From LRO to Disorder via QLRO in Spatially Inhomogeneous Polar Flock
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914158489894912 |
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| author | Kumar, Anish Semwal, Vivek Mishra, Shradha |
| author_facet | Kumar, Anish Semwal, Vivek Mishra, Shradha |
| contents | We study the collective behavior of a polar flock in an inhomogeneous environment in two-dimensions. The inhomogeneity is modelled by introducing regions at random locations on the substrate with higher noise but accessible for the flock to move. Hence inside such regions the particles orientation get randomised. Such inhomogeneities are different from the physical disorder, which obstructs the space for the incoming particles. The study focuses on how the phase behavior of polar flock changes by tuning the packing fraction of inhomogeneity. As packing fraction increases, the system crosses over from long-range to quasi long range order and ultimately to a disordered phase, while the order disorder transition for flocking changes from discontinuous to continuous. The resultant phase behavior of polar flock patterns here is comparable to that exhibited in the presence of physical disorder. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_11259 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From LRO to Disorder via QLRO in Spatially Inhomogeneous Polar Flock Kumar, Anish Semwal, Vivek Mishra, Shradha Soft Condensed Matter We study the collective behavior of a polar flock in an inhomogeneous environment in two-dimensions. The inhomogeneity is modelled by introducing regions at random locations on the substrate with higher noise but accessible for the flock to move. Hence inside such regions the particles orientation get randomised. Such inhomogeneities are different from the physical disorder, which obstructs the space for the incoming particles. The study focuses on how the phase behavior of polar flock changes by tuning the packing fraction of inhomogeneity. As packing fraction increases, the system crosses over from long-range to quasi long range order and ultimately to a disordered phase, while the order disorder transition for flocking changes from discontinuous to continuous. The resultant phase behavior of polar flock patterns here is comparable to that exhibited in the presence of physical disorder. |
| title | From LRO to Disorder via QLRO in Spatially Inhomogeneous Polar Flock |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2511.11259 |