Long time behaviour of a local perturbation in the isotropic XY chain under periodic forcing

Periodic Driving at High Frequencies of an Impurity in the Isotropic XY Chain

We study the isotropic XY chain with a transverse magnetic field acting on a single site and analyse the long time behaviour of the time-dependent state of the system when a periodic perturbation drives the impurity. We find that for high frequencies the state approaches a periodic orbit synchronised with the forcing and provide the explicit rate of convergence to the asymptotics.

Isotropic-nematic behaviour of hard rigid rods: a percolation theoretic approach

Needles at different orientations are placed in an i.i.d. manner at points of a Poisson point process on $\mathbb R^2$ of density $λ$. Needles at the same direction have the same length, while needles at different directions maybe of different lengths. We study the geometry of a finite cluster when needles have only two possible orientations and when needles have only three possible orientations. In both these cases the asymptotic shape of the finite cluster as $λ\to \infty$ is shown to consists of needles only in two directions. In the two orientations case the shape does not depend on the or…

强迫均匀各向同性湍流的单松弛时间与多重修正矩阵格子Boltzmann模拟

Single Relaxation Time and Multiple Revised Matrix Lattice Boltzmann Simulations of Forced Isotropic Turbulence

本文在128^3和256^3三维强迫各向同性湍流中比较SRT与RM/MRT格子Boltzmann模型，结合Guo强迫和CFL稳定处理，评估湍流统计量与不可压缩性。

非绝热随机共振驻留时间分布的普适性

Universality of residence-time distributions in non-adiabatic stochastic resonance

我们提出了严格的数学表达式的驻留时间和首次通过时间分布的周期性受迫布朗粒子的势。对于一个广泛的强迫频率和振幅，分布接近周期性调制的指数。值得注意的是，周期性调制是由通用功能，取决于一个单一的参数有关的强迫周期。的分布和他们的时刻的行为进行了分析，特别是在低和高频率的限制。