Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trouble with the Drude theory of metallic conduction: Incompatibility
  with special relativity   In this paper, we show that the classical Drude model of electrical
conductivity, one of the fundamental models in the theory of electrical
conductivity, is inconsistent with the special relativity. Due to this
incorrect model, a current carrying closed circuit is thought not to produce
second order electric field according to Maxwell's theory of electromagnetism.
But, Edwards et al. detected a small second order electric field radially
pointing toward a current carrying conductor in a superconducting Nb-Ti coil.
Assis et al. claim to show that Maxwell's theory does not predict any second
order forces and hence we should take Weber's electrodynamics seriously. But,
we show that not only a magnetic field, but also a second order electric field
is produced in the vicinity of a current carrying conductor, which is
consistent with Maxwell's theory. This electric field points radially toward
the current carrying conductor as detected in Edwards' experiments. We also
show that the positive field, detected by Sansbury in a U-shaped copper
conductor carrying a constant current, should be created as a consequence of
our theory. We then estimate the order of the strength of this electric field
and show that it is in agreement with the experimental values.

33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph