Phase Transitions and Critical Phenomena for the FRW Universe in an Effective Scalar-Tensor Theory
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915515042103296 |
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| author | Abdusattar, Haximjan Kong, Shi-Bei Zhang, Hongsheng Hu, Ya-Peng |
| author_facet | Abdusattar, Haximjan Kong, Shi-Bei Zhang, Hongsheng Hu, Ya-Peng |
| contents | We find phase transitions and critical phenomena of the FRW (Friedmann-Robertson-Walker) universe in the framework of an effective scalar-tensor theory that belongs to the Horndeski class. We identify the thermodynamic pressure (generalized force) $P$ of the FRW universe in this theory with the work density $W$ of the perfect fluid, which is a natural definition directly read out from the first law of thermodynamics. We derive the thermodynamic equation of state $P=P(V, T)$ for the FRW universe in this theory and make a thorough discussion of its $P$-$V$ phase transitions and critical phenomena. We calculate the critical exponents, and show that they are the same with the mean field theory, and thus obey the scaling laws. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_01938 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Phase Transitions and Critical Phenomena for the FRW Universe in an Effective Scalar-Tensor Theory Abdusattar, Haximjan Kong, Shi-Bei Zhang, Hongsheng Hu, Ya-Peng General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory We find phase transitions and critical phenomena of the FRW (Friedmann-Robertson-Walker) universe in the framework of an effective scalar-tensor theory that belongs to the Horndeski class. We identify the thermodynamic pressure (generalized force) $P$ of the FRW universe in this theory with the work density $W$ of the perfect fluid, which is a natural definition directly read out from the first law of thermodynamics. We derive the thermodynamic equation of state $P=P(V, T)$ for the FRW universe in this theory and make a thorough discussion of its $P$-$V$ phase transitions and critical phenomena. We calculate the critical exponents, and show that they are the same with the mean field theory, and thus obey the scaling laws. |
| title | Phase Transitions and Critical Phenomena for the FRW Universe in an Effective Scalar-Tensor Theory |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2301.01938 |