Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Short-range plasma model for intermediate spectral statistics   We propose a plasma model for spectral statistics displaying level repulsion
without long-range spectral rigidity, i.e. statistics intermediate between
random matrix and Poisson statistics similar to the ones found numerically at
the critical point of the Anderson metal-insulator transition in disordered
systems and in certain dynamical systems. The model emerges from Dysons
one-dimensional gas corresponding to the eigenvalue distribution of the
classical random matrix ensembles by restricting the logarithmic pair
interaction to a finite number $k$ of nearest neighbors. We calculate
analytically the spacing distributions and the two-level statistics. In
particular we show that the number variance has the asymptotic form
$\Sigma^2(L)\sim\chi L$ for large $L$ and the nearest-neighbor distribution
decreases exponentially when $s\to \infty$, $P(s)\sim\exp (-\Lambda s)$ with
$\Lambda=1/\chi=k\beta+1$, where $\beta$ is the inverse temperature of the gas
($\beta=$1, 2 and 4 for the orthogonal, unitary and symplectic symmetry class
respectively). In the simplest case of $k=\beta=1$, the model leads to the
so-called Semi-Poisson statistics characterized by particular simple
correlation functions e.g. $P(s)=4s\exp(-2s)$. Furthermore we investigate the
spectral statistics of several pseudointegrable quantum billiards numerically
and compare them to the Semi-Poisson statistics.

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The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg