Based on a 2D version of the Smoluchowski-type model, formulated in a phase space of the linear objects' sizes R-s in terms of the mesoscopic nonequilibrium thermodynamics (MNET) as a guiding formalism/mechanism, we are looking in a comparative way for its basic trends and characteristics in a suitably designed Monte Carlo (MC) computer experiment on model biopolymer aggregation. The preliminary small-scale simulation results indicate that the examined hydrophobic-polar HP (dis)ordered aggregations bear two-type signatures of the underlying (complex) Smoluchowski dynamics. The first one is associated with a phase-separative tendency, showing up, in suitable conditions, lamellar ordering within the cluster, intermingled randomly with an amorphous phase. This is the case called by us the cylindrolite formation. The second-type signature, in turn, seems to point out some more disordered-from-within overall HP aggregations, presumably resulting in establishing a large HP mega-cluster, tending to span all over the available 2D simulation space. The quantitative characteristics derived so far show up at best an approximative tendency towards interpolating between this two types of aggregation/phase-separation signatures. A certain hope for better adjusting theory to computer simulation may come from realizing a non-Markovian character of the process which, for example, enables one to manipulate with the time scale in a case-sensitive, presumably excluded-area involving manner.

PACS numbers: 05.10.Gg, 05.10.Ln, 05.20.Dd, 05.60.Cd