Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On U_q(SU(2))-symmetric Driven Diffusion   We study analytically a model where particles with a hard-core repulsion
diffuse on a finite one-dimensional lattice with space-dependent, asymmetric
hopping rates. The system dynamics are given by the
\mbox{U$_{q}$[SU(2)]}-symmetric Hamiltonian of a generalized anisotropic
Heisenberg antiferromagnet. Exploiting this symmetry we derive exact
expressions for various correlation functions. We discuss the density profile
and the two-point function and compute the correlation length $\xi_s$ as well
as the correlation time $\xi_t$. The dynamics of the density and the
correlations are shown to be governed by the energy gaps of a one-particle
system. For large systems $\xi_s$ and $\xi_t$ depend only on the asymmetry. For
small asymmetry one finds $\xi_t \sim \xi_s^2$ indicating a dynamical exponent
$z=2$ as for symmetric diffusion.

22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom