Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamic critical exponent of two-, three-, and four-dimensional XY
  models with relaxational and resistively shunted junction dynamics   The dynamic critical exponent $z$ is determined numerically for the
$d$-dimensional XY model ($d=2, 3$, and 4) subject to relaxational dynamics and
resistively shunted junction dynamics. We investigate both the equilibrium
fluctuation and the relaxation behavior from nonequilibrium towards
equilibrium, using the finite-size scaling method. The resulting values of $z$
are shown to depend on the boundary conditions used, the periodic boundary
condition, and fluctuating twist boundary condition (FTBC), which implies that
the different treatments of the boundary in some cases give rise to different
critical dynamics. It is also found that the equilibrium scaling and the
approach to equilibrium scaling for the the same boundary condition do not
always give the same value of $z$. The FTBC in conjunction with the finite-size
scaling of the linear resistance for both type of dynamics yields values of $z$
consistent with expectations for superfluids and superconductors: $z = 2$, 3/2,
and 2 for $d=2$, 3, and 4, respectively.

5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex