dorsal/arxiv
View SchemaPhase separation of bacterial colonies in a limit of high degradation. Analogy with Jupiter's great red spot
| Authors | P. H. Chavanis |
|---|---|
| Categories | |
| ArXiv ID | physics/0607020 |
| URL | https://arxiv.org/abs/physics/0607020 |
| DOI | 10.1140/epjb/e2007-00021-y |
| Journal | Eur. Phys. J. B, 54, 525 (2006) |
Abstract
We discuss the structure of the equilibrium states of a regularized Keller-Segel model describing the chemotaxis of bacterial populations. We consider the limit of high degradation of the secreted chemical where analytical results can be obtained. Below a critical effective temperature, the system experiences a second order phase transition from a homogeneous phase to an inhomogeneous phase formed by two domains with uniform concentration separated by a thin interface (domain wall). We study the properties of the interface and determine the bifurcation between a circular shape (spot) and a stripe as a function of the control parameters. We show the analogy with the structure of Jupiter's Great red spot which also consists of two phases with uniform potential vorticity separated by a thin annular jet.
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"abstract": "We discuss the structure of the equilibrium states of a regularized\nKeller-Segel model describing the chemotaxis of bacterial populations. We\nconsider the limit of high degradation of the secreted chemical where\nanalytical results can be obtained. Below a critical effective temperature, the\nsystem experiences a second order phase transition from a homogeneous phase to\nan inhomogeneous phase formed by two domains with uniform concentration\nseparated by a thin interface (domain wall). We study the properties of the\ninterface and determine the bifurcation between a circular shape (spot) and a\nstripe as a function of the control parameters. We show the analogy with the\nstructure of Jupiter\u0027s Great red spot which also consists of two phases with\nuniform potential vorticity separated by a thin annular jet.",
"arxiv_id": "physics/0607020",
"authors": [
"P. H. Chavanis"
],
"categories": [
"physics.bio-ph"
],
"doi": "10.1140/epjb/e2007-00021-y",
"journal_ref": "Eur. Phys. J. B, 54, 525 (2006)",
"title": "Phase separation of bacterial colonies in a limit of high degradation. Analogy with Jupiter\u0027s great red spot",
"url": "https://arxiv.org/abs/physics/0607020"
},
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