Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamic holography   The holographic principle states that the information about a volume of a
system is encoded on the boundary surface of the volume. Holography appears in
many branches of physics, such as optics, electromagnetism, many-body physics,
quantum gravity, and string theory. Here we show that holography is also an
underlying principle in thermodynamics, a most important foundation of physics.
The thermodynamics of a system is fully determined by its partition function.
We prove that the partition function of a physical system is an analytic
function of all the physical parameters, and therefore its values in any area
on the complex plane of a physical parameter are uniquely determined by its
values along the boundary. The thermodynamic holography has applications in
studying thermodynamics of nano-scale systems (such as molecule engines,
nano-generators and macromolecules) and provides a new approach to many-body
physics.

31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas