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EnglishWe analyze a recent experiment of Sharon et al. (2003) on the coarsening, due to surface tension, of fractal viscous fingering patterns (FVFPs) grown in a radial Hele-Shaw cell. We argue that an unforced Hele-Shaw model, a natural model for that experiment, belongs to the same universality class as model B of phase ordering. Two series of numerical simulations with model B are performed, with the FVFPs grown in the experiment and with diffusion limited aggregates as the initial conditions. We observed Lifshitz-Slyozov scaling t1/3 at intermediate distances and slow convergence to this scaling at small distances. Dynamic scale invariance breaks down at large distances.
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| Titolo: | Scaling anomalies in the coarsening dynamics of fractal viscous fingering patterns |
| Autori: | |
| Data di pubblicazione: | 2004 |
| Rivista: | |
| Abstract: | We analyze a recent experiment of Sharon et al. (2003) on the coarsening, due to surface tension, of fractal viscous fingering patterns (FVFPs) grown in a radial Hele-Shaw cell. We argue that an unforced Hele-Shaw model, a natural model for that experiment, belongs to the same universality class as model B of phase ordering. Two series of numerical simulations with model B are performed, with the FVFPs grown in the experiment and with diffusion limited aggregates as the initial conditions. We observed Lifshitz-Slyozov scaling t1/3 at intermediate distances and slow convergence to this scaling at small distances. Dynamic scale invariance breaks down at large distances. |
| Handle: | http://hdl.handle.net/11581/115302 |
| Appare nelle tipologie: | Articolo |
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