Hi everyone! 👋
I’m studying the thermodynamic properties of black holes and how quantities like temperature, entropy, and pressure behave near critical points.
Does anybody know what models or approaches are best for analyzing phase transitions and stability in black hole thermodynamics?
I’ve read about the analogy with standard thermodynamic systems, but I’m still not sure how to interpret the results in an extended phase space.
Any advice or recommended papers would be greatly appreciated. Thanks in advance! 🙏

That’s a really interesting area — black hole thermodynamics shows how gravity and heat laws connect.

When studying phase transitions, researchers look at how temperature, pressure, and entropy change, similar to normal materials. The extended phase space helps see these changes more clearly and understand when the system becomes unstable.

This direction has good potential — it helps us get closer to understanding the microscopic nature of gravity and the link between thermodynamics and spacetime.

22 minutes ago, Sagira Mamatova said:

Hi everyone! 👋
I’m studying the thermodynamic properties of black holes and how quantities like temperature, entropy, and pressure behave near critical points.
Does anybody know what models or approaches are best for analyzing phase transitions and stability in black hole thermodynamics?
I’ve read about the analogy with standard thermodynamic systems, but I’m still not sure how to interpret the results in an extended phase space.
Any advice or recommended papers would be greatly appreciated. Thanks in advance! 🙏

Hi! 👋
I’m studying the thermodynamic properties of black holes — like temperature, entropy, and pressure — especially near critical points.

From what I’ve learned, many researchers treat the cosmological constant as pressure and study black holes in an extended phase space. This lets you use ideas similar to normal thermodynamics (like the Van der Waals gas) to analyze phase transitions.

The usual approach is to look at the equation of state P=P(T,r+)P = P(T, r_+)P=P(T,r+), find critical points where
∂P/∂v=∂2P/∂v2=0,
and then study Gibbs free energy to see which phase is stable.

For simple examples, the Reissner–Nordström–AdS black hole is often used — it shows small/large black hole transitions, similar to liquid–gas ones.

If you want to read more, I’d recommend:

• Kubizňák & Mann (2012) – P–V criticality of charged AdS black holes

• Dolan (2011) – Pressure and volume in the first law of black hole thermodynamics

40 minutes ago, Sagira Mamatova said:

Hi everyone! 👋
I’m studying the thermodynamic properties of black holes and how quantities like temperature, entropy, and pressure behave near critical points.
Does anybody know what models or approaches are best for analyzing phase transitions and stability in black hole thermodynamics?
I’ve read about the analogy with standard thermodynamic systems, but I’m still not sure how to interpret the results in an extended phase space.
Any advice or recommended papers would be greatly appreciated. Thanks in advance! 🙏

That’s a great topic! You might look into the van der Waals analogy and use Gibbs free energy analysis — it’s often applied to study black hole phase transitions.👌

I haven’t done research on this, but I’ve seen some studies using the Van der Waals analogy and the extended phase space approach.

It’s fascinating how black holes show similar critical behavior to real fluids!

That’s a fascinating topic! You might want to look into the Van der Waals–like approach to black hole thermodynamics — it’s widely used to study phase transitions and critical behavior, especially in AdS black holes.

In the extended phase space, the cosmological constant is treated as a thermodynamic pressure, and the black hole mass corresponds to enthalpy. Analyzing the P–VP–VP–V or T–ST–ST–S diagrams can reveal first- and second-order phase transitions similar to real fluids.

You could start with Kubizňák & Mann (2012), “P–V criticality of charged AdS black holes”, which is a key reference. It provides a solid framework for interpreting stability and criticality in this context.

8 hours ago, Sagira Mamatova said:

Hi everyone! 👋
I’m studying the thermodynamic properties of black holes and how quantities like temperature, entropy, and pressure behave near critical points.

7 hours ago, Sayora said:

Hi! 👋
I’m studying the thermodynamic properties of black holes — like temperature, entropy, and pressure — especially near critical points.

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