Phase separation of bacterial colonies in a limit of high degradation. Analogy with Jupiter's great red spot

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.

References in corpus (3)

• Logotropic distributions
• Nonlinear mean-field Fokker-Planck equations and their applications in physics, astrophysics and biology
• Jeans type instability for a chemotactic model of cellular aggregation

Cited by in corpus (9)

• Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations
• Kinetic and hydrodynamic models of chemotactic aggregation
• Critical dynamics of self-gravitating Langevin particles and bacterial populations
• Jeans type analysis of chemotactic collapse
• Exact diffusion coefficient of self-gravitating Brownian particles in two dimensions
• Critical mass of bacterial populations and critical temperature of self-gravitating Brownian particles in two dimensions
• Universality and self-similar behaviour of non-equilibrium systems with non-Fickian diffusion
• Critical mass of bacterial populations in a generalized Keller-Segel model. Analogy with the Chandrasekhar limiting mass of white dwarf stars
• The role of advection in phase-separating binary liquids