论文标题
在存在简单示踪媒体相互作用的情况下，渗滤过渡的丧失
Loss of Percolation Transition in the Presence of Simple Tracer-Media Interactions
论文作者
论文摘要
无序培养基中的随机运动对防止原子，分子和其他颗粒在太空中自由移动的障碍物的存在敏感。当障碍物是静态的时，限制运动与自由扩散之间的急剧过渡发生在临界障碍物密度：渗透阈值。为了测试这种传统的智慧是否在存在简单的示踪媒体相互作用的情况下继续存在，我们引入了索科班随机步行。类似于同名视频游戏的主角，索科邦有一些能够推开阻碍其路径的障碍的能力。尽管人们期望这将使索科邦冒险更远，但我们出人意料地发现并非总是如此。确实，随着它移动$ \ unicode {x2013} $，将障碍物围绕$ \ unicode {x2013} $推动障碍物，索科班总是局限于一个有限区域，其平均大小由初始障碍物密度唯一确定。因此，渗透过渡丢失了。这一发现从统治的“迷宫中的蚂蚁”范式中断了，生动地说明，即使了解运输现象，也无法忽略弱和局部的示踪媒体相互作用。
Random motion in disordered media is sensitive to the presence of obstacles that prevent atoms, molecules, and other particles from moving freely in space. When obstacles are static, a sharp transition between confined motion and free diffusion occurs at a critical obstacle density: the percolation threshold. To test if this conventional wisdom continues to hold in the presence of simple tracer-media interactions, we introduce the Sokoban random walk. Akin to the protagonist of an eponymous video game, the Sokoban has some ability to push away obstacles that block its path. While one expects this will allow the Sokoban to venture further away, we surprisingly find that this is not always the case. Indeed, as it moves $\unicode{x2013}$ pushing obstacles around $\unicode{x2013}$ the Sokoban always confines itself to a finite region whose mean size is uniquely determined by the initial obstacle density. Consequently, the percolation transition is lost. This finding breaks from the ruling "ant in a labyrinth" paradigm, vividly illustrating that even weak and localized tracer-media interactions cannot be neglected when coming to understand transport phenomena.
