Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularized Boltzmann-Gibbs statistics for a Brownian particle in a
  non-confining field   We consider an overdamped Brownian particle subject to an asymptotically flat
potential with a trap of depth $U_0$ around the origin. When the temperature is
small compared to the trap depth ($\xi=k_B T/U_0 \ll 1$), there exists a range
of timescales over which physical observables remain practically constant. This
range can be very long, of the order of the Arrhenius factor ${\rm e}^{1/\xi}$.
For these quasi-equilibrium states, the usual Boltzmann-Gibbs recipe does not
work, since the partition function is divergent due to the flatness of the
potential at long distances. However, we show that the standard Boltzmann-Gibbs
(BG) statistical framework and thermodynamic relations can still be applied
through proper regularization. This can be a valuable tool for the analysis of
metastability in the non-confining potential fields that characterize a vast
number of systems.

36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th