TY - JOUR
T1 - A transfer matrix study of conductivity and permeability exponents in continuum percolation
AU - Murat, M.
AU - Marianer, S.
AU - Bergman, D. J.
PY - 1986
Y1 - 1986
N2 - The conductivity and permeability exponents for the Swiss cheese model of continuum percolation are calculated numerically, using the transfer matrix method. In two dimensions, the conductivity exponent, t, is shown to equal its universal value tun=1.24, while the permeability exponent e=2.53 is considerably larger. The same exponents in three dimensions are also determined and found to be t=2.46 and e=4.1, greatly exceeding the universal value t un=1.95. The results are in fair agreement with earlier theoretical predictions.
AB - The conductivity and permeability exponents for the Swiss cheese model of continuum percolation are calculated numerically, using the transfer matrix method. In two dimensions, the conductivity exponent, t, is shown to equal its universal value tun=1.24, while the permeability exponent e=2.53 is considerably larger. The same exponents in three dimensions are also determined and found to be t=2.46 and e=4.1, greatly exceeding the universal value t un=1.95. The results are in fair agreement with earlier theoretical predictions.
UR - http://www.scopus.com/inward/record.url?scp=0346931996&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/19/5/011
DO - 10.1088/0305-4470/19/5/011
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AN - SCOPUS:0346931996
SN - 0305-4470
VL - 19
SP - L275-L279
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 5
M1 - 011
ER -