论文标题
霍金 - 页面过渡的动力学，具有非马克维亚效应
Kinetics of Hawking-Page phase transition with the non-Markovian effects
论文作者
论文摘要
基于霍金 - 页面过渡的自由能景观描述，从施瓦茨柴尔兹（Schwarzschild-anti-de）安慰剂黑洞到热抗DE安静空间的过渡过程被认为是在热波动下的随机性。如果有效热浴的相关时间比在自由能景观上的潜在孔中的时空状态的振荡时间相当甚至更长，则需要黑洞相变的非马克维亚模型来研究过渡过程的动力学。非马多维亚或记忆效应由时间依赖的摩擦核表示，然后动力学由自由能潜能补充的广义langevin方程来控制。作为具体示例，我们研究了指数衰减摩擦内核和振荡摩擦内核对霍金 - 页面过渡动力学的影响。对于指数衰减的摩擦，非马克维亚效应促进了过渡过程，对于振荡摩擦，增加振荡频率也加快了过渡过程。
Based on the free energy landscape description of Hawking-Page phase transition, the transition process from the Schwarzschild-anti-de Sitter black hole to the thermal anti-de Sitter space are considered to be stochastic under the thermal fluctuations. If the correlation time of the effective thermal bath is comparable or even longer than the oscillating time of the spacetime state in the potential well on the free energy landscape, the non-Markovian model of the black hole phase transition is required to study the kinetics of the transition processes. The non-Markovian or memory effect is represented by the time dependent friction kernel and the kinetics is then governed by the generalized Langevin equation complemented by the free energy potential. As the concrete examples, we study the effects of the exponentially decay friction kernel and the oscillatory friction kernel on the kinetics of Hawking-Page phase transition. For the exponentially decayed friction, the non-Markovian effects promote the transition process, and for the oscillatory friction, increasing the oscillating frequency also speeds up the transition process.
