We introduce and study a model of active Brownian motion with multiplicative noise describing fluctuations in the self-propulsion or activity. We find that the standard picture of density accumulation in slow regions is qualitatively modified by active fluctuations, as stationary density profiles are generally not determined only by the mean self-propulsion speed landscape. As a result, activity gradients generically correlate the particle self-propulsion speed and orientation, leading to emergent polarization at interfaces pointing either towards dense or dilute regions depending on the amount of noise in the system. We discuss how active noise affects the emergence of motility induced phase separation. Our work provides a foundation for systematic studies of active matter self-organization in the presence of activity landscapes and active fluctuations.
Emergent universal long-range structure in random-organizing systems
Courant Institute of Mathematical Sciences, New York University（纽约大学库朗数学科学研究所）；Center for Soft Matter Research, Department of Physics, New York University（纽约大学物理系软物质研究中心）；Simons Center for Computational Physical Chemistry, Department of Chemistry, New York University（纽约大学化学系西蒙斯计算物理化学中心）；Center for Neural Science, New York University（纽约大学神经科学中心）
Emergent Synchronization and Defect Dynamics in Confined Chiral Active Suspensions
Peking University（北京大学）；Chinese Academy of Sciences（中国科学院）；Xi'an University of Architecture and Technology（西安建筑科技大学）；University of Amsterdam（阿姆斯特丹大学）；Univ. Bordeaux（波尔多大学）
Kinetic Turing Instability and Emergent Spectral Scaling in Chiral Active Turbulence
The European Space Agency Centre for Earth Observation（欧洲空间局地球观测中心）；Department of Physics and Engineering Physics, University of Saskatchewan（萨斯喀彻温大学物理与工程物理系）
