论文标题
动态相变理论
Dynamic phase transition theory
论文作者
论文摘要
热力学惯例遭受了描述动态区别的影响,尤其是当局部稀有事件引起的结构和能量变化无关紧要时。通过在轨迹空间中使用集合理论,我们提出了一种解决此问题的统计方法。与空间粒子粒子相互作用相比,主导热力学的空间粒子相互作用,事件的时间相关性主导了动力学。动态分区函数的零在时空中(即动态相变(DPT))的零,因为杨和李提出传统的相变,因此确定了零两侧的动态阶段。类似于温度(压力)作为热(机械)电势的作用,我们将DPT的控制变量(即动态场)解释为动力电位。这些发现为相位和相变的统一图片提供了可能性。
Thermodynamic conventions suffer from describing dynamical distinctions, especially when the structural and energetic changes induced by localized rare events are insignificant. By using the ensemble theory in the trajectory space, we present a statistical approach to address this problem.Rather than spatial particle-particle interaction which dominates thermodynamics, the temporal correlation of events dominates the dynamics. The zeros of dynamic partition function mark phase transitions in the space-time, i.e. dynamic phase transition (DPT), as Yang and Lee formulate traditional phase transitions, and hence determine dynamic phases on both sides of the zeros. Analogous to the role of temperature (pressure) as thermal (mechanical) potential, we interpret the controlling variable of DPT, i.e. dynamic field, as the dynamical potential. These findings offer possibility towards a unified picture of phase and phase transition.