Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2003-07-09
Physica A: Statistical Mechanics and its Applications, vol. 342, issue 3-4, pp. 708-740 (2004)
Physics
Condensed Matter
Soft Condensed Matter
22 pages, 10 eps figures, corrected URL address placing in text, minor editorial correction in sec.2, author e-mail changed
Scientific paper
10.1016/j.physa.2004.05.071
One reports computational study revealing a set of general requirements, fulfilling of which would allow employing changes in ambient conditions to regulate accomplishing the collective outcome of emerging active network patterns in an ensemble of a moderate number of finite discrete systems. The patterns within all these component systems emerge out of random expansion process governed by certain local rule. The systems modeled are of the same type but different in details, finite discrete spatial domains of the expansion within the systems are equivalent regular hexagonal arrays. The way in which elements of a component system function in the local information transmission allows dividing them into two classes. One class is represented by zero-dimensional entities coupled into pairs identified at the array sites being nearest neighbors. The pairs preserve their orientation in the space while experiencing conditional hopping to positions close by and transferring certain information portions. Messenger particles hopping to signal the pairs for the conditional jumping constitute the other class. Contribution from the hopping pairs results in finite size effects being specific feature of accomplishing the mean expected network pattern representing the collective outcome. It is shown how manifestations of the finite size effects allow using changes in parameters of the model ambient conditions of the ensemble evolution to regulate accomplishing the collective outcome representation.
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