2022
DOI: 10.1209/0295-5075/ac7d0a
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Continuum theories of structured dielectrics

Abstract: Aqueous dielectrics are ubiquitous in soft- and bio-nano matter systems. The theoretical description of such systems in terms of continuum (“macroscopic”) theory remains a serious challenge. In this perspective we first review the existing continuum phenomenological approaches that have been developed in the past decades. In order to describe a path to advance continuum theory beyond these approaches we then take recourse to the Onsager-Dupuis theory of the dielectric behaviour of ice, which, for the case of a… Show more

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Cited by 4 publications
(4 citation statements)
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“…It is useful to put our model in the context of earlier models for structural interactions in liquid dielectrics and results obtained from them. As we have discussed in detail in our review [12], the class of models based entirely on the polarization field has so far largely focused on the ion-free case or single solvated ions. On the other hand, there are the dipolar Poisson-Boltzmann theories built on the single order parameter of the electrostatic potential [16].…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…It is useful to put our model in the context of earlier models for structural interactions in liquid dielectrics and results obtained from them. As we have discussed in detail in our review [12], the class of models based entirely on the polarization field has so far largely focused on the ion-free case or single solvated ions. On the other hand, there are the dipolar Poisson-Boltzmann theories built on the single order parameter of the electrostatic potential [16].…”
Section: Discussionmentioning
confidence: 99%
“…In the development of this theory we were guided by the Onsager-Dupuis theory of the dielectric properties of ice [8][9][10][11]. For a recent perspective on how our work [7] can be placed in the context of earlier theories of polarization, see [12].…”
Section: Introductionmentioning
confidence: 99%
“…Here, we assume a soft passage across the NP boundary described by a switch function ϵ ( r ) = f sw ( R , σ , r ) = ϵ 0 + ϵ e r R ϵ / σ 1 + e r R ϵ / σ depending on a switching of the radius and width, R ϵ and σ. This definition exploits the space locality of the electric response, often used in biosystems, allowing one to evaluate the full dielectric response from atomistic simulations from the space distribution of the solvent or solute . Assuming that the ( r ) profile follows that of the water penetration into the NP as described by ρ wat ( r ), we fit function (eq ) on it (route (iii)).…”
Section: Methods and Theoretical Frameworkmentioning
confidence: 99%
“…This model has been further refined and is frequently interpreted in terms of water-dipole orientational ordering and the nonlocal dielectric water response. It has been noted by Ninham that the relevant water ordering could also be related to the tetrahedrality or changes in the hydrogen-bond network . In fact, the description of the electrostatic and structural interactions in polarizable liquids based on continuum theory is currently regaining significant interest. Although such theoretical models provide conceptual insight and scaling laws for the proposed structural force, what is lacking in the literature is a quantitative comparison of the predicted water-structure profiles and indirect hydration-force magnitudes with real molecular systems. Experimentally, this is difficult because of the presence of the competing direct hydration interactions and because water-structure profiles are experimentally not available for varying surface separations.…”
Section: Introductionmentioning
confidence: 99%