反向驱动二元粒子在晶格模型中形成车道的研究
Lane formation in a lattice model for oppositely driven binary particles
AI总结：
本文研究正方晶格上反向驱动二元粒子在零温下的稳态行为，系统构造了卡住构型和车道形成两类稳态，并通过基于渗流问题的平均场分析估计相图，结果与数值模拟定性一致，同时讨论了有限尺寸效应。
摘要：
在零温极限下，研究了正方晶格上具有排斥相互作用的反向驱动二元粒子。在特定条件下，系统地构造了两类与卡住构型和车道形成相关的稳态。基于所构造的稳态，利用渗流问题进行平均场型分析，给出了相图的估计，该估计与数值模拟在定性上一致。进一步讨论了车道形成方面的有限尺寸效应。
英文摘要：
Oppositely driven binary particles with repulsive interactions on the square lattice are investigated at the zero-temperature limit. Two classes of steady states related to stuck configurations and lane formations have been constructed in systematic ways under certain conditions. A mean-field type analysis carried out using a percolation problem based on the constructed steady states provides an estimation of the phase diagram, which is qualitatively consistent with numerical simulations. Further, finite size effects in terms of lane formations are discussed.
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