Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-04-28
Phys. Rev. Lett. 82, 2705 (1999)
Physics
Condensed Matter
Disordered Systems and Neural Networks
RevTeX, 4 pages, 1 figure inserted
Scientific paper
10.1103/PhysRevLett.82.2705
We study the elastic (1+1)-dimensional string subject to a random gaussian potential on scales smaller than the correlation radius of the disorder potential (Larkin problem). We present an exact calculation of the probability function ${\cal P} [F(u,L)]$ for the free energy $F$ of a string starting at $(0,0)$ and ending at $(u,L)$. The function ${\cal P}(F)$ is strongly asymmetric, with the left tail decaying exponentially ($\ln {\cal P}(F\to-\infty)\propto F$) and the right tail vanishing as $\ln {\cal P}(F\to +\infty)\propto -F^{3}$. Our analysis defines a strategy for future attacks on this class of problems.
Blatter Gianni
Gorokhov Denis A.
No associations
LandOfFree
Exact free energy distribution function of a randomly forced directed polymer does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact free energy distribution function of a randomly forced directed polymer, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact free energy distribution function of a randomly forced directed polymer will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-87437