标题： 带有倾斜周期势的Langevin动力学 显示英文标题

标题： Langevin dynamics with a tilted periodic potential

摘要： 我们研究一个粒子在存在粘度$\gamma$的周期势中运动的朗之万方程，并受到进一步的外场$\alpha$的作用。 对于参数$\alpha$和$\gamma$的适当选择，相关的确定性动力学会产生异宿轨道。 在这种情况下，没有随机噪声时，受限轨道和无限轨道共存。 我们证明，包含任意小的噪声时，只有受限轨道在次指数时间尺度内仍然存在。 显示英文摘要

摘要： We study a Langevin equation for a particle moving in a periodic potential in the presence of viscosity $\gamma$ and subject to a further external field $\alpha$. For a suitable choice of the parameters $\alpha$ and $\gamma$ the related deterministic dynamics yields heteroclinic orbits. In such a regime, in absence of stochastic noise both confined and unbounded orbits coexist. We prove that, with the inclusion of an arbitrarly small noise only the confined orbits survive in a sub-exponential time scale.