Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The effect of asymmetric disorder on the diffusion in arbitrary networks   Considering diffusion in the presence of asymmetric disorder, an exact
relationship between the strength of weak disorder and the electric resistance
of the corresponding resistor network is revealed, which is valid in arbitrary
networks. This implies that the dynamics are stable against weak asymmetric
disorder if the resistance exponent $\zeta$ of the network is negative. In the
case of $\zeta>0$, numerical analyses of the mean first-passage time $\tau$ on
various fractal lattices show that the logarithmic scaling of $\tau$ with the
distance $l$, $\ln\tau\sim l^{\psi}$, is a general rule, characterized by a new
dynamical exponent $\psi$ of the underlying lattice.

12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom