  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.
