Monte Carlo simulations for a kinetic growth model

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Abstract
We simulate a kinetic growth model on the square lattice using a Monte Carlo approach in order to study ramified polymerization with short-distance attractive interactions between monomers. The phase boundary separating finite from infinite growth regimes is obtained in the (T,b) space, where T is the reduced temperature and b is the branching probability. In the thermodynamic limit, we extrapolate the temperature below which the phase is found to be always infinite. We also observe the occurrence of a roughening transition at the polymer surface.

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