Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kinetic theoretical foundation of Lorentzian statistical mechanics   A new kinetic theory Boltzmann-like collision term including correlations is
proposed. In equilibrium it yields the one-particle distribution function in
the form of a generalised-Lorentzian resembling but not being identical with
the so-called $\kappa$ distribution frequently found in collisionless turbulent
systems like space plasmas. We show that this distribution function satisfies a
generalised $H$-theorem, yields an expression for the entropy that is concave.
Thus, the distribution is a `true' thermodynamic equilibrium distribution,
presumably valid for turbulent systems. In equilibrium it is possible to
construct the fundamental thermodynamic quantities. This is done for an ideal
gas only. The new kinetic equation can form the basis for obtaining a set of
hydrodynamic conservation laws and construction of a generalised transport
theory for strongly correlated states of a system.

35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin