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Some Applications of the Percolation Theory: Brief Review of the Century Beginning 被引量:2

Some Applications of the Percolation Theory: Brief Review of the Century Beginning
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出处 《材料科学与工程(中英文A版)》 2015年第11期409-414,共6页 Journal of Materials Science and Engineering A
Disordered system, critical phenomena, percolation cluster, fractal dimension, critical exponents, percolation threshold.
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  • 1Menshikov, M. V., Molchanov, S. A. and Sidorenko, A. F. 1986. "Percolation Theory and Some Applications." In Results of science and technology, Series "Probability. Math. Statistics" 24, Moscow: VINITI, 53-110.
  • 2Feder, J. 1988. Fractals, NewYork: Plenum Press.
  • 3Shklovskii, B. I. and Efros, A. L. 1984. "Electronic Properties of Doped Semiconductors." Berlin: Springer.
  • 4Sokolov, I. M. 1986. "Dimensionalities and Other Geometric Critical Exponents in Percolation Theory."Sov. Phys. Usp. 29: 924-45.
  • 5Grinchuk, P. S. and Rabinovich, O. S. 2003. "Extremum of the Percolation Cluster Surface." Journal of Experimental and Theoretical Physics 96:301-9.
  • 6Hsu, H. P. and Huang, M. C. 1999. "Percolation Thresholds, Critical Exponems, and Scaling Functions on Planar Random Lattices and Their Duals. " Phys. Rev. E 60: 6361-70.
  • 7Hassan, M. K. and Rahman, M. M. 2015. "Percolation on a Multifractal Scale-Free Planar Stochastic Lattice and its Universality Class." Phys. Rev. E 92: 040101.
  • 8KneZevi6, D. and KneZevi6, M. 2016. "Semi-Directed Percolation in Two Dimensions." Physica A 444: 560-5.
  • 9Iudin, D. I., Sergeyev, Ya. D. and Hayakawa, M. 2012. "Interpretation of Percolation in Terms of Infinity Computations." Applied Mathematics and Computation 16: 8099-111.
  • 10Sergeyev, Ya. D. 2009. "Computer System for Storing Infinite, Infinitesimal, and Finite Quantities and Executing Arithmetical Operations with Them." EU Patent 1728149, 03.06.

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