We reconsider baryon stopping in relativistic heavy-ion collisions in a nonequilibrium-statistical framework. The approach combines earlier formulations based on quantum chromodynamics with a relativistic diffusion model through a suitably derived fluctuation-dissipation relation, thus allowing for a fully time-dependent theory that is consistent with QCD. We use an existing framework for relativistic stochastic processes in spacetime that are Markovian in phase space, and adapt it to derive a Fokker-Planck equation in rapidity space, which is solved numerically. The time evolution of the net-proton distribution function in rapidity space agrees with stopping data from the CERN Super Proton Synchrotron and the BNL Relativistic Heavy Ion Collider.

中文翻译：

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重子作为相空间中的相对论马尔可夫过程而停止

我们在非平衡统计框架内重新考虑重子在相对论重离子碰撞中的停止。该方法通过适当推导的涨落-耗散关系，将基于量子色动力学的早期公式与相对论扩散模型结合在一起，从而允许与QCD完全一致的时变理论。我们使用时空的相对论随机过程的现有框架，即相空间中的马尔可夫模型，并对其进行适应以导出速度空间中的Fokker-Planck方程，该方程可通过数值求解。速度空间中净质子分布函数的时间演化与停止来自CERN超级质子同步加速器和BNL相对论重离子对撞机的数据相吻合。