Breakdown of Dynamical Scale Invariance in the Coarsening of Fractal Clusters
| dc.creator | Conti, Massimo | |
| dc.creator | Meerson, Baruch | |
| dc.creator | Sasorov, Pavel V. | |
| dc.date | 1999-12-23 | |
| dc.date | 2000-05-19 | |
| dc.date.accessioned | 2026-07-07T03:15:47Z | |
| dc.date.available | 2026-07-07T03:15:47Z | |
| dc.description | We extend a previous analysis [PRL {\bf 80}, 4693 (1998)] of breakdown of dynamical scale invariance in the coarsening of two-dimensional DLAs (diffusion-limited aggregates) as described by the Cahn-Hilliard equation. Existence of a second dynamical length scale, predicted earlier, is established. Having measured the "solute mass" outside the cluster versus time, we obtain a third dynamical exponent. An auxiliary problem of the dynamics of a slender bar (that acquires a dumbbell shape) is considered. A simple scenario of coarsening of fractal clusters with branching structure is suggested that employs the dumbbell dynamics results. This scenario involves two dynamical length scales: the characteristic width and length of the cluster branches. The predicted dynamical exponents depend on the (presumably invariant) fractal dimension of the cluster skeleton. In addition, a robust theoretical estimate for the third dynamical exponent is obtained. Exponents found numerically are in reasonable agreement with these predictions. | |
| dc.description | 11 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9912426 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9912426 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/30109 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Breakdown of Dynamical Scale Invariance in the Coarsening of Fractal Clusters | |
| dc.type | text |