论文标题
与热力学第二定律一致的大膜的一般理论
General Theory of Large D Membranes Consistent with Second Law of Thermodynamics
论文作者
论文摘要
我们为一般的重力理论列出了最通用的膜方程双孔至黑洞，以$ 1/d $ $ d $限制为$ 1/d $的子领先顺序。我们得出了“最小”熵电流，该电流满足了这些膜方程的局部第二定律形式。我们发现，与第二定律的一致性需要膜方程来满足某些约束。我们发现，膜溶液的存在双重到固定的黑洞，对膜方程的其他约束。最后，我们观察到第二定律之间的张力，并与Wald熵匹配，以使双固定的黑洞配置，对于最小的熵电流。我们提出了对膜熵电流的简单修改，以使其满足第二定律，并且固定膜熵与Wald熵匹配。
We write down the most general membrane equations dual to black holes for a general class of gravity theories, up to sub-leading order in $1/D$ in large $D$ limit. We derive a "minimal" entropy current which satisfies a local form of second law from these membrane equations. We find that consistency with second law requires the membrane equations to satisfy certain constraints. We find additional constraints on the membrane equations from the existence of membrane solutions dual to stationary black holes. Finally we observe a tension between second law and matching with Wald entropy for dual stationary black hole configurations, for the minimal entropy current. We propose a simple modification of the membrane entropy current so that it satisfies second law and also the stationary membrane entropy matches the Wald entropy.
