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Here “local” means to be localized at a unit volume after coarse graining
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Here “local” means to be localized at a unit volume after coarse graining.
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38
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85037192810
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The two-fluid model bridges a microscopic model of polymer solutions and a macroscopic time-dependent Ginzburg-Landau model. As in the case of a fluid model 1, we need to renormalize the bare transport coefficient by taking into account the effects of mode couplings between (Formula presented) and (Formula presented). This problem will be discussed elsewhere
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The two-fluid model bridges a microscopic model of polymer solutions and a macroscopic time-dependent Ginzburg-Landau model. As in the case of a fluid model 1, we need to renormalize the bare transport coefficient by taking into account the effects of mode couplings between (Formula presented) and (Formula presented). This problem will be discussed elsewhere.
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45
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85037247427
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There is a naive problem of whether we should take (Formula presented) or (Formula presented) as the characteristic rheological time to define a viscoelastic length. Here we argue that we should take (Formula presented) for the present problem, since the diffusion process is directly coupled to the volume deformation (Formula presented) which produces the bulk relaxation modulus. On the other hand, when we consider shear effects, we should take (Formula presented) as the characteristic time. This problem will be discussed in detail elsewhere
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There is a naive problem of whether we should take (Formula presented) or (Formula presented) as the characteristic rheological time to define a viscoelastic length. Here we argue that we should take (Formula presented) for the present problem, since the diffusion process is directly coupled to the volume deformation (Formula presented) which produces the bulk relaxation modulus. On the other hand, when we consider shear effects, we should take (Formula presented) as the characteristic time. This problem will be discussed in detail elsewhere.
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50
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0001474295
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edited by R. H. Ottewill and A. R. Rennie Kluwer, London
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It is worth noting here that shear-induced flocculation can be irreversible. The mechanism of irreversible shear-induced aggregation [see, e.g., J. W. Goodwin and J. D. Mercer-Chalmers, in Modern Aspects of Colloidal Dispersions, edited by R. H. Ottewill and A. R. Rennie (Kluwer, London, 1998), pp. 61–75] is usually discussed in terms of the competition between interparticle interactions and stress applied by the shear fields. According to the Derjaquin-Landau-Verwey-Overbeek (DLVO) theory, a particle interaction from another particle encounters some barrier before it feels strongly attractive. The shear stress helps a particle to pass this barrier especially along the compression axis. Once a particle comes close to another particle passing the barrier, the pair becomes very stable. This apparently leads to irreversible flocculation, when the barrier height (Formula presented). Here we do not discuss such an irreversible flocculation, which is beyond the scope of this paper. Thus we consider only a homogeneous colloidal suspension near its two-phase region.
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Modern Aspects of Colloidal Dispersions
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Goodwin, J.W.1
Mercer-Chalmers, J.D.2
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