On Monte Carlo generation and study of anisotropy of lattice animals

A new type of cluster in the universality class of lattice animals is introduced based on a stochastic form of the Martin algorithm by the Monte Carlo method. Lattice animals with sizes up to 1000 sites are generated. The asymptotic radius of the gyration exponent is consistent with the value 0.64, corresponding to a fractal dimension of 1.56. An investigation of anisotropy of these animals shows that small animals are anisotropic while larger ones are not.