Berlin 2018 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
DY: Fachverband Dynamik und Statistische Physik
DY 10: Statistical Physics I (General)
DY 10.2: Vortrag
Montag, 12. März 2018, 10:15–10:30, BH-N 333
High precision free energy-distribution of directed polymers in random media — •Alexander K. Hartmann1, Pierre Le Doussal2, Satya N. Majumdar3, Alberto Rosso3, and Gregory Schehr3 — 1Institut für Physik, Universität Oldenburg, Germany — 2LPT, Ecole Normale Supérieure, Paris, France — 3LPTMS, Université Paris Sud, France
We study the distribution of relative free energies H of directed polymers in disordered media coupled to a heat bath at temperature T, which is in the Kardar-Parisi-Zhang (KPZ) universality class in 1+1 dimensions. We study the distribution at large and medium small temperatures, corresponding to short and medium long times in KPZ. Using a statistical mechanics-based large-deviation approach [1], the distribution can be obtained over a large range of the support, down to a probability density as small as 10−1000. We compare with analytical predictions for the KPZ equation for short [2] and long times [3], respectively. For short times a very good agreement is found for H<0 and a convergence is visible for H>0. For large times, an asymptotic convergence in the tails is visible.
[1] A.K. Hartmann, Phys. Rev. E 65, 056102 (2002).
[2] P. Le Doussal, S.N. Majumdar, A. Rosso, and G. Schehr, Phys. Rev. Lett. 117, 070403 (2016).
[3] P. Sasorov, B. Meerson, and S. Prolhac, J. Stat. Mech. 2017, 063203 (2017).