TY - JOUR
T1 - Dynamics of invasion percolation
AU - Furuberg, Liv
AU - Feder, Jens
AU - Aharony, Amnon
AU - Jøssang, Torstein
PY - 1988
Y1 - 1988
N2 - Simulations of the growth of planar invasion percolation clusters exhibit novel dynamic scaling. The probability to invade a site at a distance r from a reference site at a time t after that site was invaded behaves as N(r,t)=r-1f(rDt), where D is the fractal dimension of the invaded region. The scaling function has the unusual timing behavior f(u)ua(u1) and u-b(u1), with a1.4, b0.6, and growth occurring mainly around rt1D.
AB - Simulations of the growth of planar invasion percolation clusters exhibit novel dynamic scaling. The probability to invade a site at a distance r from a reference site at a time t after that site was invaded behaves as N(r,t)=r-1f(rDt), where D is the fractal dimension of the invaded region. The scaling function has the unusual timing behavior f(u)ua(u1) and u-b(u1), with a1.4, b0.6, and growth occurring mainly around rt1D.
UR - http://www.scopus.com/inward/record.url?scp=0000299047&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.61.2117
DO - 10.1103/PhysRevLett.61.2117
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C2 - 10038988
AN - SCOPUS:0000299047
SN - 0031-9007
VL - 61
SP - 2117
EP - 2120
JO - Physical Review Letters
JF - Physical Review Letters
IS - 18
ER -