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- W2045982476 abstract "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 ($ln {cal P}(Fto-infty)propto F$) and the right tail vanishing as $ln {cal P}(Fto +infty)propto -F^{3}$. Our analysis defines a strategy for future attacks on this class of problems." @default.
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- W2045982476 date "1999-03-29" @default.
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- W2045982476 title "Exact Free Energy Distribution Function of a Randomly Forced Directed Polymer" @default.
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- W2045982476 doi "https://doi.org/10.1103/physrevlett.82.2705" @default.
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