Spanning trees for the geometry and dynamics of compact polymers

Details Spanning trees for the geometry and dynamics of compact polymers Spanning trees for the geometry and dynamics of compact polymers

2010-02-17

arxiv.org/abs/1002.3367v2

J. Stat. Mech. (2010) L03004

Physics

Condensed Matter

Statistical Mechanics

10 pages, 8 figures

Scientific paper

10.1088/1742-5468/2010/03/L03004

Using a mapping of compact polymers on the Manhattan lattice to spanning trees, we calculate exactly the average number of bends at infinite temperature. We then find, in a high temperature approximation, the energy of the system as a function of bending rigidity and polymer elasticity. We identify the universal mechanism for the relaxation of compact polymers and then endow the model with physically motivated dynamics in the convenient framework of the trees. We find aging and domain coarsening after quenches in temperature. We explain the slow dynamics in terms of the geometrical interconnections between the energy and the dynamics.

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