Exact moments for trapped active particles: inertial impact on steady-state properties and re-entrance
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912061602136064 |
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| author | Patel, Manish Chaudhuri, Debasish |
| author_facet | Patel, Manish Chaudhuri, Debasish |
| contents | In this study, we investigate the behavior of inertial active Brownian particles in a $d$-dimensional harmonic trap in the presence of translational diffusion. While the solution of the Fokker-Planck equation is generally challenging, it can be utilized to compute the exact time evolution of all time-dependent dynamical moments using a Laplace transform approach. We present the explicit form for several moments of position and velocity in $d$-dimensions. An interplay of time scales assures that the effective diffusivity and steady-state kinetic temperature depend on both inertia and trap strength, unlike passive systems. We present detailed `phase diagrams' using kurtosis of velocity and position showing possibilities of re-entrance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01107 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact moments for trapped active particles: inertial impact on steady-state properties and re-entrance Patel, Manish Chaudhuri, Debasish Statistical Mechanics Biological Physics In this study, we investigate the behavior of inertial active Brownian particles in a $d$-dimensional harmonic trap in the presence of translational diffusion. While the solution of the Fokker-Planck equation is generally challenging, it can be utilized to compute the exact time evolution of all time-dependent dynamical moments using a Laplace transform approach. We present the explicit form for several moments of position and velocity in $d$-dimensions. An interplay of time scales assures that the effective diffusivity and steady-state kinetic temperature depend on both inertia and trap strength, unlike passive systems. We present detailed `phase diagrams' using kurtosis of velocity and position showing possibilities of re-entrance. |
| title | Exact moments for trapped active particles: inertial impact on steady-state properties and re-entrance |
| topic | Statistical Mechanics Biological Physics |
| url | https://arxiv.org/abs/2404.01107 |