Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Length scale dependent diffusion in the Anderson model at high
  temperatures   We investigate a single particle on a 3-dimensional, cubic lattice with a
random on-site potential (3D Anderson model). We concretely address the
question whether or not the dynamics of the particle is in full accord with the
diffusion equation. Our approach is based on the time-convolutionless (TCL)
projection operator technique and allows for a detailed investigation of this
question at high temperatures. It turns out that diffusive dynamics is to be
expected for a rather short range of wavelengths, even if the amount of
disorder is tuned to maximize this range. Our results are partially
counterchecked by the numerical solution of the full time-dependent
Schroedinger equation.

35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph