Geometric Description of the Thermodynamics of the Noncommutative Schwarzschild Black Hole

Figure 2

(a) Characteristic behaviour of the heat capacity as a function of the entropy 𝑆. The divergence indicates the point of a phase transition. (b) Behaviour of the thermodynamic curvature scalar 𝑅 as a function of the entropy 𝑆. The singularity is located at the point of the phase transition. In both figures, the noncommutativity parameter is set to 𝜃=0.5.

(a)

(b)