Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-range influence of a pump on a critical fluid   A pump coupled to a conserved density generates long-range modulations,
resulting from the non-equilibrium nature of the dynamics. We study how these
modulations are modified at the critical point where the system exhibits
intrinsic long-range correlations. To do so, we consider a pump in a diffusive
fluid, which is known to generate a density profile in the form of an electric
dipole potential and a current in the form of a dipolar field above the
critical point. We demonstrate that while the current retains its form at the
critical point, the density profile changes drastically. At criticality, in
$d<4$ dimensions, the deviation of the density from the average is given by
${\rm sgn}(\cos(\theta))|\cos({\theta})/r^{(d-1)}|^{1/\delta}$ at large
distance $r$ from the pump and angle $\theta$ with respect to the pump's
orientation. At short distances, there is a crossover to a
$\cos({\theta})/r^{d-3+\eta}$ profile. Here $\delta$ and $\eta$ are Ising
critical exponents. The effect of the local pump on the domain wall structure
below the critical point is also considered.

22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc