Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nature of driving force on an isolated moving vortex in dirty
  superconductors   We reconsider the force-balance relation on an isolated vortex in the flux
flow state within the scheme of time-dependent-Ginzburg-Landau (TDGL) equation.
We define force on the vortex by the total force on superconducting electrons
in the region $S$ surrounding the vortex. We derive the local momentum balance
relation of superconducting electrons and then find the force-balance relation
on isolated vortex with taking account of the fact that the transport current
in charged superconductors are inherently spatially varying with the scale of
penetration depth $\lambda$. We also find that nature of the driving force is
hydrodynamic when $S$ is the disk with radius $R$ satisfying $\xi\ll R\ll
\lambda$ ($\xi$ is the coherence length) while the hydrodynamic and magnetic
parts contribute equally to the driving force for $\lambda \lesssim R$.

18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin