Sonic velocity in holographic fluids and its applications

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英文篇名：Sonic velocity in holographic fluids and its applications 作者：胡亚鹏 ; 田雨 ; 吴小宁 ; 李怀繁 ; 张宏升 英文作者：Yapeng Hu;Yu Tian;Xiaoning Wu;Huaifan Li;Hongsheng Zhang;College of Science,Nanjing University of Aeronautics and Astronautics;Instituut-Lorentz for Theoretical Physics,Leiden University;Key Laboratory of Theoretical Physics,Institute of Theoretical Physics,Chinese Academy of Sciences;School of Physics, University of Chinese Academy of Sciences;Institute of Mathematics, Academy of Mathematics and System Science,Chinese Academy of Sciences;Hua Loo-Keng Key Laboratory of Mathematics, CAS;Institute of Theoretical Physics, Department of Physics, Shanxi Datong University;School of Physics and Technology, University of Jinan; 英文关键词：gravity/fluid correspondence;;boundary condition;;bulk viscosity;;sonic velocity 中文刊名：KNWL 英文刊名：中国物理C 机构：College of Science,Nanjing University of Aeronautics and Astronautics;Instituut-Lorentz for Theoretical Physics,Leiden University;Key Laboratory of Theoretical Physics,Institute of Theoretical Physics,Chinese Academy of Sciences;School of Physics, University of Chinese Academy of Sciences;Institute of Mathematics, Academy of Mathematics and System Science,Chinese Academy of Sciences;Hua Loo-Keng Key Laboratory of Mathematics, CAS;Institute of Theoretical Physics, Department of Physics, Shanxi Datong University;School of Physics and Technology, University of Jinan; 出版日期：2019-01-15 出版单位：Chinese Physics C 年：2019 期：v.43 基金：Supported by National Natural Science Foundation of China(NSFC)(11575083,11565017,11105004);; the Fundamental Research Funds for the Central Universities(NS2015073);; Shanghai Key Laboratory of Particle Physics and Cosmology(11DZ2260700);; the Open Project Program of State Key Laboratory of Theoretical Physics,Institute of Theoretical Physics,Chinese Academy of Sciences,China(Y5KF161CJ1);; supported partially by grants from NSFC(10821504,10975168,11035008);(11205097,11175245,11075206,11275128);; the Ministry of Science and Technology of China(2010CB833004);; the Program for the Innovative Talents of Higher Learning Institutions of Shanxi,the Natural Science Foundation for Young Scientists of Shanxi Province,China(2012021003-4);; the Program for Professor of Special Appointment(Eastern Scholar)at Shanghai Institutions of Higher Learning;; Support from the Sino-Dutch Scholarship program under the CSC Scholarship 语种：英文; 页：KNWL201901008 页数：10 CN：01 ISSN：11-5641/O4 分类号：69-78

摘要

Gravity/fluid correspondence acts as an important tool in investigating the strongly correlated fluids.We carefully investigate the holographic fluids at the finite cutoff surface by considering different boundary conditions in the scenario of gravity/fluid correspondence. We find that the sonic velocity of the boundary fluids at the finite cutoff surface is critical in clarifying the superficial similarity between the bulk viscosity and perturbation of the pressure for the holographic fluid, where we set a special boundary condition at the finite cutoff surface to explicitly express this superficial similarity. Moreover, we further take the sonic velocity into account to investigate a case with a more general boundary condition. In this more genaral case, although two parameters in the first order stress tensor of holographic fluid cannot be fixed, one can still extract the information about the transport coefficients by considering the sonic velocity seriously.
        Gravity/fluid correspondence acts as an important tool in investigating the strongly correlated fluids.We carefully investigate the holographic fluids at the finite cutoff surface by considering different boundary conditions in the scenario of gravity/fluid correspondence. We find that the sonic velocity of the boundary fluids at the finite cutoff surface is critical in clarifying the superficial similarity between the bulk viscosity and perturbation of the pressure for the holographic fluid, where we set a special boundary condition at the finite cutoff surface to explicitly express this superficial similarity. Moreover, we further take the sonic velocity into account to investigate a case with a more general boundary condition. In this more genaral case, although two parameters in the first order stress tensor of holographic fluid cannot be fixed, one can still extract the information about the transport coefficients by considering the sonic velocity seriously.

引文

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