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强耦合量子流体的等μ/T全息熵及其吸引子

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

W. Barreto

arXiv 2609.00558首次发表:更新:

发表机构

Centro de Física, Instituto Venezolano de Investigaciones Científicas(委内瑞拉科学研究研究所物理中心)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

针对强耦合量子流体中熵产生与主能量条件违反的关联问题,提出数值方法生成恒定μ/T的演化曲线,实现与N=4 SYM等离子体的直接对比,并表征了等μ/T熵密度流体力学吸引子。

AI 中文摘要

数值证据表明,强耦合等离子体在远离平衡阶段出现的一段熵产生消失期,会引发后续的主能量条件违反。这种行为似乎也适用于Bjorken膨胀的高温高密强耦合量子流体。在此背景下,已有研究证实,介质中的化学势与温度之比(μ/T)会随初始电荷密度ρ₀升高和/或初始能量密度ε₀降低而增大。本文提出一种数值方法,通过改变(ε₀,ρ₀)演化Bjorken R荷等离子体,以生成一条保持μ/T恒定的曲线。这使我们能够研究所有Bekenstein-Hawking熵密度都向具有相同μ/T的构型演化的情况。该方法可与N=4 SYM等离子体情形(μ/T=0)进行更直接的比较,从而为熵产生与主能量条件违反之间的相关性提供更清晰的证据。此外,该过程还对高温高密强耦合量子流体的等μ/T熵密度流体力学吸引子给出了(尽管是数值且部分的)表征。

英文摘要

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, $\varepsilon_0$. Here, we present a numerical method to evolve Bjorken R-charged plasmas by varying $(\varepsilon_0,ρ_0)$ 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 $\mathcal{N}=4$ 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.

Comments7 pages, 11 figures

论文原文

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