Abstract
The paper studies periodic two-dimensional exclusion processes constituted by multi-lane totally asymmetric simple exclusion processes with the effect of asymmetric lane-changing rates. Particles in lane i can move forward with a rate $${p_i}$$ or hop into the adjacent lane $${i-1}$$ ( $${i+1}$$ ) with a rate $$\omega _i^u$$ ( $$\omega _i^d$$ ). Complemented by Monte Carlo simulations, exact solutions have been derived. According to the detailed balance principle, two different cases $$\omega _{i - 1}^d = \omega _i^u$$ and $$\omega _i^u = \omega _{i + 1}^d$$ are studied here. Dynamics of the system can be revealed by exact solutions, which can match well with simulation ones.
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