Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation
We investigate the influence of a self-propelling, out-of-equilibrium active particle on generalized elastic systems, including flexible and semi-flexible polymers, fluid membranes, and fluctuating interfaces, while accounting for long-ranged hydrodynamic effects. We derive the fractional Langevin e...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/8/2/76 |
| _version_ | 1797298198571646976 |
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| author | Alessandro Taloni |
| author_facet | Alessandro Taloni |
| author_sort | Alessandro Taloni |
| collection | DOAJ |
| description | We investigate the influence of a self-propelling, out-of-equilibrium active particle on generalized elastic systems, including flexible and semi-flexible polymers, fluid membranes, and fluctuating interfaces, while accounting for long-ranged hydrodynamic effects. We derive the fractional Langevin equation governing the dynamics of the active particle, as well as that of any other passive particle (or probe) bound to the elastic system. This equation analytically demonstrates how the active particle dynamics is influenced by the interplay of both the non-equilibrium force and of the viscoelastic environment. Our study explores the diffusional behavior emerging for both the active particle and a distant probe. The active particle undergoes three different surprising and counter-intuitive regimes identified by the distinct dynamical time-scales: a pseudo-ballistic initial phase, a drastic decrease in the mobility, and an asymptotic subdiffusive regime. |
| first_indexed | 2024-03-07T22:31:36Z |
| format | Article |
| id | doaj.art-591be7c105234346bbe22d9ed61d6ec0 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-07T22:31:36Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-591be7c105234346bbe22d9ed61d6ec02024-02-23T15:17:08ZengMDPI AGFractal and Fractional2504-31102024-01-01827610.3390/fractalfract8020076Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin EquationAlessandro Taloni0Istituto Sistemi Complessi, Consiglio Nazionale delle Ricerche, via dei Taurini 19, 00185 Rome, ItalyWe investigate the influence of a self-propelling, out-of-equilibrium active particle on generalized elastic systems, including flexible and semi-flexible polymers, fluid membranes, and fluctuating interfaces, while accounting for long-ranged hydrodynamic effects. We derive the fractional Langevin equation governing the dynamics of the active particle, as well as that of any other passive particle (or probe) bound to the elastic system. This equation analytically demonstrates how the active particle dynamics is influenced by the interplay of both the non-equilibrium force and of the viscoelastic environment. Our study explores the diffusional behavior emerging for both the active particle and a distant probe. The active particle undergoes three different surprising and counter-intuitive regimes identified by the distinct dynamical time-scales: a pseudo-ballistic initial phase, a drastic decrease in the mobility, and an asymptotic subdiffusive regime.https://www.mdpi.com/2504-3110/8/2/76active Ornstein–Uhlenbeckgeneralized elastic modelfractional Langevin equation |
| spellingShingle | Alessandro Taloni Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation Fractal and Fractional active Ornstein–Uhlenbeck generalized elastic model fractional Langevin equation |
| title | Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation |
| title_full | Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation |
| title_fullStr | Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation |
| title_full_unstemmed | Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation |
| title_short | Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation |
| title_sort | diffusion of an active particle bound to a generalized elastic model fractional langevin equation |
| topic | active Ornstein–Uhlenbeck generalized elastic model fractional Langevin equation |
| url | https://www.mdpi.com/2504-3110/8/2/76 |
| work_keys_str_mv | AT alessandrotaloni diffusionofanactiveparticleboundtoageneralizedelasticmodelfractionallangevinequation |