It is surprising to find an instance of migration in the peak positions of synchrotron spectral energy distribution components during the activity epochs of Markarian 421 (Mrk 421), accompanying an orphan flare at the X-ray and GeV-TeV γ-ray bands. A geometric interpretation and standard shock or stochastic acceleration models of blazar emission have difficulty reproducing these observed behaviors. The present paper introduces a linear acceleration by integrating the reconnection electric field into the particle transport model for the observed behaviors of Mrk 421. We note that strong evidence for evolution in characteristic of multi-wavelength spectral energy distribution including shifting the peak frequency, accompanying an orphan flare at the X-ray and GeV-TeV γ-ray bands provides an important electrostatic acceleration diagnostic in a blazar jet. Assuming suitable model parameters, we apply the results of the simulation to the 13-day flaring event in March 2010 of Mrk 421, concentrating on the evolution of multi-wavelength spectral energy distribution characteristic by shifting the peak frequency. It is clear that the ratio of the electric field and magnetic field strength plays an important role in temporal evolution of the peak frequency of synchrotron spectral energy distribution component. We suggest it is reasonable that the electrostatic acceleration is responsible for the evolution of multi-wavelength spectral energy distribution characteristic by shifting the peak frequency. Based on the model results, we assert that the peak frequency of the synchrotron spectral energy distribution component may signify a temporary characteristic of blazars, rather than a permanent one.

令人惊讶的是，在 Markarian 421 (Mrk 421) 的活动时期，同步加速器光谱能量分布分量的峰值位置发生了迁移，伴随着 X 射线和 GeV-TeV γ射线波段的孤儿耀斑。耀变体发射的几何解释和标准冲击或随机加速模型难以再现这些观察到的行为。本文通过将重联电场集成到粒子传输模型中来引入线性加速度，以观察 Mrk 421 的行为。我们注意到多波长光谱能量分布特征演变的有力证据，包括移动峰值频率，伴随着X 射线和 GeV-TeV γ的孤儿耀斑射线波段在耀变体射流中提供了重要的静电加速诊断。假设模型参数合适，我们将模拟结果应用到 2010 年 3 月的 Mrk 421 为期 13 天的燃烧事件，集中研究了通过移动峰值频率的多波长光谱能量分布特征的演变。显然，电场和磁场强度的比值在同步加速器光谱能量分布分量的峰值频率的时间演化中起着重要作用。我们认为静电加速度通过移动峰值频率来负责多波长光谱能量分布特性的演变是合理的。根据模型结果，