We study the diffusion of a tracer particle, which moves in continuum space between a lattice of excluded volume, immobile non-inert obstacles. In particular, we analyse how the strength of the tracer-obstacle interactions and the volume occupancy of the crowders alter the diffusive motion of the tracer. From the details of the partitioning of the tracer diffusion modes between trapping states when bound to obstacles and bulk diffusion, we examine the degree of localisation of the tracer in the lattice of crowders. We study the properties of the tracer diffusion in terms of the ensemble and time averaged mean squared displacements, the trapping time distributions, the amplitude variation of the time averaged mean squared displacements, and the non-Gaussianity parameter of the diffusing tracer. We conclude that tracer-obstacle adsorption and binding triggers a transient anomalous diffusion. From a very narrow spread of recorded individual time averaged trajectories we exclude continuous type random walk processes as the underlying physical model of the tracer diffusion in our system. For moderate tracer-crowder attraction the motion is found to be fully ergodic, while at stronger attraction strength a transient disparity between ensemble and time averaged mean squared displacements occurs. We also put our results into perspective with findings from experimental single-particle tracking and simulations of the diffusion of tagged tracers in dense crowded suspensions. Our results have implications for the diffusion, transport, and spreading of chemical components in highly crowded environments inside living cells and other structured liquids.
Enhanced diffusion of colloidal tracers due to enzymatic activity
California State University Fullerton(加州州立大学富勒顿分校);Lewis-Sigler Institute for Integrative Genomics, Princeton University(普林斯顿大学整合基因组学刘易斯-西格勒研究所);Université de Toulouse(图卢兹大学);Valencia High School(瓦伦西亚高中);Syracuse University(雪城大学);Brandeis University(布兰迪斯大学);CNRS, Laboratoire de Physique Théorique(法国国家科学研究中心理论物理实验室);CNRS, Centre de Biologie Intégrative(法国国家科学研究中心综合生物学中心)
Heterogeneous diffusion with recruitment and mortality
Escuela Superior Politécnica del Litoral, ESPOL(厄瓜多尔高等理工学院);Banaras Hindu University(贝拿勒斯印度教大学);Laboratoire de Physique et Chimie Théoriques (CNRS UMR 7019), Université de Lorraine Nancy(洛林大学南锡校区理论物理与化学实验室);Centro de Física Teórica e Computacional, Universidade de Lisboa(里斯本大学理论与计算物理中心);Research Center for Computer Science and Information Technologies, Macedonian Academy of Sciences and Arts(马其顿科学院计算机科学与信息技术研究中心);Institute of Physics, Faculty of Natural Sciences and Mathematics, Ss. Cyril and Methodius University(西里尔和梅托迪乌斯大学自然科学与数学学院物理研究所);Department of Physics, Korea University(韩国大学物理系)