EfimovDNA phase diagram: Three stranded DNA on a cubic lattice
Abstract
We define a generalized model for threestranded DNA consisting of two chains of one type and a third chain of a different type. The DNA strands are modeled by random walks on the threedimensional cubic lattice with different interactions between two chains of the same type and two chains of different types. This model may be thought of as a classical analog of the quantum threebody problem. In the quantum situation, it is known that three identical quantum particles will form a triplet with an infinite tower of bound states at the point where any pair of particles would have zero binding energy. The phase diagram is mapped out, and the different phase transitions are examined using finitesize scaling. We look particularly at the scaling of the DNA model at the equivalent Efimov point for chains up to 10 000 steps in length. We find clear evidence of several bound states in the finitesize scaling. We compare these states with the expected Efimov behavior.
 Publication:

Journal of Chemical Physics
 Pub Date:
 August 2021
 DOI:
 10.1063/5.0059153
 arXiv:
 arXiv:2106.01690
 Bibcode:
 2021JChPh.155f4903B
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 19 pages and 8 figures