We study the problem of ballistic aggregation of particles living on a 2 dimensional lattice, and explore the evolution of the n umber density and the average kinetic energy of aggregates with time. It was shown theoretically using mean field analysis of continuum models that the quantities evolve as power laws with the exponent 𝜃=2𝑑/(𝑑+2). Numerical studies have confirmed the result but for large enough initial density, with 𝜃varying for lower values of density. Further it was also shown that the exponent crucially depends on the compactness of the aggregates also has been shown to play a role in determining the exponent. In the present work we would like to probe these questions for a 2 dimensional lattice gas for various type of aggregation behaviors.

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