Dynamic Behaviours of Black Hole Phase Transitions Near Quadruple Points

Abstract

Over the past five decades, noteworthy progress has been made in black hole thermodynamics. Here we carry out the first investigation of the dynamics of the recently discovered multicriticality in black holes. We specifically consider black hole quadruple points in D = 4 Einstein gravity coupled to non-linear electrodynamics. We observe thermodynamic phase transitions between the four stable phases at a quadruple point as well as weak and strong oscillatory phenomena by numerically solving the Smoluchowski equation describing the evolution of the probability distribution function. We analyze the dynamic evolution of the different phases at various ensemble temperatures and find that the probability distribution of a final stationary state is closely tied to the structure of its off-shell Gibbs free energy.

About the Speaker

Miss YANG Jiayue is currently a PhD student in Applied Math at the University of Waterloo, Canada. She graduated with a Bachelor's degree in Physics from the Tang Aoqing Honors Program at Jilin University, China, receiving the Dean's Scholarship. She completed her Master's in the Department of Physics and Astronomy at the University of Waterloo. Her research interests include high-energy physics and gravitational physics, with a focus on black hole thermodynamics, quantum information, and holography. She is also passionate about teaching and science outreach, with over 10,000 followers on her Bilibili channel. 

About the Program

For more information, please refer to the program website at http://iasprogram.ust.hk/particle_theory.

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