Hydrodynamics of bacterial motion

Abstract

In this paper we present a hydrodynamic approach to describe the motion of migrating bacteria as a special class of self-propelled systems. Analytical and numerical calculations has been performed to study the behavior of our model in the turbulent-like regime and to show that a phase transition occurs as a function of noise strength. Our results can explain previous experimental observations as well as results of numerical simulations.

8 pages, 10 figures

References in corpus (2)

• Novel type of phase transition in a system of self-driven particles
• Lattice-gas model for collective biological motion

Cited by in corpus (13)

• Collective motion
• Collective motion of self-propelled particles interacting without cohesion
• Boltzmann and hydrodynamic description for self-propelled particles
• Collective behavior of interacting self-propelled particles
• Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
• Noise-Induced Transition from Translational to Rotational Motion of Swarms
• Active Brownian particles with velocity-alignment and active fluctuations
• Diffusion in a continuum model of self-propelled particles with alignment interaction
• On the relation between Vicsek and Kuramoto models of spontaneous synchronization
• Hydrodynamic Model for the System of Self Propelling Particles with Conservative Kinematic Constraints; Two dimensional stationary solutions
• Effective run-and-tumble dynamics of bacteria baths
• Gregarious vs Individualistic Behavior in Vicsek Swarms and the Onset of First-Order Phase Transitions
• Collective Motion