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

Groß, Markus; Rohwer, Christian M.; Dietrich, S.

doi:10.1103/physreve.100.012114

Cited by 12 publications

(24 citation statements)

References 91 publications

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“…V A 3), which could be utilized to address many-body critical Casimir interactions [59,[82][83][84][85][86]. Furthermore, while we assumed the OP to remain in equilibrium at all times, non-equilibrium scenarios such as OP quenches [31,46,87,88] appear to be a rewarding topic. It is also pertinent to extend the present work towards two and three spatial dimensions, which are the relevant cases for membranes [26-28, 89, 90], interfaces [91][92][93], and colloidal suspensions [5].…”

Section: Discussionmentioning

confidence: 99%

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Dynamics and steady states of a tracer particle in a confined critical fluid

Gross

2021

Preprint

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The dynamics and the steady states of a point-like tracer particle immersed in a confined critical fluid are studied. The fluid is modeled field-theoretically in terms of an order parameter (concentration or density field) obeying dissipative or conservative equilibrium dynamics and (non-)symmetrybreaking boundary conditions. The tracer, which represents, e.g., a colloidal particle, interacts with the fluid by locally modifying its chemical potential or its correlation length. The coupling between tracer and fluid gives rise to a nonlinear and non-Markovian tracer dynamics, which is investigated here analytically and via numerical simulations for a one-dimensional system. From the coupled Langevin equations for the tracer-fluid system we derive an effective Fokker-Planck equation for the tracer by means of adiabatic elimination as well as perturbation theory within a weak-coupling approximation. The effective tracer dynamics is found to be governed by a fluctuation-induced (Casimir) potential, a spatially dependent mobility, and a spatially dependent (multiplicative) noise, the characteristics of which depend on the interaction and the boundary conditions. The steadystate distribution of the tracer is typically inhomogeneous.

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Section: Discussionmentioning

confidence: 99%

“…(3.1)] and non-conserved dynamics (a = 0). In the following, we will also need the correlation function of ∂ z φ: where for periodic BCs can be expressed in terms of the corresponding one for Neumann and Dirichlet BCs [46]:…”

Section: Time-dependent Correlation Functionsmentioning

confidence: 99%

Dynamics and steady states of a tracer particle in a confined critical fluid

Gross

2021

Preprint

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“…PBRs can be designed and optimized to cultivate a chosen microalgal strain; since they occupy minimal landmass with enhanced luminous exposure to the microalgae cells and encounter little or no contamination. However, PBRs do have bio-fouling issues, cleaning difficulties, benthic microalgal growth, and high build-up of dissolved oxygen (DO) leading to growth obstructions, and high capital cost [48,49].…”

Section: Hydrodynamic Stressmentioning

confidence: 99%

Valorization of Lignocellulosic and Microalgae Biomass

Armah¹,

Chetty²,

Adedeji³

et al. 2021

Biotechnological Applications of Biomass

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Lignocellulosic biomass has gained increasing recognition in the past decades for the production of value-added products (VAPs). Biomass feedstocks obtained from various sources, their composition, and pretreatment techniques employed for delignification into bioenergy production are discussed. The conversion processes of biomass into VAPs involve various methods. Notable among them are biochemical conversions; namely, anaerobic digestion and ethanol fermentation, and thermo-chemical conversions; namely, pyrolysis and gasification which are considered in this chapter. Microalgae can adapt to changes in the environment, producing biomass that serves as a precursor for a variety of biomolecules, such as proteins, which find their application in pharmaceutical, cosmetic, and biofuel industries. Suitable strains of freshwater microalgae biomass contain high levels of lipid which can be harnessed for bioenergy production. Hence, the advancement in the conversion of biomass into VAPs could help scientists and environmentalists for sustainable use of biomass in future developments.

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“…If the correlations in the medium are long-ranged, they then give rise to FIFs that can persist between objects at large distances and exhibit a number of universal features [35][36][37][38]. Fluctuation forces have many applications in nanosciences [39] and colloidal systems [40] and they are also prevalent in nonequilibrium and driven settings [41][42][43][44][45][46][47][48][49][50]. For an electrolyte in thermal equilibrium, the spatial range of the FIF is limited by the Debye screening length, which is often of the order of a few nanometers [1,51,52].…”

Section: Introductionmentioning

confidence: 99%

Transient fluctuation-induced forces in driven electrolytes after an electric field quench

Mahdisoltani,

Golestanian

2021

Preprint

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Understanding how electrolyte solutions behave out of thermal equilibrium is a long-standing endeavor in many areas of chemistry and biology. Although mean-field theories are widely used to model the dynamics of electrolytes, it is also important to characterize the effects of fluctuations in these systems. In a previous work, we showed that the dynamics of the ions in a strong electrolyte that is driven by an external electric field can generate long-ranged correlations manifestly different from the equilibrium screened correlations; in the nonequilibrium steady state, these correlations give rise to a novel long-range fluctuation-induced force (FIF). Here, we extend these results by considering the dynamics of the strong electrolyte after it is quenched from thermal equilibrium upon the application of a constant electric field. We show that the asymptotic long-distance limit of both charge and density correlations is generally diffusive in time. These correlations give rise to long-ranged FIFs acting on the neutral confining plates with long-time regimes that are governed by power-law temporal decays toward the steady-state value of the force amplitude. These findings show that nonequilibrium fluctuations have nontrivial implications on the dynamics of objects immersed in a driven electrolyte, and they could be useful for exploring new ways of controlling long-distance forces in charged solutions.

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

Cited by 12 publications

References 91 publications

Dynamics and steady states of a tracer particle in a confined critical fluid

Dynamics and steady states of a tracer particle in a confined critical fluid

Valorization of Lignocellulosic and Microalgae Biomass

Transient fluctuation-induced forces in driven electrolytes after an electric field quench

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