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Abstract
We consider the "Touch and Stop" cluster growth percolation (CGP) model on the two
dimensional square lattice. A key-parameter in the model is the fraction p of occupied
"seed" sites that act as nucleation centers from which a particular cluster growth
procedure is started. Here, we consider two growth-styles: rhombic and disk-shaped
cluster growth. For intermediate values of p the final state, attained by the growth
procedure, exhibits a cluster of occupied sites that spans the entire lattice. Using
numerical simulations we investigate the percolation probability and the order parameter
and perform a finite-size scaling analysis for lattices of side length up to L=1024
in order to carefully determine the critical exponents that govern the respective
transition. In contrast to previous studies, reported in [Tsakiris et al., Phys. Rev.
E 82 (2010) 041108], we find strong numerical evidence that the CGP model is in the
standard percolation universality class.