论文标题
部分可观测时空混沌系统的无模型预测
Mechanical analysis of a dynamical phase transition for particles in a channel
论文作者
论文摘要
我们分析了二维颗粒系统的轨迹偏差集合，并通过通道几何形状中的langevin动力学演变。这种偏见控制了粒子聚类的程度。在偏向大聚类时，我们观察到一个动力学相变，其中颗粒折断对称性并在其中一个壁上积聚。我们使用Irving-Kirkwood应力张量分析了这种对称性状态的机械性能。偏见的合奏的特征是身体力的特征，其起源于随机热噪声，但在存在偏见的情况下具有有限的平均值。我们讨论了这些力量与DOOB的转型和最佳控制理论的联系。
We analyse biased ensembles of trajectories for a two-dimensional system of particles, evolving by Langevin dynamics in a channel geometry. This bias controls the degree of particle clustering. On biasing to large clustering, we observe a dynamical phase transition where the particles break symmetry and accumulate at one of the walls. We analyse the mechanical properties of this symmetry-broken state using the Irving-Kirkwood stress tensor. The biased ensemble is characterised by body forces which originate in random thermal noises, but have finite averages in the presence of the bias. We discuss the connection of these forces to Doob's transform and optimal control theory.
