周期势中的孤子簇波：形成、传播与孤子介导的粒子输运
Solitary cluster waves in periodic potentials: Formation, propagation, and soliton-mediated particle transport
AI总结：
针对一维周期势中的簇介导粒子输运，本文以静态预孤子态为基础分析孤子簇波的形成与传播，推导孤子数、速度和粒子流，并解释孤子排斥及低温动力学相变。
摘要：
拥挤周期结构中的输运过程通常由形成簇的粒子协同运动所介导。最近关于硬球受驱布朗运动的理论和实验研究表明，一维周期势中的簇介导输运可以孤波形式进行。我们在此对这些孤子给出全面描述。我们分析的基础是静态预孤子态，它由基本稳定簇的周期排列形成。其尺寸遵循最小自由空间的几何原理。向预孤子态中加入一个粒子便会产生孤子。我们推导了孤子形成所需的最少粒子数、粒子数较大时的孤子数量、孤子速度以及孤子介导的粒子流。基本簇的不完全弛豫导致了测量中观察到的有效孤子—孤子排斥相互作用。研究预测，在低温下电流—密度关系中会发生动力学相变。我们的结果为描述周期势中簇介导粒子输运的实验提供了理论基础。
英文摘要：
Transport processes in crowded periodic structures are often mediated by cooperative movements of particles forming clusters. Recent theoretical and experimental studies of driven Brownian motion of hard spheres showed that cluster-mediated transport in one-dimensional periodic potentials can proceed in form of solitary waves. We here give a comprehensive description of these solitons. Fundamental for our analysis is a static presoliton state, which is formed by a periodic arrangement of basic stable clusters. Their size follows from a geometric principle of minimum free space. Adding one particle to the presoliton state gives rise to solitons. We derive the minimal number of particles needed for soliton formation, number of solitons at larger particle numbers, soliton velocities and soliton-mediated particle currents. Incomplete relaxations of the basic clusters are responsible for an effective repulsive soliton-soliton interaction seen in measurements. A dynamical phase transition is predicted to occur in current-density relations at low temperatures. Our results provide a theoretical basis for describing experiments on cluster-mediated particle transport in periodic potentials.
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