Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact conditions and scaling relations in finite temperature density
  functional theory   Finite temperature density functional theory provides, in principle, an exact
description of the thermodynamical equilibrium of many-electron systems. In
practical applications, however, the functionals must be approximated.
Efficient and physically meaningful approximations can be developed if relevant
properties of the exact functionals are known and taken into consideration as
constraints. In this work, derivations of exact properties and scaling
relations for the main quantities of finite temperature density functional
theory are presented. In particular, a coordinate scaling transformation at
finite temperature is introduced and its consequences are elucidated.

23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th