Dissipation, geometry, and the stability of the dense radial morphology.
作者： David G. Grier , Daniel Mueth
关键词: Stability (probability) 、 Fractal 、 Resistor 、 Radial growth 、 Dissipation 、 Morphology (linguistics) 、 Geometry 、 Envelope (mathematics) 、 Materials science 、 Linear stability analysis
摘要: The dense radial morphology appears in a number of systems undergoing branched growth. Neither ordered nor fractal, this pattern is characterized by large branches radiating from central seed and advancing behing circular envelope. We propose model for growth which self-consistently incorporates dissipation the channels. A linear stability analysis delimits conditions under can develop. Predictions are borne out numerical simulations evolving resistor bond networks
harvard.edu
sci-hub.se 参考文章(24)
T. A. Witten, L. M. Sander, Diffusion-limited aggregation, a kinetic critical phenomenon Physical Review Letters. ,vol. 47, pp. 1400- 1403 ,(1981) , 10.1103/PHYSREVLETT.47.1400
T. A. Witten, L. M. Sander, Diffusion-limited aggregation Physical Review B. ,vol. 27, pp. 5686- 5697 ,(1983) , 10.1103/PHYSREVB.27.5686
Yasuji Sawada, A. Dougherty, J. P. Gollub, Dendritic and fractal patterns in electrolytic metal deposits. Physical Review Letters. ,vol. 56, pp. 1260- 1263 ,(1986) , 10.1103/PHYSREVLETT.56.1260
D. Grier, E. Ben-Jacob, Roy Clarke, L. M. Sander, Morphology and microstructure in electrochemical deposition of zinc Physical Review Letters. ,vol. 56, pp. 1264- 1267 ,(1986) , 10.1103/PHYSREVLETT.56.1264
David G. Grier, David A. Kessler, L. M. Sander, Stability of the dense radial morphology in diffusive pattern formation. Physical Review Letters. ,vol. 59, pp. 2315- 2318 ,(1987) , 10.1103/PHYSREVLETT.59.2315
Electrodeposition in support: concentration gradients, an ohmic model and the genesis of branching fractals Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 423, pp. 149- 158 ,(1989) , 10.1098/RSPA.1989.0047
Y. Fukunaka, T. Yamamoto, Y. Kondo, Electrodeposition of Silver under Direct and Pulsed Current Journal of The Electrochemical Society. ,vol. 136, pp. 3278- 3283 ,(1989) , 10.1149/1.2096438
J. P. Stokes, D. A. Weitz, J. P. Gollub, A. Dougherty, M. O. Robbins, P. M. Chaikin, H. M. Lindsay, Interfacial stability of immiscible displacement in a porous medium. Physical Review Letters. ,vol. 57, pp. 1718- 1721 ,(1986) , 10.1103/PHYSREVLETT.57.1718
Y C Yortsos, Instabilities in displacement processes in porous media Journal of Physics: Condensed Matter. ,vol. 2, ,(1990) , 10.1088/0953-8984/2/S/071
J. R. Melrose, D. B. Hibbert, Electrical resistance of planar copper electrodeposits. Physical Review A. ,vol. 40, pp. 1727- 1730 ,(1989) , 10.1103/PHYSREVA.40.1727