Susceptibility of Polar Flocks to Spatial Anisotropy
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910602159456256 |
|---|---|
| author | Solon, Alexandre Chaté, Hugues Toner, John Tailleur, Julien |
| author_facet | Solon, Alexandre Chaté, Hugues Toner, John Tailleur, Julien |
| contents | We consider the effect of spatial anisotropy on polar flocks by investigating active $q$-state clock models in two dimensions. In contrast to what happens in equilibrium, we find that, in the large-size limit, any amount of anisotropy changes drastically the phenomenology of the rotationally-invariant case, destroying long-range correlations, pinning the direction of global order, and transforming the traveling bands of the coexistence phase into a single moving domain. All this happens beyond a lengthscale that diverges in the $q\to\infty$ limit. A phenomenology akin to that of the Vicsek model can thus be observed in a finite system for large enough values of $q$. We provide a scaling argument which rationalizes why anisotropy has so different effects in the passive and active cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_00704 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Susceptibility of Polar Flocks to Spatial Anisotropy Solon, Alexandre Chaté, Hugues Toner, John Tailleur, Julien Statistical Mechanics Soft Condensed Matter We consider the effect of spatial anisotropy on polar flocks by investigating active $q$-state clock models in two dimensions. In contrast to what happens in equilibrium, we find that, in the large-size limit, any amount of anisotropy changes drastically the phenomenology of the rotationally-invariant case, destroying long-range correlations, pinning the direction of global order, and transforming the traveling bands of the coexistence phase into a single moving domain. All this happens beyond a lengthscale that diverges in the $q\to\infty$ limit. A phenomenology akin to that of the Vicsek model can thus be observed in a finite system for large enough values of $q$. We provide a scaling argument which rationalizes why anisotropy has so different effects in the passive and active cases. |
| title | Susceptibility of Polar Flocks to Spatial Anisotropy |
| topic | Statistical Mechanics Soft Condensed Matter |
| url | https://arxiv.org/abs/2201.00704 |