Abstract
The Thermodynamic Geometry (TG) for a particular equation of state of a ferrofluid is studied. The R-crossing method of TG is applied to reproduce the coexistence curves related to the dense and diluted phases of the ferrofluid in the limits, zero magnetic field and infinite magnetic field. For both limits, each phase is modeled by a separate equation of state. The phase diagram of the fluid does not have a critical point but dense and dilute phases are clearly separated by coexistence curves. In the framework of TG, each phase is represented by a particular metric tensor and hence, two different curvature scalars are obtained. It is verified that the coexistence curves can be accurately reproduced with a modified version of the R-crossing method of TG, namely using the equality between the two curvatures corresponding to the two separated dense and diluted phases.
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