Multifractality and Multiscaling in two dimensional fragmentation
作者： G.J. Rodgers , M.K. Hassan
DOI: 10.1016/0375-9601(96)00398-2
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摘要: Abstract We consider two models (A and B) which can describe both dimensional fragmentation stochastic fractals. Model A exhibits multifractality on a unique support when describing process one of infinitely many possible suports B obeys simple scaling.
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Z Cheng, S Redner, Kinetics of fragmentation Journal of Physics A. ,vol. 23, pp. 1233- 1258 ,(1990) , 10.1088/0305-4470/23/7/028
J. W. Evans, Random and cooperative sequential adsorption Reviews of Modern Physics. ,vol. 65, pp. 1281- 1329 ,(1993) , 10.1103/REVMODPHYS.65.1281
M.K. Hassan, G.J. Rodgers, Models of fragmentation and stochastic fractals Physics Letters A. ,vol. 208, pp. 95- 98 ,(1995) , 10.1016/0375-9601(95)00727-K
H. Mark, R. Simha, Degradation of long chain molecules Transactions of the Faraday Society. ,vol. 35, pp. 611- 618 ,(1940) , 10.1039/TF9403500611
P.L. Krapivsky, E. Ben-Naim, Multiscaling in stochastic fractals Physics Letters A. ,vol. 196, pp. 168- 172 ,(1994) , 10.1016/0375-9601(94)91220-3
C. W. Clenshaw, Yudell L. Luke, The Special Functions and Their Approximations Mathematics of Computation. ,vol. 26, pp. 297- ,(1972) , 10.2307/2004747
E. D. McGrady, Robert M. Ziff, "Shattering" transition in fragmentation. Physical Review Letters. ,vol. 58, pp. 892- 895 ,(1987) , 10.1103/PHYSREVLETT.58.892
G. J. Rodgers, M. K. Hassan, Fragmentation of particles with more than one degree of freedom. Physical Review E. ,vol. 50, pp. 3458- 3463 ,(1994) , 10.1103/PHYSREVE.50.3458
T Ditzinger, CZ Ning, G Hu, None, Resonancelike responses of autonomous nonlinear systems to white noise. Physical Review E. ,vol. 50, pp. 3508- 3516 ,(1994) , 10.1103/PHYSREVE.50.3508
Elliott W. Montroll, Robert Simha, Theory of Depolymerization of Long Chain Molecules Journal of Chemical Physics. ,vol. 8, pp. 721- 726 ,(1940) , 10.1063/1.1750807