6 papers
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…
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…
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…
On the solitary wave configurations of nonlinear Schrödinger equation under the effect of Lévy noise
Hina Zulfiqar, Shenglan Yuan, Muhammad Shoaib Saleem
This study aims to examine the effect of Lévy noise on the solutions of the nonlinear Schrödinger equation. An improved diversity of stochastic solutions is instinctively located d…
Stochastic dynamics of the resistively shunted superconducting tunnel junction system under the impact of thermal fluctuations
Shenglan Yuan
In this work, a Josephson junction consisting of two superconducting layers sandwiching an insulating layer is explored, which is subject to the effects of thermal fluctuations. Th…
Rare events in a stochastic vegetation-water dynamical system based on machine learning
Yang Li, Shenglan Yuan, Shengyuan Xu
Stochastic vegetation-water dynamical systems play a pivotal role in ecological stability, biodiversity, water resource management, and adaptation to climate change. This research…