CRITICAL EXPONENTS OF A 2-DIMENSIONAL CONTINUUM PERCOLATION SYSTEM

A simulation is carried out in order to investigate percolation thresh old and critical exponents of a two-dimensional continuum percolation system. In the simulation, many circular holes are made in a rectangul ar plane at random until all of the paths from one end to the other di sappear. The critical exponent nu = 1.64 for the correlation length is obtained on the basis of a scaling assumption, and the behavior of co nnectivity and percolation probability near the percolation threshold for an infinite sample is estimated by applying the finite-size scalin g.