Impact of chirality on active Brownian particle: Exact moments in two and three dimensions
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912567493918720 |
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| author | Pattanayak, Anweshika Shee, Amir Chaudhuri, Debasish Chaudhuri, Abhishek |
| author_facet | Pattanayak, Anweshika Shee, Amir Chaudhuri, Debasish Chaudhuri, Abhishek |
| contents | In this work, we investigate the effects of chirality, accounting for translational diffusion, on active Brownian particles in two and three dimensions. Despite the inherent complexity in solving the Fokker-Planck equation, we demonstrate a Laplace transform method for precisely calculating the temporal evolution of various dynamic moments. Our analysis yields explicit expressions for multiple moments, such as the second and fourth moments of displacement, revealing the impact of persistence and chirality. These moments exhibit oscillatory behaviour, and excess kurtosis indicates deviations from the Gaussian distribution during intermediate time intervals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09650 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Impact of chirality on active Brownian particle: Exact moments in two and three dimensions Pattanayak, Anweshika Shee, Amir Chaudhuri, Debasish Chaudhuri, Abhishek Statistical Mechanics Soft Condensed Matter In this work, we investigate the effects of chirality, accounting for translational diffusion, on active Brownian particles in two and three dimensions. Despite the inherent complexity in solving the Fokker-Planck equation, we demonstrate a Laplace transform method for precisely calculating the temporal evolution of various dynamic moments. Our analysis yields explicit expressions for multiple moments, such as the second and fourth moments of displacement, revealing the impact of persistence and chirality. These moments exhibit oscillatory behaviour, and excess kurtosis indicates deviations from the Gaussian distribution during intermediate time intervals. |
| title | Impact of chirality on active Brownian particle: Exact moments in two and three dimensions |
| topic | Statistical Mechanics Soft Condensed Matter |
| url | https://arxiv.org/abs/2404.09650 |