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The self-avoid random walk algorithm has been extensively used in the studyof polymers. In this work we study the basic properties of the trajectoriesgenerated with this algorithm when two interactions are added to it: contactand folding interaction. These interactions represent the internal forces ofthe polymer as well as the effect of the solvent. When independently added tothe algorithm, the contact interaction creates the compact phase while thefolding one creates the extended phase. These are the consequences of thetypical event of each interaction. On the other hand, when this typical eventis avoided there is no established phase on the system. When simultaneouslyadded, there is a competition between the interactions and the folding one isdominant over the contact one. The resulting phase is always the extended onewith and without the contact interaction.

Theoretical study of the competition between folding and contact interactions on the properties of polymers using self-avoid random walk algorithm