Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamic behavior of supercritical matter   Since their discovery in 1822, supercritical fluids have been of enduring
interest, and have started to be deployed in many important applications.
Theoretical understanding of the supercritical state is lacking, and is seen to
limit further industrial deployment. Here, we study thermodynamic properties of
the supercritical state, and discover that specific heat shows a crossover
between two different regimes, an unexpected result in view of currently
perceived homogeneity of supercritical state in terms of physical properties.
We subsequently formulate a theory of system thermodynamics above the
crossover, and find good agreement between calculated and experimental specific
heat with no free fitting parameters. We derive a power law and analyze
supercritical scaling exponents in the system above the Frenkel line. In this
theory, energy and heat capacity are governed by the minimal length of the
longitudinal mode in the system only, and do not explicitly depend on
system-specific structure and interactions.

24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat