Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determining the Superconducting Transition Temperatures of Liquids   We develop a non-perturbative approach for calculating the superconducting
transition temperatures ($T_{c}$) of liquids. The electron-electron scattering
amplitude induced by electron-phonon coupling (EPC), from which the effective
pairing interaction can be inferred, is related to the fluctuation of the
$T$-matrix of electron scattering induced by ions. By applying the relation,
EPC parameters can be extracted from a path-integral molecular dynamics
simulation. For determining $T_{c}$, the linearized Eliashberg equations are
re-established in the non-perturbative context. We apply the approach to
estimate $T_{c}$ of metallic hydrogen liquids. It indicates that metallic
hydrogen liquids in the pressure regime from $0.5$ to $1.5\mathrm{\,TPa}$ have
$T_{c}$ well above their melting temperatures, therefore are superconducting
liquids.

27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg