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Ground-States Of Two Directed Polymers

Author

Listed:
  • 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)

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.

Suggested Citation

  • V. T. Petäjä & M. J. Alava & H. Rieger, 2001. "Ground-States Of Two Directed Polymers," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(03), pages 421-436.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:03:n:s012918310100181x
    DOI: 10.1142/S012918310100181X
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