Continuum theories of structured dielectrics
arXiv:2206.01789 · doi:10.1209/0295-5075/ac7d0a
Abstract
Aequous 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 solid dielectric, exemplified important conceptual issues we deem relevant for the development of a more fundamental continuum theory of liquid dielectrics. Subsequently, we discuss our recently proposed continuum field theory of structured dielectrics, which provides a generalized approach to the dielectric behavior of such systems.
arXiv comment7 pages, 2 figures
References in corpus (11)
- Steric Effects in Electrolytes: A Modified Poisson-Boltzmann Equation
- Dipolar Poisson-Boltzmann Equation: Ions and Dipoles Close to Charged Surfaces
- Dielectric decrement as a source of ion specific effects
- A novel formulation of nonlocal electrostatics
- Water under extreme confinement in graphene: Oscillatory dynamics, structure, and hydration pressure explained as a function of the confinement width
- The nonlocal dielectric response of water in nanoconfinement
- Simulating nanoscale dielectric response
- Microscopic formulation of non-local electrostatics in polar liquids embedding polarizable ions
- A minimizing principle for the Poisson-Boltzmann equation
- Gaussian field model for polar fluids as a function of density and polarization: toward a model for water
- Ion Solvation in Dipolar Poisson models in a dual view