Hydrodynamic fluctuation forces

Ivlev, B I

doi:10.1088/0953-8984/14/19/310

Cited by 10 publications

(17 citation statements)

References 80 publications

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“…͑15͒, in this case V FL ϭ(T/2)ln R in accordance with Ref. 24. In the limit ⍀ 0 →0 and ⍀→0 the fluctuation energy ͑16͒ is zero 25 since, in this case, particle positions are marked only by mass difference and an energy of thermal fluctuation does not depend on mass ͑a dynamical parameter͒.…”

Section: ͑15͒supporting

confidence: 86%

Compression fluctuations of chain molecules

Cárdenas

2003

The Journal of Chemical Physics

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Thermal compression fluctuations of a long molecule, like DNA, are accounted when a bead is attached to the end of the molecule. When the bead is acted by some trapping ͑attractive͒ potential produced, for example, by optical tweezers, this potential can be essentially renormalized due to compression thermal fluctuations of the long molecule. The effective potential may turn over into a repulsive one for a sufficiently long molecule. The effect should be taken into account for an analysis of bead fluctuations.

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Section: ͑15͒supporting

confidence: 86%

Compression fluctuations of chain molecules

Cárdenas

2003

The Journal of Chemical Physics

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“…where m 2 = k 2 + λ 2 and λ is the longitudinal decay constant defined in Eq. (41). We will substitute this result into Eqs.…”

Section: Infinite Fluidmentioning

confidence: 99%

“…While this latter argument is appropriate in electrodynamics, because an infinite frequency corresponds to the vacuum, it is not reasonable in hydrodynamics, where the whole basis of the continuum hydrodynamic theory breaks down before any such limit could be enforced [33]. Therefore, both approaches to the problem of hydrodynamic Casimir-like interactions have strong limitations and subsequent developments failed to conclusively prove either point of view [41].…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic fluctuation-induced forces in confined fluids

et al. 2016

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We study thermal, fluctuation-induced hydrodynamic interaction forces in a classical, compressible, viscous fluid confined between two rigid, planar walls with no-slip boundary conditions. We calculate hydrodynamic fluctuations using the linearized, stochastic Navier-Stokes formalism of Landau and Lifshitz. The mean fluctuation-induced force acting on the fluid boundaries vanishes in this system, so we evaluate the two-point, time-dependent force correlations. The equal-time correlation function of the forces acting on a single wall gives the force variance, which we show to be finite and independent of the plate separation at large inter-plate distances. The equal-time, cross-plate force correlation, on the other hand, decays with the inverse inter-plate distance and is independent of the fluid viscosity at large distances; it turns out to be negative over the whole range of plate separations, indicating that the two bounding plates are subjected to counter-phase correlations. We show that the time-dependent force correlations exhibit damped temporal oscillations for small plate separations and a more irregular oscillatory behavior at large separations. The long-range hydrodynamic correlations reported here represent a "secondary Casimir effect", because the mean fluctuation-induced force, which represents the primary Casimir effect, is absent.

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“…On the theoretical side, different models have been proposed to try to explain the origin of attractive interaction in the micrometer size range of quasi-two-dimensional colloidal systems confined at fluid-fluid interfaces, some based on capillary interactions [25,26], others on capillary wave fluctuations [27]. However, no theory to date can explain the origin of the attractive forces convincingly.…”

Section: Introductionmentioning

confidence: 99%