Chin. Phys. Lett.  1990, Vol. 7 Issue (5): 193-196    DOI:
Original Articles |
TRAILS ON A REGULAR DIFFUSION-LIMITED AGGREGATION FRACTAL
WANG Xiaomin ZHENG Dafang LIN Zhifang;TAO Ruibao*
Department of Physics, Fudan University, Shanghai 200433 *Center of Theoretical Physics CCAST (World Laboratory) And Department of Physics, Fudan University, Shanghai 200433
Cite this article:   
WANG Xiaomin ZHENG Dafang LIN Zhifang, TAO Ruibao 1990 Chin. Phys. Lett. 7 193-196
Download: PDF(46KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract By an exact renormalization method the trail problem on a regular fractal for the diffusion-limited aggregation is considered, and the mean square end-toend distance critical exponent v is obtained. It is indicated that self-avoiding trails and self-avoiding walks are in different universality classes on this irreversible kinetic growth fractal.


Keywords: 05.40.+j      05.50.+q     
Published: 01 May 1990
PACS:  05.40.+j  
  05.50.+q (Lattice theory and statistics)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y1990/V7/I5/0193
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
WANG Xiaomin ZHENG Dafang LIN Zhifang
TAO Ruibao
Related articles from Frontiers Journals
[1] SU Xiao-Qiang** . Entanglement Enhancement in an XY Spin Chain[J]. Chin. Phys. Lett., 2011, 28(5): 193-196
[2] Ahmet Y�, ld�, r�, m, Syed Tauseef Mohyud-Din**. Analytical Approach to Space- and Time-Fractional Burgers Equations[J]. Chin. Phys. Lett., 2010, 27(9): 193-196
[3] LIU Ping, LOU Sen-Yue,. Lie Point Symmetries and Exact Solutions of the Coupled Volterra System[J]. Chin. Phys. Lett., 2010, 27(2): 193-196
[4] SUN Rong-Sheng, HUA Da-Yin. Synchronization of Local Oscillations in a Spatial Rock-Scissors-Paper Game Model[J]. Chin. Phys. Lett., 2009, 26(8): 193-196
[5] HE Min-Hua, ZHANG Duan-Ming, FANG Pin-Jie, LI Zhi-Cong, WANG Hai-Yan. Criticality of Epidemic Spreading in Mobile Individuals Mediated by Environment[J]. Chin. Phys. Lett., 2009, 26(1): 193-196
[6] XI Xiao-Qiang, LIU Wu-Ming. Generation of Long-Distance Entanglement in Spin System[J]. Chin. Phys. Lett., 2008, 25(7): 193-196
[7] KUANG Hua, SONG Tao, LI Xing-Li, DAI Shi-Qiang. Subconscious Effect on Pedestrian Counter Flow[J]. Chin. Phys. Lett., 2008, 25(4): 193-196
[8] WANG Ru, CHI Li-Ping, CAI Xu. Opinion Dynamics on Complex Networks with Communities[J]. Chin. Phys. Lett., 2008, 25(4): 193-196
[9] ZHANG Yan-Fei, WANG Chun-Lei, ZHAO Ming-Lei, LI Ji-Chao, ZHANG Rui-Zhi, LIU Jian, MEI Liang-Mo. Ferroelectric Properties of Polycrystalline Ceramics with Dipolar Defect Simulated from the Potts--Ising Model[J]. Chin. Phys. Lett., 2008, 25(4): 193-196
[10] YIN Yan-Ping, ZHANG Duan-Ming, TAN Jin, PAN Gui-Jun, HE Min-Hua. Multiple Partial Attacks on Complex Networks[J]. Chin. Phys. Lett., 2008, 25(2): 193-196
[11] ZHAI Xiao-Yue, TONG Pei-Qing. Thermal Entanglement of Anisotropic XY Chains in a Transverse Field[J]. Chin. Phys. Lett., 2007, 24(9): 193-196
[12] CAO Zhou-Jian, LI Peng-Fei, HU Gang,. From Autonomous Coherence Resonance to Periodically Driven Stochastic Resonance[J]. Chin. Phys. Lett., 2007, 24(4): 193-196
[13] WU Zhi-Xi, XU Xin-Jian, WANG Ying-Hai. Prisoner’s Dilemma Game with Heterogeneous Influential Effect on Regular Small-World Networks[J]. Chin. Phys. Lett., 2006, 23(3): 193-196
[14] WU Xin-Tian. Two-Dimensional Saddle Point Equation of Ginzburg--Landau Hamiltonian for the Diluted Ising Model[J]. Chin. Phys. Lett., 2006, 23(2): 193-196
[15] KE San-Min, YUE Rui-Hong. Exact Solution of the One-Dimensional N-Component Bariev Model with a Hard-Core Repulsion under Open Boundary Conditions[J]. Chin. Phys. Lett., 2006, 23(2): 193-196
Viewed
Full text


Abstract