Ground-States of Two Directed Polymers

Details Ground-States of Two Directed Polymers Ground-States of Two Directed Polymers

2000-04-10

arxiv.org/abs/cond-mat/0004149v1

Int. J. Mod. Phys. C 12, 421 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

19 pages RevTeX, figures included

Scientific paper

10.1142/S012918310100181X

Joint ground states of two directed polymers in a random medium are investigated. Using exact min-cost flow optimization the true two-line ground-state is compared with the single line ground state plus its first excited state. It is found that these two-line configurations are (for almost all disorder configurations) distinct implying that the true two-line ground-state is non-separable, even with 'worst-possible' initial conditions. The effective interaction energy between the two lines scales with the system size with the scaling exponents 0.39 and 0.21 in 2D and 3D, respectively.

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