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arXiv 2104.08397hep-thcond-mat.stat-mechcond-mat.str-el
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有限温度和化学势下变形AdS全息模型的费米和玻色子涨落耗散定理

Fermionic and bosonic fluctuation-dissipation theorem from a deformed AdS holographic model at finite temperature and chemical potential

Nathan G. Caldeira, Eduardo Folco Capossoli, Carlos A. D. Zarro, Henrique Boschi-Filho

摘要:

在这项工作中,我们研究了在有限的温度和密度的变形反德西特(AdS)空间中的弦的波动和耗散。变形的AdS空间是Einstein-Maxwell-Dilaton作用量的带电黑洞解。在这种背景下,我们考虑到从指数变形的AdS空间的视界函数的反作用。从这个模型出发,计算了导纳,研究了温度和化学势对导纳的影响,计算了玻色子和费米子两种情况下的两点关联函数和均方位移,得到了短时和大时近似。对于长的时间,我们得到了一个亚扩散制度$\sim \log t$。结合导纳和关联函数的结果,我们检验了玻色子和费米子系统的涨落耗散定理。

英文摘要:

In this work we study fluctuations and dissipation of a string in a deformed anti-de Sitter (AdS) space at finite temperature and density. The deformed AdS space is a charged black hole solution of the Einstein-Maxwell-Dilaton action. In this background we take into account the backreaction on the horizon function from an exponential deformation of the AdS space. From this model we compute the admittance and study the influence of the temperature and the chemical potential on it. We calculate the two-point correlations functions, and the mean square displacement for bosonic and fermionic cases, from which we obtain the short and large time approximations. For the long time, we obtain a sub-diffusive regime $\sim \log t$. Combining the results from the admittance and the correlations functions we check the fluctuation-dissipation theorem for bosonic and fermionic systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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