Theory of Diffusion Controlled Growth
| dc.creator | Ball, R. C. | |
| dc.creator | Somfai, E. | |
| dc.date | 2002-10-27 | |
| dc.date.accessioned | 2026-07-07T02:47:55Z | |
| dc.date.available | 2026-07-07T02:47:55Z | |
| dc.description | We expand upon a new theoretical framework for Diffusion Limited Aggregation and associated Dielectric Breakdown Models in two dimensions [R. C. Ball and E. Somfai, Phys. Rev. Lett. 89, 135503 (2002)]. Key steps are understanding how these models interrelate when the ultra-violet cut-off strategy is changed, the analogy with turbulence and the use of logarithmic field variables. Within the simplest, Gaussian, truncation of mode-mode coupling, all properties can be calculated. The agreement with prior knowledge from simulations is encouraging, and a new superuniversality of the tip scaling exponent is discussed. We find angular resonances relatable to the cone angle theory, and we are led to predict a new Screening Transition in the DBM at large eta. | |
| dc.description | 12 pages, 9 figures; expanded version of cond-mat/0205660 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0210598 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0210598 | |
| dc.identifier | Phys. Rev. E 67, 021401 (2003) | |
| dc.identifier | doi:10.1103/PhysRevE.67.021401 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20197 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Theory of Diffusion Controlled Growth | |
| dc.type | text |