Université Montpellier, Laboratoire Charles Coulomb UMR, France.
Phys Rev Lett. 2011 Aug 5;107(6):068702. doi: 10.1103/PhysRevLett.107.068702.
We study the totally asymmetric simple exclusion process (TASEP) on complex networks, as a paradigmatic model for transport subject to excluded volume interactions. Building on TASEP phenomenology on a single segment and borrowing ideas from random networks we investigate the effect of connectivity on transport. In particular, we argue that the presence of disorder in the topology of vertices crucially modifies the transport features of a network: irregular networks involve homogeneous segments and have a bimodal distribution of edge densities, whereas regular networks are dominated by shocks leading to a unimodal density distribution. The proposed numerical approach of solving for mean-field transport on networks provides a general framework for studying TASEP on large networks, and is expected to generalize to other transport processes.
我们研究复杂网络上的完全非对称简单排斥过程（TASEP），这是一个受到排斥体积相互作用影响的传输的典型模型。基于 TASEP 在单个片段上的现象学，并借鉴随机网络的思想，我们研究了连接性对传输的影响。特别是，我们认为顶点拓扑中的无序的存在会极大地改变网络的传输特征：不规则网络涉及均匀的片段，具有边缘密度的双峰分布，而规则网络则由导致单峰密度分布的冲击主导。我们提出的网络上平均场传输的数值求解方法为研究大型网络上的 TASEP 提供了一个通用框架，并有望推广到其他传输过程。
