We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Average amplitudes analysis for a phenomenological model under hydrodynamic interactions with periodic perturbation and multiplicative trichotomous noise.
- Authors
Qiu, Lini; He, Guitian; Peng, Yun; Lv, Huijun; Tang, Yujie
- Abstract
From a statistical mechanics perspective, to describe the dynamics of a tracer, a phenomenological model has been established by a generalized Langevin equation (GLE) which includes a Basset force, a periodic perturbation force, a Stokes force, an external force and a thermal noise. Using the generalized Shapiro-Loginov formula, the iterative expressions of the first moments of the system are obtained. The time series of the first moments have been extensively investigated. By analyzing the time series of the first moments of the system with different system parameters, the irregular responses of the curves are revealed and tend to be stable for a long time. Significantly, the dynamics of average amplitudes of the first moments, influenced by various system parameters, have also been addressed in detail. Especially, the monotonic and non-monotonic properties of the average amplitudes of the first moments versus the memory exponent α are discussed.
- Subjects
LANGEVIN equations; TIME series analysis; THERMAL noise; NOISE; QUANTUM perturbations; STATISTICAL mechanics
- Publication
European Physical Journal B: Condensed Matter, 2023, Vol 96, Issue 4, p1
- ISSN
1434-6028
- Publication type
Article
- DOI
10.1140/epjb/s10051-023-00511-4