Multimodality in systems driven by Ornstein-Uhlenbeck noise.

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-11-01 DOI:10.1063/5.0228666
Bartłomiej Dybiec
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Abstract

The presence of noise in nonlinear dynamical systems can significantly change their properties. Here, we study the properties of a noise perturbed motion in a single-well potential of |x|n (n>0) type. We explore under what conditions the action of the Ornstein-Uhlenbeck noise induces bimodality of stationary states in static, single-well, power-law potentials. In particular, we inspect the transition from unimodality (n⩽2) to bimodality (n>2). Results of numerical simulations are compared with estimates obtained from the unified colored-noise approximation. Furthermore, we explore the role of a harmonic addition to the general single-well power-law potentials showing its constructive or destructive role.

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由 Ornstein-Uhlenbeck 噪声驱动的系统中的多模态性。
非线性动力学系统中噪声的存在会显著改变其特性。在此,我们研究了 |x|n (n>0) 型单阱势中受噪声扰动的运动特性。我们探讨了在什么条件下,Ornstein-Uhlenbeck 噪声的作用会导致静态、单孔、幂律势中静止状态的双峰性。特别是,我们考察了从单峰性(n⩽2)到双峰性(n>2)的过渡。我们将数值模拟的结果与统一色噪近似的估计值进行了比较。此外,我们还探讨了一般单阱幂律势的谐波附加作用,显示了其建设性或破坏性作用。
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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