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arXiv 2409.03533cond-mat.stat-mech
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活性布朗粒子壁面力矩的贝叶斯推断

Bayesian inference of wall torques for active Brownian particles

Sascha Lambert, Merle Duchene, Stefan Klumpp

AI总结:

本文通过比较杆状活性粒子在平面壁散射的轨迹,评估经验力矩模型质量,并提出无需取向数据的贝叶斯推断方法以构建参数后验分布。

摘要:

生命体和合成自推进物体的运动常使用活性布朗粒子来描述。为了刻画这些粒子与其通常复杂的环境之间的相互作用,该模型可以通过经验力或力矩进行增强,例如用于描述它们在碰撞后与障碍物或壁面的对齐。在此,我们通过将经验模型的输出预测与在平坦壁面处发生空间位阻散射的杆状活性粒子轨迹进行比较,来评估这些经验模型的质量。我们采用经典最小二乘法来评估瞬时力矩。此外,我们设计了一种贝叶斯推断程序,以构建合理模型参数的后验分布。与最小二乘拟合相比,贝叶斯方法不需要活性粒子的取向数据,并且可以方便地应用于实验追踪数据。

英文摘要:

The motility of living things and synthetic self-propelled objects is often described using Active Brownian particles. To capture the interaction of these particles with their often complex environment, this model can be augmented with empirical forces or torques, for example, to describe their alignment with an obstacle or wall after a collision. Here, we assess the quality of these empirical models by comparing their output predictions with trajectories of rod-shaped active particles that scatter sterically at a flat wall. We employ a classical least-squares method to evaluate the instantaneous torque. In addition, we lay out a Bayesian inference procedure to construct the posterior distribution of plausible model parameters. In contrast to the least squares fit, the Bayesian approach does not require orientational data of the active particle and can readily be applied to experimental tracking data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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