标题： 相对论性Lévy过程 显示英文标题

标题： Relativistic Lévy processes

摘要： 在本研究中，我们探讨如何在狭义相对论理论中正确描述独立同分布随机速度的和。 我们推导出一种在一维情况下稳定的概率分布，该分布在相对论速度相加下保持稳定。 在给定系统中，这允许根据分布在原点处的凹凸性以及测量相对论速度的概率来识别不同的物理区域。 这些特性提供了一个协议，用于评估实际实验中随机相对论效应的相关性。 作为例子，我们发现与关于重离子扩散的先前结果一致，并且我们的结果与反质子冷却测量中观察到的动量偏差分布一致。 显示英文摘要

摘要： In this contribution, we investigate how to correctly describe sums of independent and identically distributed random velocities in the theory of special relativity. We derive a one-dimensional probability distribution of velocities stable under relativistic velocity addition. In a given system, this allows identifying distinct physical regimes in terms of the distribution's concavity at the origin and the probability of measuring relativistic velocities. These features provide a protocol to assess the relevance of stochastic relativistic effects in actual experiments. As examples, we find agreement with previous results about heavy-ion diffusion and show that our findings are consistent with the distribution of momentum deviations observed in measurements of antiproton cooling.