A comprehensive continuum theory of structured liquids
arXiv:2206.03152 · doi:10.1088/1751-8121/acb40c
Abstract
We develop a comprehensive continuum model capable of treating both electrostatic and structural interactions in liquid dielectrics. Starting from a two-order parameter description in terms of charge density and polarization, we derive a field-theoretic model generalizing previous theories. Our theory explicitly includes electrostatic and structural interactions in the bulk of the liquid and allows for polarization charges within a Drude model. In particular, we develop a detailed description of the boundary conditions which include the charge regulation mechanism and surface polarization. The general features for solving the saddle-point equations of our model are elucidated and future applications to predict and validate experimental results are outlined.
arXiv comment19 pages; accepted for publication in J. Phys. A
References in corpus (10)
- Dipolar Poisson-Boltzmann Equation: Ions and Dipoles Close to Charged Surfaces
- Charge Regulation with Fixed and Mobile Charges
- Dipolar Poisson-Boltzmann Approach to Ionic Solutions: A Mean Field and Loop Expansion Analysis
- The nonlocal dielectric response of water in nanoconfinement
- Simulating nanoscale dielectric response
- Modified Poisson-Boltzmann equations and macroscopic forces in inhomogeneous ionic fluids
- Microscopic formulation of non-local electrostatics in polar liquids embedding polarizable ions
- Statistical field theory of ion-molecular solutions
- Electrostatic interactions mediated by polarizable counterions: weak and strong coupling limits
- Continuum theories of structured dielectrics