Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonmonotonic confining potential and eigenvalue density transition for
  generalized random matrix model   We consider several limiting cases of the joint probability distribution for
a random matrix ensemble with an additional interaction term controlled by an
exponent $\gamma$ (called the $\gamma$-ensembles). The effective potential,
which is essentially the single-particle confining potential for an equivalent
ensemble with $\gamma=1$ (called the Muttalib-Borodin ensemble), is a crucial
quantity defined in solution to the Riemann-Hilbert problem associated with the
$\gamma$-ensembles. It enables us to numerically compute the eigenvalue density
of $\gamma$-ensembles for all $\gamma > 0$. We show that one important effect
of the two-particle interaction parameter $\gamma$ is to generate or enhance
the non-monotonicity in the effective single-particle potential. For suitable
choices of the initial single-particle potentials, reducing $\gamma$ can lead
to a large non-monotonicity in the effective potential, which in turn leads to
significant changes in the density of eigenvalues. For a disordered conductor,
this corresponds to a systematic decrease in the conductance with increasing
disorder. This suggests that appropriate models of $\gamma$-ensembles can be
used as a possible framework to study the effects of disorder on the
distribution of conductances.

16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc