Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Current relaxation in nonlinear random media   We study the current relaxation of a wave packet in a nonlinear random sample
coupled to the continuum and show that the survival probability decays as $P(t)
\sim 1/t^{\alpha}$. For intermediate times $t<t^*$, the exponent $\alpha$
satisfies a scaling law $\alpha =f(\Lambda=\chi/l_{\infty})$ where $\chi$ is
the nonlinearity strength and $l_{\infty}$ is the localization length of the
corresponding random system with $\chi=0$. For $t\gg t^*$ and $\chi>\chi_{\rm
cr}$ we find a universal decay with $\alpha=2/3$ which is a signature of the
{\it nonlinearity-induced delocalization}. Experimental evidence should be
observable in coupled nonlinear optical waveguides.

11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
19
The categories of this paper are: eess
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph