2018/11/30 by Karol Capała, Bartłomiej Dybiec
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Artificial intelligence #Cauchy distribution #Classical mechanics #Computer science #Image (mathematics) #Materials science #Mathematical analysis #Mathematics #Modal #Noise (video) #Physics #Quantum mechanics #Stationary state #Statistical Mechanics and Entropy #Statistical physics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/1742-5468/ab054c
published as J. Stat. Mech. P033206 (2019) · 15 pages 10 figures
arxiv created 2019/01/16 · openalex publication_date 2019/03/19 · arxiv updated 2021/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Stationary states for a particle moving in a single-well, steeper than parabolic, potential driven by Lévy noise can be bimodal. Here, we explore in details conditions that are required in order to induce multimodal stationary states having more than two modal values. Phenomenological arguments determining necessary conditions for emergence of stationary states of higher multimodality are provided. Basing on these arguments, appropriate symmetric single-well potentials are constructed. Finally, using numerical methods it is verified that stationary states have anticipated multimodality.