Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparative study of the critical behavior in one-dimensional random and
  aperiodic environments   We consider cooperative processes (quantum spin chains and random walks) in
one-dimensional fluctuating random and aperiodic environments characterized by
fluctuating exponents omega>0. At the critical point the random and aperiodic
systems scale essentially anisotropically in a similar fashion: length (L) and
time (t) scales are related as t ~ log^{1/omega}. Also some critical exponents,
characterizing the singularities of average quantities, are found to be
universal functions of omega, whereas some others do depend on details of the
distribution of the disorder. In the off-critical region there is an important
difference between the two types of environments: in aperiodic systems there
are no extra (Griffiths)-singularities.

27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph