论文标题
准模式的熵产生
Entropy production from quasinormal modes
论文作者
论文摘要
黑麸皮的视野具有非负差异的相关熵电流。我们计算在延迟的跨系列扩展中的这种差异，以使不均匀的系统朝向最大对称的渐近抗DE保姆黑色brane。地平线区域在由主要的准绝模式设置的时间尺度上平衡，我们发现该进化的简单分析表达纯粹是基于背景和准模式频率。该计算不需要梯度扩展，因此在动量中是非扰动的。我们将其概括为在任何数量的维度中都包含标量和量规字段。限制在均匀的演化中，我们匹配并证明了早期的数值工作表明，明显的地平线熵使该区域定理饱和，因为它的时间导数会定期消失。球形对称的进化也是如此。
Horizons of black branes have an associated entropy current with non-negative divergence. We compute this divergence in a late-time transseries expansion for an inhomogeneous system evolving towards a maximally symmetric asymptotically anti-de Sitter black brane. The horizon area equilibrates on half the time-scale set by the dominant quasinormal mode and we find a simple analytic expression for this evolution purely in terms of the background and the quasinormal mode frequencies. This computation does not require a gradient expansion and is thus non-perturbative in momenta. We generalize this to include scalar and gauge field matter in any number of dimensions. Restricting to homogeneous evolution we match and prove earlier numerical work showing that the apparent horizon entropy saturates the area theorem, in that its time derivative periodically vanishes. The same is true for spherically symmetric evolution towards the Schwarzschild black hole.
