A Kinetic Model for Semidilute Bacterial Suspensions
نویسندگان
چکیده
منابع مشابه
A Kinetic Model for Semidilute Bacterial Suspensions
Suspensions of self-propelled microscopic particles, such as swimming bacteria, exhibit collective motion leading to remarkable experimentally-observable macroscopic properties. Rigorous mathematical analysis of this emergent behavior can provide significant insight into the mechanisms behind these experimental observations; however, there are many theoretical questions remaining unanswered. In...
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The microscopic network structure of surfactant-stabilized single-wall carbon nanotubes (SWNTs) in water was investigated as a function of SWNT concentration in the semidilute (overlapping) regime using small-angle neutron scattering (SANS). Most of the samples exhibit rigid rod behavior (i.e., Q(-1) intensity variation) at large scattering wavevector, Q, and a crossover to network behavior (i....
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The viscosity, g, of dilute aqueous suspensions of spherical polyelectrolyte brushes is discussed. The spherical polyelectrolyte brushes consist of a solid polystyrene core of 100-nm diameter onto which linear poly(acrylic acid) chains are grafted. The relative viscosity, g/gS (gS is the viscosity of the solvent) of these suspensions is studied as a function of shear rate in the presence of dif...
متن کاملThe Dilute Rheology of Swimming Suspensions: A Simple Kinetic Model
A simple kinetic model is presented for the shear rheology of a dilute suspension of particles swimming at low Reynolds number. If interparticle hydrodynamic interactions are neglected, the configuration of the suspension is characterized by the particle orientation distribution, which satisfies a Fokker-Planck equation including the effects of the external shear flow, rotary diffusion, and par...
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Suspensions of self-propelled particles are studied in the framework of two-dimensional (2D) Stokesean hydrodynamics. A formula is obtained for the effective viscosity of such suspensions in the limit of small concentrations. This formula includes the two terms that are found in the 2D version of Einstein's classical result for passive suspensions. To this, the main result of the paper is added...
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ژورنال
عنوان ژورنال: Multiscale Modeling & Simulation
سال: 2013
ISSN: 1540-3459,1540-3467
DOI: 10.1137/120900575