The Inertial Spin Model of flocking with position-dependent forces
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909368525520896 |
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| author | Carruitero, Sebastián Duran, Alejo Costa Pisegna, Giulia Sturla, Mauricio B. Grigera, Tomás S. |
| author_facet | Carruitero, Sebastián Duran, Alejo Costa Pisegna, Giulia Sturla, Mauricio B. Grigera, Tomás S. |
| contents | We propose an extension to the ISM of flocking and swarming. The model has been introduced to explain certain dynamic features of swarming (second sound, a lower than expected dynamic critical exponent) while preserving the mechanism for onset of order provided by the Vicsek model. The ISM has only been formulated with an imitation (``ferromagnetic'') interaction between velocities. Here we show how to add position-dependent forces in the model, which allows to consider effects such as cohesion, excluded volume, confinement and perturbation with external position-dependent field, and thus study this model without periodic boundary conditions. We study numerically a single particle with an harmonic confining field and compare it to a Brownian harmonic oscillator and to a harmonically confined active Browinian particle, finding qualitatively different behavior in the three cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_06368 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Inertial Spin Model of flocking with position-dependent forces Carruitero, Sebastián Duran, Alejo Costa Pisegna, Giulia Sturla, Mauricio B. Grigera, Tomás S. Statistical Mechanics Biological Physics Quantitative Methods We propose an extension to the ISM of flocking and swarming. The model has been introduced to explain certain dynamic features of swarming (second sound, a lower than expected dynamic critical exponent) while preserving the mechanism for onset of order provided by the Vicsek model. The ISM has only been formulated with an imitation (``ferromagnetic'') interaction between velocities. Here we show how to add position-dependent forces in the model, which allows to consider effects such as cohesion, excluded volume, confinement and perturbation with external position-dependent field, and thus study this model without periodic boundary conditions. We study numerically a single particle with an harmonic confining field and compare it to a Brownian harmonic oscillator and to a harmonically confined active Browinian particle, finding qualitatively different behavior in the three cases. |
| title | The Inertial Spin Model of flocking with position-dependent forces |
| topic | Statistical Mechanics Biological Physics Quantitative Methods |
| url | https://arxiv.org/abs/2312.06368 |