Existence of spontaneous symmetry breaking in two-lane totally asymmetric simple exclusion processes with an intersection

Tian Bo^{1, 2, †}, Xia Ping^{1, ‡}, Liu Li¹, Wu Meng-Ran¹, Guo Shu-Yong^{1, 2}

(a) Schematic view of the model. The allowed moves are indicated by arrows and the prohibited hoppings are shown by crossed arrows. α and β correspond to the entrance and exit probabilities. (b) The illustration of cluster mean-field analysis. α₁ and α₂ (β₁ and β₂) denote effective injection (removal) probabilities.