Role of long jumps in Lévy noise induced multimodality
arxiv(2024)
摘要
Lévy noise is a paradigmatic noise used to describe out-of-equilibrium
systems. Typically, properties of Lévy noise driven systems are very
different from their Gaussian white noise driven counterparts. In particular,
under action of Lévy noise, stationary states in single-well, super-harmonic,
potentials are no longer unimodal. Typically, they are bimodal however for
fine-tuned potentials the number of modes can be further increased. The
multimodality arises as a consequence of the competition between long
displacements induced by the non-equilibrium stochastic driving and action of
the deterministic force. Here, we explore robustness of bimodality in the
quartic potential under action of the Lévy noise. We explore various
scenarios of bounding long jumps and assess their ability to weaken and
disassembly multimodality. In general, we demonstrate that despite its
robustness it is possible to destroy the bimodality by limiting the length of
noise-induced jumps.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要