This analysis demonstrates effective approximations of dynamics in stochastic systems with strong interactions, indicating dual influences from noise and interaction.
This paper presents an effective approximation method for analyzing a stochastic system composed of interacting components for large . By assuming linear interactions and considering the ensemble average, we demonstrate that the system can be accurately approximated by a one‐dimensional model. Furthermore, the approximation reveals the distinct influences of interaction and noise on the system's dynamics: While the interaction enhances metastability, the noise contributes to stabilizing the system.
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Lv et al. (2026) studied this question.
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