Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence of kinetic-theory and random-matrix approaches to Lyapunov
  spectra of hard-sphere systems   In the study of chaotic behaviour of systems of many hard spheres, Lyapunov
exponents of small absolute value exhibit interesting characteristics leading
to speculations about connections to non-equilibrium statistical mechanics.
Analytical approaches to these exponents so far can be divided into two groups,
macroscopically oriented approaches, using kinetic theory or hydrodynamics, and
more microscopically oriented random-matrix approaches in quasi-one-dimensional
systems. In this paper, I present an approach using random matrices and weak
disorder expansion in an arbitrary number of dimensions. Correlations between
subsequent collisions of a particle are taken into account. It is shown that
the results are identical to those of a previous approach based on an extended
Enskog-equation. I conclude that each approach has its merits, and provides
different insights into the approximations made, which include the
Sto{\ss}zahlansatz, the continuum limit, and the long-wavelength approximation.
The comparison also gives insight into possible connections between Lyapunov
exponents and fluctuations.

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The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom