Hydrodynamic stress correlations in fluid films driven by stochastic surface forcing

Mohammadi-Arzanagh, Masoud; Mahdisoltani, Saeed; Podgornik, Rudolf; Naji, Ali

doi:10.1103/physrevfluids.3.064201

Cited by 4 publications

(4 citation statements)

References 46 publications

(174 reference statements)

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“…In the limit of a large observation length scale relative to ξ, i.e., |x|/ξ → ∞, the terms k 2 κ in the time integral in Eq. (28) [see also Eq. ( 30)] can be dropped, and the integral can be carried out explicitly.…”

Section: Correlations Between Spatially Fixed Pointsmentioning

confidence: 99%

“…These nonequilibrium LRCs, in turn, give rise to associated non-equilibrium fluctuation-induced forces. Such forces have been studied theoretically for systems with gradients in temperature [22][23][24] or density [25], quenched systems [26,27], stochastically driven systems [28], in systems under shear [29,30], and within fluctuating hydrodynamics [31].…”

Section: Introductionmentioning

confidence: 99%

“…These nonequilibrium LRCs, in turn, give rise to associated nonequilibrium fluctuation-induced forces. Such forces have been studied theoretically for systems with gradients in temperature [22][23][24] or density [25], quenched systems [26,27], stochastically driven systems [28], in systems under shear [29,30], and within fluctuating hydrodynamics [31]. * crohwer@is.mpg.de Here, we aim at studying correlations and forces in fluid systems undergoing up to two non-equilibrium perturbations simultaneously, i.e., shearing and quenching.…”

Section: Introductionmentioning

confidence: 99%

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Correlations and forces in sheared fluids with or without quenching

et al. 2019

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Spatial correlations play an important role in characterizing material properties related to non-local effects. Inter alia, they can give rise to fluctuation-induced forces. Equilibrium correlations in fluids provide an extensively studied paradigmatic case, in which their range is typically bounded by the correlation length. Out of equilibrium, conservation laws have been found to extend correlations beyond this length, leading, instead, to algebraic decays. In this context, here we present a systematic study of the correlations and forces in fluids driven out of equilibrium simultaneously by quenching and shearing, both for non-conserved as well as for conserved Langevin-type dynamics. We identify which aspects of the correlations are due to shear, due to quenching, and due to simultaneously applying both, and how these properties depend on the correlation length of the system and its compressibility. Both shearing and quenching lead to long-ranged correlations, which, however, differ in their nature as well as in their prefactors, and which are mixed up by applying both perturbations. These correlations are employed to compute non-equilibrium fluctuation-induced forces in the presence of shear, with or without quenching, thereby generalizing the framework set out by Dean and Gopinathan. These forces can be stronger or weaker compared to their counterparts in unsheared systems. In general, they do not point along the axis connecting the centers of the small inclusions considered to be embedded in the fluctuating medium. Since quenches or shearing appear to be realizable in a variety of systems with conserved particle number, including active matter, we expect these findings to be relevant for experimental investigations.instance, to uniaxial magnetic systems, model B describes binary alloys, spinodal dynamics of binary liquid mixtures, as well as single-component fluids [32,33]. These models have been applied extensively in describing various dynamical situations, e.g. the approach of the critical point from non-equilibrium initial conditions [34][35][36][37], the coarsening following a temperature quench [38,39], or for driven systems at criticality [40,41]. They have also been used to study shearing of near-critical fluids [42][43][44][45][46][47][48], leading to a large variety of phenomena.The use of such models provides generic scenarios, which we expect to be relevant for physical systems which allow for shearing and/or quenching. Shear is directly experimentally accessible [49]. Quenches can also be realized, for instance by using effective interactions of particles which can be changed suddenly, e.g. by swelling particles [50] or through external fields [51]. Another type of quench concerns a sudden change of temperature, which is a perturbation often employed in order to obtain supercooled liquids [52]. Such quenches of temperature (or of noise strength) may be achieved experimentally also in active fluids [53][54][55], which in many respects can be described by the use of effective temperatures [27,56...

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Section: Correlations Between Spatially Fixed Pointsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Correlations and forces in sheared fluids with or without quenching

et al. 2019

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“…sheared systems [28,29], far-from-critical fluids undergoing quenches of their temperature or activity [30,31] as well as shear flow [32], and stochastically driven systems [33].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of the critical Casimir force for a conserved order parameter after a critical quench

2019

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Fluctuation-induced forces occur generically when long-ranged correlations (e.g., in fluids) are confined by external bodies. In classical systems, such correlations require specific conditions, e.g., a medium close to a critical point. On the other hand, long-ranged correlations appear more commonly in certain non-equilibrium systems with conservation laws. Consequently, a variety of non-equilibrium fluctuation phenomena, including fluctuation-induced forces, have been discovered and explored recently. Here, we address a long-standing problem of non-equilibrium critical Casimir forces emerging after a quench to the critical point in a confined fluid with order-parameterconserving dynamics and non-symmetry-breaking boundary conditions. The interplay of inherent (critical) fluctuations and dynamical non-local effects (due to density conservation) gives rise to striking features, including correlation functions and forces exhibiting oscillatory time-dependences. Complex transient regimes arise, depending on initial conditions and the geometry of the confinement. Our findings pave the way for exploring a wealth of non-equilibrium processes in critical fluids (e.g., fluctuation-mediated self-assembly or aggregation). In certain regimes, our results are applicable to active matter. * gross@is.mpg.de arXiv:1905.00269v2 [cond-mat.stat-mech]

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Scaling law of correlated diffusion of colloidal particles confined to a rugged surface

2023

Physics of Fluids

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Using optical microscopy and multiparticle tracking techniques, we investigate the correlated diffusion of colloidal particles over a rugged surface. Our findings demonstrate that the correlated diffusion caused by the hydrodynamic interactions of particles confined to energy landscapes displays a distinctive power-law behavior. The local energy landscape on the rugged surface reduces the long-range hydrodynamic interactions between colloidal particles. The energy landscape influences the strength of hydrodynamic interactions, but not their power-law form. The responding factor of the colloidal particles over the energy landscape to hydrodynamics decays exponentially with the potential energy minimum. We propose a scaling method, with which the correlated diffusion of colloidal particles over various energy landscapes can be scaled onto a master curve. The master curve characterizes the response of the particles over the energy landscape to the hydrodynamics. The scale factors used for the master curve allow for the calculation of the energy landscape. The findings provide physical insights into the confinement hydrodynamics and would be helpful for designing material surfaces and controlling the motion of particles on rough surfaces.

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Hydrodynamic stress correlations in fluid films driven by stochastic surface forcing

Cited by 4 publications

References 46 publications

Correlations and forces in sheared fluids with or without quenching

Correlations and forces in sheared fluids with or without quenching

Dynamics of the critical Casimir force for a conserved order parameter after a critical quench

Scaling law of correlated diffusion of colloidal particles confined to a rugged surface

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