3 papers
math.DS2026
Stochastic Dynamics of the Two-Dimensional Low-to-High Transition System Driven by Multiplicative Noise
Yongzhi Li, Shenglan Yuan
This work presents a two-dimensional coupled Low-to-High confinement transition system based on the phenomenological coupling mechanism between zonal flows and turbulent fluctuatio…
cond-mat.stat-mech2025
Lévy noise drives an exponential acceleration in transition rates within metastable systems
Shenglan Yuan
Lévy noise influences diverse non-equilibrium systems across scales, including quantum devices, active biological matter, and financial markets. While such noise is pervasive, its…
math.DS2025
Effective dynamics of interfaces for nonlinear SPDEs driven by multiplicative white noise
Shenglan Yuan, Dirk Blömker
In the present work, we investigate the dynamics of the infinite-dimensional stochastic partial differential equation (SPDE) with multiplicative white noise. We derive the effectiv…