具有偏好重取向的奔跑翻滚粒子
Run-and-tumble particles with preferred reorientation
AI总结：
本研究探究具有非均匀翻滚分布的奔跑翻滚粒子动力学，通过推导Doi-Peliti场论建立其与手性活性布朗粒子的映射，表征其空间与取向动力学，为相关研究奠定基础。
AI中文摘要：
奔跑翻滚粒子（RTPs）的经典建模采用均匀翻滚概率，但该假设对许多生物微游泳体不成立。本研究探究具有任意非均匀翻滚分布的RTPs动力学，通过推导精确的Doi-Peliti场论，明确计算大量空间与取向可观测量。特别地，证明空间动力学呈现完全由翻滚分布的第一傅里叶模决定的有效持续性与手性，建立与手性活性布朗粒子动力学的形式映射。此外，该场论框架提供系统方法计算任意阶空间矩，实现复杂翻滚动力学的完整表征与识别。以缠绕高斯和双模态高斯分布为例说明该框架，展示对持续性与手性的明确控制；进一步将场论扩展至d维，以单一有效翻滚率形式恢复均方位移。研究结果确立了翻滚分布形状与涌现动力学的直接联系，为研究具有非均匀重取向的相互作用RTPs奠定基础。
英文摘要：
Run-and-tumble particles (RTPs) are canonically modeled with uniform reorientation probabilities, an assumption that breaks down for many biological microswimmers. In this work, we investigate the dynamics of RTPs with arbitrary non-uniform tumble distributions. By deriving an exact Doi-Peliti field theory, we explicitly calculate a wide array of spatial and orientational observables. Notably, we demonstrate that the spatial dynamics exhibit an effective persistence and chirality governed entirely by the first Fourier modes of the tumble distribution, establishing a formal mapping to the dynamics of chiral active Brownian particles. Furthermore, our field-theoretic framework provides a systematic method to compute spatial moments to arbitrary order, allowing for the complete characterization and identification of complex tumbling dynamics. We illustrate the framework with wrapped Gaussian and bimodal Gaussian distributions, demonstrating explicit control over persistence and chirality. We further extend the field theory to $d$ dimensions, recovering the mean squared displacement in terms of a single effective tumble rate. Our results establish a direct link between the shape of the tumble distribution and the emergent dynamics, and provide a foundation for the study of interacting RTPs with non-uniform reorientation.
