In September 1990 DOE-PETC initiated at the Yale HTCRE Laboratory a systematic three-year research program directed toward providing engineers with the fundamentally-based design/optimization 'tools' for economically predicting the dynamics of net deposit growth*, and thermophysical properties of the resulting microparticulate deposits in coal-fired systems. In light of the theoretical 'program' based on the notion of ''self-regulation'' set forth in Rosner and Nagarajan (1987), this Task includes investigation of the effects of particle material properties and possible liquid phases on the capture properties of particulate deposits. For this purpose we exploit dynamical 'many-body' computer simulation techniques. This approach will provide the required parametric dependencies (on such quantities as incident kinetic energy and angle, mechanical and thermophysical properties of the particles, {hor_ellipsis}) of a dimensionless ensemble-averaged particle capture fraction, relegating the role of direct laboratory experiment to verifying (or rejecting) some crucial features/consequences of the simulation route followed. Our ultimate goal is recommend 'sticking' and 'erosion' laws of mechanistic origin. The availability of such laws could dramatically increase the reliability of predicted deposition rates of inertially delivered particles, in the simultaneous presence of a condensed liquid phase within the growing particulate, deposit. Equally important, one could also rationally select conditions to avoid. troublesome deposition subject to other operational requirements.