Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-equilibrium thermodynamics and Phase transition of Ehrenfest urns
  with interactions   Ehrenfest urns with interaction that are connected in a ring is considered as
a paradigm model for non-equilibrium thermodynamics and is shown to exhibit two
distinct non-equilibrium steady states (NESS) of uniform and non-uniform
particle distributions. As the inter-particle attraction varies, a first order
non-equilibrium phase transition occurs between these two NESSs characterized
by a coexistence regime. The phase boundaries, the NESS particle distributions
near saddle points and the associated particle fluxes, average urn population
fractions, and the relaxational dynamics to the NESSs are obtained analytically
and verified numerically. A generalized non-equilibrium thermodynamics law is
also obtained, which explicitly identifies the heat, work, energy and entropy
of the system.

12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int