Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hessian matrix, specific heats, Nambu brackets, and thermodynamic
  geometry   As an extension to our earlier work \cite{Mirza2}, we employ the Nambu
brackets to prove that the divergences of heat capacities correspond to their
counterparts in thermodynamic geometry. We also obtain a simple representation
for the conformal transformations that connect different thermodynamics metrics
to each other. Using our bracket approach, we obtain interesting exact
relations between the Hessian matrix with any number of parameters and specific
heat capacities. Finally, we employ this approach to investigate some
thermodynamic properties of the Meyers-Perry black holes with three spins.

35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys