论文标题
宏观弱不可整合地图的热化动力学
Thermalization dynamics of macroscopic weakly nonintegrable maps
论文作者
论文摘要
我们研究弱不可融合的非线性统一晶格动力学的热化。我们确定了两个不同的热化态度，接近线性动力学或断开晶格动力学的可集成极限。对于弱非线性，几乎保守的动作对应于耦合到远程网络中的扩展可观测值。对于弱连接的晶格，相应的局部观测值耦合到一个短范围网络中。我们计算了扩展和局部可观察物的有限时间平均分布的方差$σ^2（t）$的演变。我们提取构造时间尺度$ t_e $，它标志着热化的开始，并通过随后的衰减$σ^2（t）$确定网络的类型。我们使用Lyapunov Spectra的互补分析[M. Malishava和S. Flach，物理学。莱特牧师。 128，134102（2022）]并将lyapunov时间$t_λ$与$ t_e $进行比较。我们表征了切线矢量的空间特性，并得出了弱不可构成的宏观热化动力学的完整分类图。
We study thermalization of weakly nonintegrable nonlinear unitary lattice dynamics. We identify two distinct thermalization regimes close to the integrable limits of either linear dynamics or disconnected lattice dynamics. For weak nonlinearity the almost conserved actions correspond to extended observables which are coupled into a long-range network. For weakly connected lattices the corresponding local observables are coupled into a short-range network. We compute the evolution of the variance $σ^2(T)$ of finite time average distributions for extended and local observables. We extract the ergodization time scale $T_E$ which marks the onset of thermalization, and determine the type of network through the subsequent decay of $σ^2(T)$. We use the complementary analysis of Lyapunov spectra [M. Malishava and S. Flach, Phys. Rev. Lett. 128, 134102 (2022)] and compare the Lyapunov time $T_Λ$ with $T_E$. We characterize the spatial properties of the tangent vector and arrive at a complete classification picture of weakly nonintegrable macroscopic thermalization dynamics.
