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A Principle of Regulating the Collective Effect of Assembling Patterns in a Moderate Number of Equivalent Finite Regular Arrays of Active Nanoelements due to Local Transferring Information by Pairs Hopping under Synchronous Excitation

W. Kozlowski
Inst. Biocybernetics & Biomed.Eng. PAS, PL

Keywords:
collective effects, regulation, nano-systems

Abstract:
One reports computational study that reveals a set of general requirements fulfilling of which would afford the opportunity for using changes in ambient conditions to regulate accomplishing the collective outcome (collective effect CE) of evolution of an ensemble of a moderate number M of complex discrete systems with assembling patterns of active nano-elements placed at sites of a regular grid patterning the surface (see also, Physica A 342 (2004) 708-740 or preprint, http://arxiv.org/cond-mat/0307215). It is shown that a prerequisite for employing changes in ambient conditions to regulate the CE is realizing the local information transfer within the component systems of the evolving ensemble system by one dimensional elements able to change their positions in finite discrete space while transmitting certain signals between their ends. Each such element allows representation by the pair of its ends only, one end that only sends a signal and the other receiving it. Hopping of the pair to a separate position close by requires obeying certain stochastic condition and can result in activating site being destination of the receiving end. The expansion of the activated areas in the ensemble systems is modeled as a random expansion process (REP) simulated as Markov process of covering sites of the finite regular hexagonal array. Accomplishing of the CE in course of the REP is represented by the sequence of patterns, MMS(T) being mean expected forms of the M patterns characterizing all the evolution realizations at the respective stages T. We show how changes in the sequence MMS(T) can be regulated by varying the parameters of the model ambient conditions.

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