识别谐波束缚活性布朗动力学中残余活性的特征
Identifying the signatures of residual activity in harmonically bound active Brownian dynamics
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中文总结 AI 辅助
研究谐波束缚活性布朗粒子动力学，通过解析计算和数值模拟，分析不同活性下多种动力学指标变化，识别谐波约束阻碍后残余活性特征，揭示不同位置分布 regime 中动力学受残余活性影响的情况。
中文摘要 AI 辅助
一个受限的自推进粒子展现出一系列由粒子内在活性与外加约束之间的相互作用所决定的有趣动力学现象。这种竞争表现为谐波束缚活性布朗粒子（HBABP）稳态位置分布从类玻尔兹曼分布到双峰分布的转变，分别对应被动和主动 regime。本文通过解析计算和数值模拟对HBABP的动力学进行全面分析，研究了不同活性下位置分布、残余或合成速度、均方位移、功率谱密度和有效谐波约束的变化。这些分析提供了在谐波约束阻碍后ABP动力学中残余或剩余活性特征的可靠识别。结果表明，类玻尔兹曼位置分布 regime 中HBABP的合成动力学由残余活性主导，而双峰位置分布 regime 中的运动类似于谐波束缚布朗粒子在位移位置处的运动，此时活性由恢复力场平衡且无残余活性。
英文摘要
A confined self-propelled particle exhibits a range of intriguing dynamical phenomena dictated by the interplay between the intrinsic activity of the particle and the imposed confinement. This competition manifests as a crossover in the steady-state position distribution of a harmonically bound active Brownian particle (HBABP) from Boltzmann-like to bimodal, commonly recognized as the passive and active regimes, respectively, upon variations in activity and confinement strength. We present a comprehensive analysis of the resultant dynamics of an HBABP employing analytical calculations and numerical simulations, examining the variations in the position distribution, residual or resultant velocity, mean square displacement, power spectral density, and effective harmonic confinement at varying activities in the characteristic regimes across the crossover. These analyses provide a reliable identification of the signature of residual or remnant activity in ABP dynamics after being impeded by the harmonic confinement. Our results show that the resultant HBABP dynamics in the regime with a Boltzmann-like position distribution is dominated by residual activity, and the motion in the other regime, with a bimodal position distribution, is similar to that of a harmonically bound Brownian particle--devoid of residual activity--at a displaced position, where the activity is balanced by the restoring force field.
