Collective hydrodynamics

Collective hydrodynamical interactions. We have seen that the long-range hydrodynamical force is diverging at small wave numbers this suggests very much that one should consider... 

In dense fluids an additional complication appears, connected with the hydrodynamic nature of the slow collective motion that the molecule performs together with its neighbourhood. According to [59] it results in rather general asymptotic decay Kj(t) oc t 5/2 at times much larger than... 

TOWARDS THE HYDRODYNAMIC LIMIT STRUCTURE FACTORS AND SOUND DISPERSION. The collective motions of water molecules give rise to many hydrodynamical phenomena observable in the laboratories. They are most conveniently studied in terms of the spatial Fourier ( ) components of the density, particle currents, stress, and energy fluxes. The time correlation function of those Fourier components detail the decay of density, current, and fluctuation on the length scale of the Ijk. 

Since hydrodynamic interactions are included in MPC dynamics, the collective motion of many self-propelled objects can be studied using this mesoscopic simulation method. 

In the side-by-side configuration of donor and receiver chambers of equal volume in which stirring is usually achieved by bubbling an 02-C02 mixture at various flow rates, the hydrodynamics are symmetrical, and samples can be readily collected without interruption. Therefore,... 

Theoretical Outline — Collective Diffusion and Screening of Hydrodynamic Interactions... 

Chemical mass is redistributed within a groundwater flow regime as a result of three principal transport processes advection, hydrodynamic dispersion, and molecular diffusion (e.g., Bear, 1972 Freeze and Cherry, 1979). Collectively, they are referred to as mass transport. The nature of these processes and how each can be accommodated within a transport model for a multicomponent chemical system are described in the following sections. 

However, it is clear that this diagram alone cannot describe any kind of long-range hydrodynamical correlations because, as is obvious from the discussion given in the previous section, this effect can only come from a collective description of the solvent. 

Figure 9.1 Schematic representation of a basic capillary electrophoresis system. The main components include a capillary (commonly contained within a housing that allows for temperature control), a power supply, and a detector. Automation is achieved through the use of computer-controlled setting of solutions and samples, displacement forces (to replace capillary contents and for hydrodynamic injection), and automatic data collection. (Courtesy of Agilent Technologies.)...

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