Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamic Geometry, Phase Transitions, and the Widom Line   We construct a novel approach, based on thermodynamic geometry, to
characterize first-order phase transitions from a microscopic perspective,
through the scalar curvature in the equilibrium thermodynamic state space. Our
method resolves key theoretical issues in macroscopic thermodynamic constructs,
and furthermore characterizes the Widom line through the maxima of the
correlation length, which is captured by the thermodynamic scalar curvature. As
an illustration of our method, we use it in conjunction with the mean field Van
der Waals equation of state to predict the coexistence curve and the Widom
line. Where closely applicable, it provides excellent agreement with
experimental data. The universality of our method is indicated by direct
calculations from the NIST database.

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The categories of this paper are: acc-phys
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph