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PreprintCC BY 4.0arXiv

Iso-μ/T holographic entropy and its attractor for a strongly coupled quantum fluid

Abstract

Numerical evidence has shown that a period of vanishing entropy production during far-from-equilibrium stages induces subsequent violations of the dominant energy condition in strongly coupled plasmas. This behavior also appears to hold for a Bjorken-expanding, hot and dense strongly coupled quantum fluid. In this context, it has been established that the chemical potential-to-temperature ratio (μ/T) in the medium increases with higher initial charge density, ρ0, and/or lower initial energy density, ε0. Here, we present a numerical method to evolve Bjorken R-charged plasmas by varying (ε0,ρ0) in order to generate a curve that preserves a constant μ/T. This allows us to address the case in which all Bekenstein-Hawking entropy densities evolve towards configurations with the same μ/T. This approach enables a more direct comparison with the 𝒩=4 SYM plasma case (μ/T=0) and, consequently, provides clearer evidence of the correlation between entropy production and violations of the dominant energy condition. Moreover, this procedure offers a characterization (albeit numerical and partial) of the iso−μ/T entropy density hydrodynamic attractor for hot and dense strongly coupled quantum fluids.

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BibTeX
@misc{barreto2026isoμt,
  title = {{Iso-$μ/T$ holographic entropy and its attractor for a strongly coupled quantum fluid}},
  author = {W. Barreto},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00558},
  eprint = {2609.00558},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00558},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Iso-μ/T holographic entropy and its attractor for a strongly coupled quantum fluid
AU  - W. Barreto
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00558
UR  - https://arxiv.org/abs/2609.00558
AB  - Numerical evidence has shown that a period of vanishing entropy production during far-from-equilibrium stages induces subsequent violations of the dominant energy condition in strongly coupled plasmas. This behavior also appears to hold for a Bjorken-expanding, hot and dense strongly coupled quantum fluid. In this context, it has been established that the chemical potential-to-temperature ratio (μ/T) in the medium increases with higher initial charge density, ρ_0, and/or lower initial energy density, ε_0. Here, we present a numerical method to evolve Bjorken R-charged plasmas by varying (ε_0,ρ_0) in order to generate a curve that preserves a constant μ/T. This allows us to address the case in which all Bekenstein-Hawking entropy densities evolve towards configurations with the same μ/T. This approach enables a more direct comparison with the 𝒩=4 SYM plasma case (μ/T=0) and, consequently, provides clearer evidence of the correlation between entropy production and violations of the dominant energy condition. Moreover, this procedure offers a characterization (albeit numerical and partial) of the iso−μ/T entropy density hydrodynamic attractor for hot and dense strongly coupled quantum fluids.
ER  -