Home > Papers

 
 
Simultaneous analysis of three-dimensional percolation models
XU Xiao 1,WANG Jun-Feng 1, LV Jian-Ping 2, Deng You-Jin 1 *
1. Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei 230026
2. Department of Physics, China University of Mining and Technology, Xuzhou 221116
*Correspondence author
#Submitted by
Subject:
Funding: none
Opened online: 2 January 2014
Accepted by: none
Citation: XU Xiao,WANG Jun-Feng, LV Jian-Ping.Simultaneous analysis of three-dimensional percolation models[OL]. [ 2 January 2014] http://en.paper.edu.cn/en_releasepaper/content/4578827
 
 
We simulate the bond and site percolation models on several three-dimensional lattices,including the diamond, body-centered cubic, and face-centered cubic lattices.As on the simple-cubic lattice [Phys. Rev. E, extbf{87} 052107 (2013)],it is observed that in comparison with dimensionless ratios based on cluster-size distribution,certain wrapping probabilities exhibit weaker finite-size corrections and are more sensitiveto the deviation from percolation threshold $p_c$, and thus provide a powerful means for determining $p_c$.We analyze the numerical data of the wrapping probabilitiessimultaneously such that universal parameters are shared by the aforementioned models, andthus significantly improved estimates of $p_c$ are obtained.
Keywords:percolation threshold, critical exponents, simultaneous fits, finite-size scaling
 
 
 

For this paper

  • PDF (0B)
  • ● Revision 0   
  • ● Print this paper
  • ● Recommend this paper to a friend
  • ● Add to my favorite list

    Saved Papers

    Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags

Add yours

Related Papers

Statistics

PDF Downloaded 188
Bookmarked 0
Recommend 5
Comments Array
Submit your papers