Being a vital two-dimensional multibody interacting particle system in nonlinear science and complex systems, exclusion network fuses totally asymmetric simple exclusion process into underlying complex network dynamics. This study constructs equiprobable exclusion network with heterogeneous interactions by introducing randomly generated interaction rates on each random path. Nodes are equivalent to subnetworks modelled by periodic TASEPs. Analytical solutions of typical order parameters are obtained by exploring dynamical transitions among configuration probabilities validated by meticulous balance theory. Physical mechanisms of underlying exclusion network dynamics are revealed by discussing TASEP with boundaries and Langmuir kinetics. New analytical method named as isoline analyses on mechanisms of spatial correlation and spatiotemporal evolution is proposed. Phase boundaries between initial state and steady state are analytically solved, which have a high agreement with simulations. Fruitful mechanisms of system transiting from initial phase to steady phases are discovered. It will have theoretical and practical value of deeply understanding evolution laws of cluster dynamics of self-driven particles and exploring non-equilibrium phase transitions in active systems.

作为非线性科学和复杂系统中重要的二维多体相互作用粒子系统，排斥网络将完全不对称的简单排斥过程融合到潜在的复杂网络动力学中。本研究通过在每个随机路径上引入随机生成的交互率来构建具有异构交互的等概率排除网络。节点相当于由周期性 TASEP 建模的子网。通过探索经过细致平衡理论验证的配置概率之间的动态转换，获得了典型阶参数的解析解。通过讨论具有边界和朗缪尔动力学的 TASEP，揭示了潜在排斥网络动力学的物理机制。提出了新的分析方法，称为等值线分析的空间相关性和时空演化机制。初始状态和稳态之间的相边界被解析求解，与模拟具有很高的一致性。发现了系统从初始阶段过渡到稳定阶段的卓有成效的机制。对深入理解自驱动粒子团簇动力学演化规律，探索活性系统中的非平衡相变具有理论和实用价值。