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In this work, we present a simple and efficient generator of polymeric linearchains, based on a random self-avoiding walk process. The chains are generatedusing a discrete process of growth, in cubic networks and in a finite time,without border limits and without exploring all the configurational space.First, we thoroughly describe the chains morphology exploring the statistics oftwo characteristic distances, the radius of gyration and the end-to-enddistance. Moreover, we examine the dependence of mean characteristic distanceswith the number of steps (N). Despite the simplicity of our procedure, weobtain universal critical exponents, which are in very good agreement withprevious values reported in the literature. Moreover, studying the balancebetween the monomer-monomer interaction and the bending energy, we find thatinitially, the chains develop by multiple doubling, forming a cluster andincreasing its energy. After reaching a given number of steps, the chainsstretch and flee from the cluster, which results in a reduction of itsinteraction energy. However, the behaviour of the bending energy reveals thatthe chains follow the same folding pathway in both regimes. Additionally, wealso characterize the energy of the obtained chains, combining the localinteraction energy with its corresponding bending energy but in a discreteversion. This analysis is relevant because it allows differentiating betweenchains of equal interaction energy but with different structures.

A simple self-avoiding walking process as a reasonable non-conventional generator of polymeric linear chains