动力学薄壳虫洞的随机热力学：有效温度、涨落与条件性准视界统一
Stochastic Thermodynamics of Dynamical Thin-Shell Wormholes: Effective Temperatures, Fluctuations and Conditional Quasi-Horizon Unification
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中文总结 AI 辅助
本文为动力学薄壳虫洞建立随机半经典框架，通过过阻尼近似和本构斜率闭合响应，揭示稳定性下界与条件性三温度对应关系。
中文摘要 AI 辅助
我们为连接两个渐近时空区域的动力学薄壳虫洞建立了一个有效的随机和半经典框架。Israel 结几何与现象学的开放系统描述相分离：随机动力学在径向相空间 $(a,\dot a)$ 中表述，而 $\sigma$、$P$ 和有效温度标度是诱导可观测量。仅在进行显式的过阻尼/绝热近似后，才获得一维 Langevin--Fokker--Planck 模型。仅在额外的 KMS 和细致平衡假设下，局部加速度标度才被解释为储层温度。对于对称的 Schwarzschild--Schwarzschild 虫洞，透明的保守壳层定义了参考势和恢复频率，而耗散和噪声则作为开放系统修正引入。稳定的线性响应由本构斜率 $\beta_0^2=(dP/d\sigma)_0$ 闭合。对于 $2M<a_0<3M$，稳定性要求 $\beta_0^2$ 存在下界，该下界在 $a_0\to2M^+$ 时发散。此外，沿静态构型族的导数等于边际稳定性斜率，不能与稳定随机壳层的本构导数等同。简化模型确定了稳态分布、涨落、关联、马尔可夫和非马尔可夫谱以及熵产生。在视界附近，结条件给出 $T_{\rm stress}=T_{\rm acc}+O(\hbar\gamma/a)$，在特定主导条件下，首阶相等。仅当射线追踪映射满足广义 Unruh/剥离和绝热条件时，剥离温度才参与。因此，三温度对应是有条件的，而随机系数在微观壳层-储层模型出现之前仍是现象学的。
英文摘要
We develop an effective stochastic and semiclassical framework for dynamical thin-shell wormholes connecting two asymptotic spacetime regions. The Israel junction geometry is separated from the phenomenological open-system description: stochastic dynamics is formulated in the radial phase space $(a,\dot a)$, whereas $σ$, $P$, and the effective temperature scales are induced observables. A one-dimensional Langevin--Fokker--Planck model is obtained only after an explicit overdamped/adiabatic approximation. Local acceleration scales are interpreted as reservoir temperatures only under additional KMS and detailed-balance assumptions. For a symmetric Schwarzschild--Schwarzschild wormhole, the transparent conservative shell defines the reference potential and restoring frequency, while dissipation and noise are introduced as open-system corrections. The stable linear response is closed by the constitutive slope $β_0^2=(dP/dσ)_0$. For $2M<a_0<3M$, stability requires a lower bound on $β_0^2$ that diverges as $a_0\to2M^+$. Moreover, the derivative along the family of static configurations equals the marginal-stability slope and must not be identified with the constitutive derivative of a stable stochastic shell. The reduced model determines stationary distributions, fluctuations, correlations, Markovian and non-Markovian spectra, and entropy production. Near the horizon, the junction conditions yield $T_{\rm stress}=T_{\rm acc}+O(\hbarγ/a)$, with equality at leading order under a specified dominance condition. A peeling temperature participates only if the ray-tracing map satisfies generalized Unruh/peeling and adiabaticity conditions. Thus, the three-temperature correspondence is conditional, while the stochastic coefficients remain phenomenological pending a microscopic shell--reservoir model.
发表机构
- Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de Lisboa（里斯本大学科学学院空间科学与天体物理研究所）
- Departamento de Física, Faculdade de Ciências da Universidade de Lisboa（里斯本大学科学学院物理系）
- Faculdade de Física, Programa de Pós-Graduação em Física, Universidade Federal do Pará（帕拉联邦大学物理学院物理学研究生项目）
- Faculdade de Ciências Exatas e Tecnologia, Universidade Federal do Pará（帕拉联邦大学精确科学与技术学院）
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