Abstract
The P-V phase transition of the FRW (Friedmann-Robertson-Walker) universe with a perfect fluid has recently been investigated, revealing that the four critical exponents near the critical point are consistent with the values predicted by mean field theory. Notably, the coexistence phase of the P-V phase transition in the FRW universe above the critical temperature, which distinguishes it from van der Waals system and most of AdS black holes system. This unique property allows us to investigate the microstructure of the FRW universe as a thermodynamic system. Our analysis of the Ruppeiner geometry for the FRW universe reveals that the behavior of the thermodynamic scalar curvature near criticality is characterized by a dimensionless constant identical to that of the van der Waals fluid. Additionally, we observe that while repulsive interactions dominate for the coexistence samll phase with higher temperature, the scalar curvature for the coexistence large phase is always negative, indicating attractive interactions, providing new insights into the nature of interactions among the perfect fluid matter constituents in the expanding FRW universe.
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Acknowledgments
I express my gratitude to the anonymous referee for the careful review of this work and his/her valuable comments, which has led to a significant improvement in the quality of my manuscript. I would like to thank Prof. Ya-Peng Hu and Dr. Shi-Bei Kong for their helpful discussions. I would also like to express my gratitude to my family for their selfless support and care, love and understanding, which has enabled me to devote my full attention to my research and academic pursuits.
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Abdusattar, H. Insight into the Microstructure of FRW Universe from a P-V Phase Transition. J. High Energ. Phys. 2023, 147 (2023). https://doi.org/10.1007/JHEP09(2023)147
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DOI: https://doi.org/10.1007/JHEP09(2023)147