GROUND-STATES OF TWO DIRECTED POLYMERS

V. T. Petäjä, M. J. Alava and H. Rieger ()
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V. T. Petäjä: Helsinki University of Technology, Laboratory of Physics, P. O. Box 1100, FIN-02015 HUT, Finland
M. J. Alava: Helsinki University of Technology, Laboratory of Physics, P. O. Box 1100, FIN-02015 HUT, Finland
H. Rieger: Theoretische Physik, Universität des Saarlandes, 66041 Saarbrücken, Germany

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 03, 421-436

Abstract: 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 with "worst-possible" initial conditions, where the two lines start next to each other. It is found that these two-line configurations are (for almost all disorder configurations) distinct implying that the true two-line ground-state is nonseparable, which means that the two-line ground state cannot be obtained by adding a second line to the first line in the one-line ground state without deforming the first line. The effective interaction energy between the two lines scales with the system size with the scaling exponents0.39 ± 0.03and0.21 ± 0.02in 2D and 3D, respectively.

Keywords: Directed Polymer; Disorder; Ground States; Roughness; Energy Fluctuations (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S012918310100181X

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