Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonequilibrium Mean-Field Theory of Resistive Phase Transitions   We investigate the quantum mechanical origin of resistive phase transitions
in solids driven by a constant electric field in the vicinity of a
metal-insulator transition. We perform a nonequilibrium mean-field analysis of
a driven-dissipative anti-ferromagnet, which we solve analytically for the most
part. We find that the insulator-to-metal transition (IMT) and the
metal-to-insulator transition (MIT) proceed by two distinct electronic
mechanisms: Landau-Zener processes, and the destabilization of metallic state
by Joule heating, respectively. However, we show that both regimes can be
unified in a common effective thermal description, where the effective
temperature $T_{\rm eff}$ depends on the state of the system. This explains
recent experimental measurements in which the hot-electron temperature at the
IMT was found to match the equilibrium transition temperature. Our analytic
approach enables us to formulate testable predictions on the non-analytic
behavior of $I$-$V$ relation near the insulator-to-metal transition. Building
on these successes, we propose an effective Ginzburg-Landau theory which paves
the way to incorporating spatial fluctuations, and to bringing the theory
closer to a realistic description of the resistive switchings in correlated
materials.

17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys