TY - JOUR
T1 - Critical behavior of the two-dimensional sticks system
AU - Balberg, I.
AU - Binenbaum, N.
AU - Anderson, C. H.
PY - 1983
Y1 - 1983
N2 - Percolation critical exponents are derived, for the first time, for a two-dimensional system of randomly distributed conducting sticks, which provides a very convenient model for the study of continuum percolation. In the present computer study it was found that the corresponding conductivity exponent, t, has the value of 1.24±0.03 and that the cluster exponents β, γ, and τ have the values 0.14±0.02, 2.3±0.2, and 2.0±0.1, respectively. These results, which are in excellent agreement with values derived for lattices, show that the conductivities of continuum systems and of lattice systems belong to the same universality class.
AB - Percolation critical exponents are derived, for the first time, for a two-dimensional system of randomly distributed conducting sticks, which provides a very convenient model for the study of continuum percolation. In the present computer study it was found that the corresponding conductivity exponent, t, has the value of 1.24±0.03 and that the cluster exponents β, γ, and τ have the values 0.14±0.02, 2.3±0.2, and 2.0±0.1, respectively. These results, which are in excellent agreement with values derived for lattices, show that the conductivities of continuum systems and of lattice systems belong to the same universality class.
UR - http://www.scopus.com/inward/record.url?scp=4544284145&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.51.1605
DO - 10.1103/PhysRevLett.51.1605
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AN - SCOPUS:4544284145
SN - 0031-9007
VL - 51
SP - 1605
EP - 1608
JO - Physical Review Letters
JF - Physical Review Letters
IS - 18
ER -