Effective temperature in steady-state dynamics from holography
Effective temperature in steady-state dynamics from holography
复制标题
全息稳态动力学中的有效温度
DOI：
--
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
A. Kundu
中科院分区：
文献类型：
--
作者：
A. Kundu
摘要我们认为，在规范重力二元性的范围内，对于一大类处于稳态的系统，存在有效的热力学描述。该描述配备了有效温度和自由能，但没有明确定义的熵概念。此类系统通过在更大的背景中传播的探测自由度来描述，例如N=2$$ mathcal{N}=2 $$ 超多重数在 N=4$$ mathcal{N}=4 $$ SU(Nc) 超杨-米尔斯理论中的 Nf 个，在极限 Nf ≪ Nc 下。稳态是通过激励与超多重态耦合并驱动恒定电流的外部电场而引起的。通过各种弦的例子，我们证明了开弦等效原理确定了探针扇区中所有波动的唯一有效温度。我们进一步讨论相应的开弦度量的各种属性，这些属性决定了探针自由度耦合到的有效几何形状。我们还评论了非阿贝尔推广，其中有效温度取决于波动模式的相应部分。
A bstractWe argue that, within the realm of gauge-gravity duality, for a large class of systems in a steady-state there exists an effective thermodynamic description. This description comes equipped with an effective temperature and a free energy, but no well-defined notion of entropy. Such systems are described by probe degrees of freedom propagating in a much larger background, e.g. Nf number of N=2$$ mathcal{N}=2 $$ hypermultiplets in N=4$$ mathcal{N}=4 $$ SU(Nc) super Yang-Mills theory, in the limit Nf ≪ Nc. The steady-state is induced by exciting an external electric field that couples to the hypermultiplets and drives a constant current. With various stringy examples, we demonstrate that an open string equivalence principle determines an unique effective temperature for all fluctuations in the probe-sector. We further discuss various properties of the corresponding open string metric that determines the effective geometry which the probe degrees of freedom are coupled to. We also comment on the non-Abelian generalization, where the effective temperature depends on the corresponding sector of the fluctuation modes.
影响因子：
8.6
作者：
J. Sonner;A. Green
通讯作者：
J. Sonner;A. Green