Abstract
We consider the directed polymer problem in two dimensions on a torus at zero temperature. For each site x we can compute the free energy e(x) of the conformation of the polymer which goes by this site. We analyse the geometrical properties of this free energy landscape e(x) which has the original property of being translationally invariant in terms of the one-point probability density of free energy. In particular, we study the statistical distribution of energies e as a function of the system size, and the spatial correlations parallel and perpendicular to the mean orientation of the polymer. The free energy field is shown to display an anisotropic self-affine structure. The scaling exponents obtained numerically are in good agreement with predicted values.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
