Jaya Maji, Somendra M. Bhattacharjee, Flavio Seno, Antonio Trovato
The existence of an Efimov-DNA, namely a three strand DNA bound state in conditions where a duplex DNA would be in the denaturated state, was recently predicted from a study of three directed polymer models on simplified hierarchical lattices (d > 2) and in 1 + 1 dimensions. In this paper we study the melting of the three-stranded DNA on a Sierpinski gasket of dimensions d < 2 by assigning extra weight factors to fork openings and closings, to induce a two strand DNA melting. In such a context we can find again the existence of the Efimov-DNA like state but quite surprisingly we discover also the presence of a novel phase, to be called a mixed state, where the strands are pair-wise bound but without three chain contacts. Whereas the Efimov-DNA turns out to be a crossover near melting, the mixed phase is a thermodynamic phase.
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http://arxiv.org/abs/1306.4206
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