUN 1 2001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/18423 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Materials Science | |
| dc.title | Lattice Model for Approximate Self-Affine Soil Profiles | |
| dc.type | text |