1997/02/19 by Raffaele Cafiero, R. Cafiero, A. Gabrielli +5 · 8 citations
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Dielectric #Diffusion #Diffusion-limited aggregation #Field (mathematics) #Fractal #Fractal dimension #Laplace operator #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Optoelectronics #Percolation (cognitive psychology) #Physics #Quantum mechanics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.79.1503
published in Physical Review Letters 79(8), 1503-1506 (American Physical Society) · 11 pages Latex (revtex), 3 postscript figures included. Submitted to PRL
arxiv created 1997/02/19 · openalex publication_date 1997/08/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the combined effect of a Laplacian field and quenched disorder in the generation of fractal structures in the quenched dielectric breakdown model. The growth dynamics is shown to evolve from the avalanches of invasion percolation (IP) to the smooth growth of Laplacian fractals, i.e., diffusion limited aggregation and the dielectric breakdown model (DBM). The fractal dimension is strongly reduced with respect to both the DBM and IP, due to the combined effect of memory and field screening. This implies a specific relation between the fractal dimension of the breakdown structures and the microscopic properties of disordered materials.