Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Capacitance and charge relaxation resistance of chaotic cavities - Joint
  distribution of two linear statistics in the Laguerre ensemble of random
  matrices   We consider the AC transport in a quantum RC circuit made of a coherent
chaotic cavity with a top gate. Within a random matrix approach, we study the
joint distribution for the mesoscopic capacitance $C_\mu=(1/C+1/C_q)^{-1}$ and
the charge relaxation resistance $R_q$, where $C$ is the geometric capacitance
and $C_q$ the quantum capacitance. We study the limit of a large number of
conducting channels $N$ with a Coulomb gas method. We obtain $\langle
R_q\rangle\simeq h/(Ne^2)=R_\mathrm{dc}$ and show that the relative
fluctuations are of order $1/N$ both for $C_q$ and $R_q$, with strong
correlations $\langle \delta C_q\delta R_q\rangle/\sqrt{\langle \delta
C_q^2\rangle\,\langle \delta R_q^2\rangle}\simeq+0.707$. The detailed analysis
of large deviations involves a second order phase transition in the Coulomb
gas. The two dimensional phase diagram is obtained.

13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
16
The categories of this paper are: stat
18
The categories of this paper are: econ