We study the non-Markovian Langevin dynamics of a massive particle in a one-dimensional double-well potential in the presence of multi-exponential memory by simulations. We consider memory functions as the sum of two or three exponentials with different friction amplitudes ##IMG## [http://ej.iop.org/images/0295-5075/131/4/40004/epl20260ieqn1.gif] {$\gamma_i$} and different memory times ##IMG## [http://ej.iop.org/images/0295-5075/131/4/40004/epl20260ieqn2.gif] {$\tau_i$} and confirm the validity of a previously suggested heuristic formula for the mean first-passage time ##IMG## [http://ej.iop.org/images/0295-5075/131/4/40004/epl20260ieqn3.gif] {$\tau_{\textit{MFP}}$} . Based on the heuristic formula, we derive a general scaling diagram that features a Markovian regime for short memory times, an asymptotic long-memory-time regime where barrier crossing is slowed down and ##IMG## {$\tau_{\textit{MFP...}

中文翻译：

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具有不相等的摩擦幅度和存储时间的多指数存储功能的障碍穿越

我们通过模拟研究了在多指数内存存在的情况下一维双阱势中大质量粒子的非马尔可夫兰格文动力学。我们将记忆函数视为具有不同摩擦幅度的两个或三个指数的总和## IMG ## [http://ej.iop.org/images/0295-5075/131/4/40004/epl20260ieqn1.gif] {$ \ gamma_i $}和不同的存储时间## IMG ## [http://ej.iop.org/images/0295-5075/131/4/40004/epl20260ieqn2.gif] {$ \ tau_i $}并确认有效性平均首次通过时间## IMG ## [http://ej.iop.org/images/0295-5075/131/4/40004/epl20260ieqn3.gif] {$ \ tau_ { \ textit {MFP}} $}。根据启发式公式，我们得出了一个通用的比例尺图，该图具有马尔可夫机制，可缩短存储时间，