非相干黑洞中的普适扩散
Universal Diffusion in Incoherent Black Holes
摘要：
我们研究了平移对称性破缺的简单全息理论中的电荷和能量扩散。我们发现，当动量弛豫效应很强时，扩散常数取普适值$D_{c} \sim D_{e} \sim \hbar v_B^2/(k_B T)$。这里$v_B$是蝴蝶效应的速度，比例系数仅取决于红外固定点的标度指数。我们的结果表明，在这些不相干黑洞的扩散控制的$τ\sim {\hbar}/(k_B T)$独立的动量弛豫机制。
英文摘要：
We study charge and energy diffusion in simple holographic theories with broken translational symmetry. We find that when the effects of momentum relaxation are very strong the diffusion constants take universal values $D_{c} \sim D_{e} \sim \hbar v_B^2/(k_B T)$. Here $v_B$ is the velocity of the butterfly effect and the coefficients of proportionality depend only on the scaling exponents of the infra-red fixed point. Our results suggest that diffusion in these incoherent black holes is controlled by $τ\sim {\hbar}/(k_B T)$ independently of the mechanism of momentum relaxation.
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。
