Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Left-right splitting of elliptic flow due to directed flow in heavy ion
  collisions   Recently the splitting of elliptic flow $v_2$ at finite rapidities has been
proposed as a result of the global vorticity in non-central relativistic heavy
ion collisions. Using a multi-phase transport model that automatically includes
the vorticity field and flow fluctuations, we confirm the left-right (i.e., on
opposite sides of the impact parameter axis) splitting of the elliptic flow at
finite rapidities. However, we find that this $v_2$ splitting is a result of
the non-zero directed flow $v_1$ at finite rapidities, with the splitting
magnitude $\approx 8v_1/3\pi$. As a result, the $v_2$ splitting vanishes at
zero transverse momentum ($p_{\rm T}$), and its magnitude and sign may have
non-trivial dependences on $p_{\rm T}$, centrality, collision energy, and
hadron species. Since the left-right $v_2$ splitting is a combined effect of
$v_1$ and $v_2$, it will benefit studies of the three-dimensional structure and
dynamics of the dense matter.

18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg