Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instability of Equilibrium States for Coupled Heat Reservoirs at
  Different Temperatures   We consider quantum systems consisting of a ``small'' system coupled to two
reservoirs (called open systems). We show that such a system has no equilibrium
states normal with respect to any state of the decoupled system in which the
reservoirs are at different temperatures, provided that either the temperatures
or the temperature difference divided by the product of the temperatures are
not too small.
  Our proof involves an elaborate spectral analysis of a general class of
generators of the dynamics of open quantum systems, including quantum Liouville
operators (``positive temperature Hamiltonians'') which generate the dynamics
of the systems under consideration.

36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex