论文标题
在阻尼不足的无谐随机振荡器中的非线性摩擦
Nonlinear friction in underdamped anharmonic stochastic oscillators
论文作者
论文摘要
由Lévy噪声驱动的过度阻尼过度阻尼过度阻尼的非谐波随机振荡器的固定状态通常是多模式的。对于带线性摩擦的单孔电势中的Lévy噪声驱动的运动，记录了同样的情况。在当前的手稿中，我们放松了粒子经历的摩擦是线性的假设。使用计算机模拟，我们研究了非线性摩擦制度中单孔电势中阻尼不平的运动。我们证明，在速度分布中观察多模式是相对容易的，因为它是由摩擦本身决定的，并且与过度阻尼的情况下的多模式相同，并具有类似的确定性力。与速度边缘密度相反，在该位置产生多模态更为困难。然而，对于微调的非线性摩擦，可以记录空间多模式。
Stationary states of overdamped anharmonic stochastic oscillators driven by Lévy noise are typically multimodal. The very same situation is recorded for an underdamped Lévy noise driven motion in single-well potentials with linear friction. Within current manuscript we relax the assumption that the friction experienced by a particle is linear. Using computer simulations, we study underdamped motion in single-well potentials in the regime of nonlinear friction. We demonstrate that it is relatively easy to observe multimodality in the velocity distribution as it is determined by the friction itself and it is the same as the multimodality in the overdamped case with the analogous deterministic force. Contrary to the velocity marginal density, it is more difficult to produce multimodality in the position. Nevertheless, for fine-tuned nonlinear friction, the spatial multimodality can be recorded.
