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arXiv 2608.26773cond-mat.stat-mech

平衡态非线性摩擦下的布朗运动却非高斯扩散

Brownian yet non-Gaussian diffusion through equilibrium nonlinear friction

Jakob Mihatsch, Andreas M. Menzel

AI总结:

该研究针对布朗运动却非高斯扩散现象,通过引入随机平衡条件下的非线性摩擦机制,解释了均匀环境中出现的中间时刻非高斯、长期过渡为高斯的位移统计特性。

AI中文摘要:

在布朗运动却非高斯扩散(BnGD)中,均方位移随时间线性增长,但其位移统计量并非始终服从正态分布,通常在中间时刻呈非高斯特性,长期则过渡为高斯分布。我们证明,在正确施加的随机平衡条件下,非线性摩擦可为均匀环境中的该现象提供解释。

英文摘要:

In Brownian yet non-Gaussian diffusion (BnGD) the mean squared displacement grows linearly in time. However, the displacement statistics do not follow a normal distribution throughout. Typically, they are non-Gaussian at intermediate times, before they cross over to Gaussian in the long-time regime. We demonstrate that nonlinear friction under correctly applied stochastic equilibrium conditions provides an explanation of this phenomenon also for homogeneous environments.

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