Probabilistic evolution of black hole thermodynamic states via Fokker–Planck equation.
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| Title: | Probabilistic evolution of black hole thermodynamic states via Fokker–Planck equation. |
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| Authors: | Wang, Chao1 (AUTHOR), Ma, Chen2 (AUTHOR), He, Meng-Ci1 (AUTHOR), Wu, Bin2,3,4,5 (AUTHOR) binwu@nwu.edu.cn |
| Source: | European Physical Journal C -- Particles & Fields. Jun2026, Vol. 86 Issue 6, p1-11. 11p. |
| Subjects: | Fokker-Planck equation, Phase transitions, Black holes, Energy dissipation, Entropy, Nonequilibrium thermodynamics, Gibbs' energy diagram |
| Abstract: | Employing the generalized free energy landscape and solving the associated Fokker–Planck equation, we obtain the time-dependent probability evolution of the order parameter for the RN-AdS black hole phase transitions. Our analysis reveals two distinct kinetic regimes, namely relaxation dynamics initialized at the unstable maximum and phase transition from the metastable state. Furthermore, we characterize the non-equilibrium irreversibility and macroscopic uncertainty using the entropy production rate and the Shannon entropy. The results demonstrate that the phase transition synchronizes exactly with a prominent peak in the entropy production rate, identifying the barrier crossing event as a process fundamentally driven by maximum thermodynamic dissipation. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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