TY - JOUR
T1 - Monte-Carlo Renormalization-Group Approach to Percolation on a Continuum
T2 - Test of Universality
AU - Vicsek, Tamás
AU - Kertész, János
PY - 1981
Y1 - 1981
N2 - It is shown that a Monte Carlo renormalisation-group technique can be employed for direct renormalisation of a system on a continuum, i.e. without restriction to a periodic lattice. For the problem of overlapping discs the authors find the critical area fraction sc=0.688+or-0.005 and the correlation-length critical exponent nu =1.33+or-0.07. The latter result indicates the regular-irregular lattice universality.
AB - It is shown that a Monte Carlo renormalisation-group technique can be employed for direct renormalisation of a system on a continuum, i.e. without restriction to a periodic lattice. For the problem of overlapping discs the authors find the critical area fraction sc=0.688+or-0.005 and the correlation-length critical exponent nu =1.33+or-0.07. The latter result indicates the regular-irregular lattice universality.
UR - https://m2.mtmt.hu/api/publication/1012258
U2 - 10.1088/0305-4470/14/2/003
DO - 10.1088/0305-4470/14/2/003
M3 - Article
SN - 0305-4470
VL - 14
SP - L31-L37
JO - Journal of Physics A: General Physics
JF - Journal of Physics A: General Physics
IS - 2
ER -