Dimensions, maximal growth sites, and optimization in the dielectric breakdown model
نویسندگان
چکیده
منابع مشابه
Dielectric breakdown in a simplified parallel model
The growth of streamer trees in insulating fluids ~a submicrosecond process that triggers high-voltage breakdown! has been simulated with a combination of parallel-coding tools. Large grids and arrays display well the multifractal, self-avoiding character of the streamer trees. Three physical cases have been approximated by different power-law weightings of the statistical growth filter: dense ...
متن کاملDielectric breakdown model for composite materials.
This paper addresses the problem of dielectric breakdown in composite materials. The dielectric breakdown model was generalized to describe dielectric breakdown patterns in conductor-loaded composites. Conducting particles are distributed at random in the insulating matrix, and the dielectric breakdown propagates according to new rules to take into account electrical properties and particle siz...
متن کاملGrowth by random walker sampling and scaling of the dielectric breakdown model.
Random walkers absorbing on a boundary sample the harmonic measure linearly and independently: we discuss how the recurrence times between impacts enable nonlinear moments of the measure to be estimated. From this we derive a technique to simulate dielectric breakdown model growth, which is governed nonlinearly by the harmonic measure. For diffusion-limited aggregation, recurrence times are sho...
متن کاملFractal to nonfractal phase transition in the dielectric breakdown model.
A fast method is presented for simulating the dielectric-breakdown model using iterated conformal mappings. Numerical results for the dimension and for corrections to scaling are in good agreement with the recent renormalization group prediction of an upper critical eta(c) = 4, at which a transition occurs between branching fractal clusters and one-dimensional nonfractal clusters.
متن کاملThe Dielectric Breakdown Model at Small η: Pole Dynamics
We consider the dielectric breakdown model in the limit η → 0+. A differential equation describing the surface growth is derived; this equation is KPZ plus a term causing linear instability, and includes a short-distance regularization similar to a viscosity. The equation exhibits an interesting dynamics in terms of poles, permitting us to derive a large family of solutions to the equation of m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2008
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.77.066203