摘要
We study dynamical holographic systems and the relation between thermodynamical and dynamical stability of such systems,using the conserved currents in the bulk spacetime.In particular,in the probe limit a generalized free energy is defined with the property of monotonic decreasing in dynamic processes.It is then shown that the(absolute)thermodynamical stability implies the dynamical stability,while the linear dynamical stability implies the thermodynamical(meta-)stability.The holographic superfluid is taken as an example to illustrate our general formalism,where the dynamic evolution of the system in contact with a particle source is clarified by theoretical investigation and numerical verification.The case going beyond the probe limit is also discussed.
作者
田雨
吴小宁
张宏宝
Yu Tian;Xiao-Ning Wu;Hongbao Zhang(School of Physical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China;Institute of Theoretical Physics,Chinese Academy of Sciences,Beijing 100190,China;Institute of Mathematics,Academy of Mathematics and System Science,Chinese Academy of Sciences,Beijing 100190,China;Hua Loo-Keng Key Laboratory of Mathematics,Chinese Academy of Sciences,Beijing 100190,China;Department of Physics,Beijing Normal University,Beijing 100875,China)
基金
partially supported by the National Natural Science Foundation of China(Grant Nos.11975235,12035016,12075026,12275350)
supported in part by the Belgian Federal Science Policy Office through the Interuniversity Attraction Pole P7/37
FWO-Vlaanderen(Grant No.G020714N)
the Vrije Universiteit Brussel through the Strategic Research Program“High-Energy Physics”
an individual FWO fellow supported(Grant No.12G3515N)。
