Hessian matrix, specific heats, Nambu brackets, and thermodynamic geometry

Seyed Ali Hosseini Mansoori, Behrouz Mirza, Mohamadreza Fazel
2015 Journal of High Energy Physics  
As an extension to our earlier work 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
more » ... h to investigate some thermodynamic properties of the Meyers-Perry black holes with three spins.
doi:10.1007/jhep04(2015)115 fatcat:ibyp226ubnfsbaa2nara5lbnmm