We report on Brownian, yet non-Gaussian diffusion, in which the mean square displacement of the particle grows linearly with time, and the probability density for the particle spreading is Gaussian like, but the probability density for its position increments possesses an exponentially decaying tail. In contrast to recent works in this area, this behavior is not a consequence of either a space- or time-dependent diffusivity, but is induced by external nonthermal noise acting on the particle dwelling in a periodic potential. The existence of the exponential tail in the increment statistics leads to colossal enhancement of diffusion, drastically surpassing the previously researched situation known as “giant” diffusion. This colossal diffusion enhancement crucially impacts a broad spectrum of the first arrival problems, such as diffusion limited reactions governing transport in living cells.

中文翻译：

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非平衡噪声引起的巨大布朗但非高斯扩散

我们报道了布朗但非高斯扩散，其中粒子的均方位移随时间线性增长，粒子扩散的概率密度与高斯相似，但其位置增量的概率密度具有指数衰减的尾巴。与该领域的最新研究相比，这种行为既不是随空间或时间变化的扩散率的结果，而是由外部非热噪声以周期性电势作用于粒子驻留的结果。增量统计中指数尾部的存在导致扩散的巨大增强，大大超过了先前研究的称为“巨型”扩散的情况。这种巨大的扩散增强至关重要地影响了各种各样的首次到达问题，