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Beyond the dielectric continuum description initiated by Marcus theory, the nowadays standard theoretical approach to study electron transfer (ET) reactions in solution or at interfaces is to use classical force field or ab initio Molecular…

We extend results developed by Chandler [J. Chem. Phys. 65, 2925 (1976)] for the dielectric constant of neutral site-site molecular models to mixtures of both charged and uncharged molecules. This provides a unified derivation connecting…

Statistical Mechanics · Physics 2009-07-17 Jocelyn M. Rodgers , John D. Weeks

A new method is proposed for integrating the equations of motion of an elastic filament. In the standard finite-difference and finite-element formulations the continuum equations of motion are discretized in space and time, but it is then…

Computational Physics · Physics 2009-11-13 Anthony JC Ladd , Gaurav Misra

The molecular structure of moving contact lines (MCLs) and the emergence of a corresponding macroscopic dissipation have made the MCL a paradigm of fluid dynamics. Through novel averaging techniques that remove capillary waves smearing we…

Soft Condensed Matter · Physics 2022-11-02 Amal K. Giri , Paolo Malgaretti , Dirk Peschka , Marcello Sega

For the problem of molecular solvation, formulated as a liquid submitted to the external potential field created by a molecular solute of arbitrary shape dissolved in that solvent, we draw a connection between the Gaussian field theory…

Chemical Physics · Physics 2017-10-04 V. Sergiievskyi , M. Levesque , B. Rotenberg , D. Borgis

Polymeric ionic liquids are emerging polyelectrolyte materials for modern electrochemical applications. In this paper, we propose a self-consistent field theory of the polymeric ionic liquid on a charged conductive electrode. Taking into…

Soft Condensed Matter · Physics 2022-02-02 Yury A. Budkov , Nikolai N. Kalikin , Andrei L. Kolesnikov

We investigate dielectric saturation and increment in polar liquids under external fields. We couple a previously introduced dipolar solvent model to a uniform electric field and derive the electrostatic kernel of interacting dipoles. This…

Soft Condensed Matter · Physics 2015-09-30 Sahin Buyukdagli

The electric dipole moments of $(H_{2}O)_{n}DCl$ ($n=3-9$) clusters have been measured by the beam deflection method. Reflecting the (dynamical) charge distribution within the system, the dipole moment contributes information about the…

Atomic and Molecular Clusters · Physics 2015-02-06 Nicholas Guggemos , Petr Slavíček , Vitaly V. Kresin

The lattice field theory approach to the statistical mechanics of a classical Coulomb gas [R. Coalson and A. Duncan, J. Chem. Phys. 97,5653(1992)] is generalized to include charged polymer chains. Saddle-point analysis is done on the…

Condensed Matter · Physics 2007-05-23 R. D. Coalson , A. Duncan , S. Tsonchev

We present a simulation method to study electrolyte solutions in a dielectric slab geometry using a modified 3D Ewald summation. The method is fast and easy to implement, allowing us to rapidly resum an infinite series of image charges. In…

Soft Condensed Matter · Physics 2015-08-12 Alexandre P. dos Santos , Yan Levin

The increasing number of experimental observations on highly concentrated electrolytes and ionic liquids show qualitative features that are distinct from dilute or moderately concentrated electrolytes, such as self-assembly, multiple-time…

Chemical Physics · Physics 2018-02-08 Nir Gavish , Doron Elad , Arik Yochelis

The response of an isolated granular fluid to small perturbations of the hydrodynamic fields is considered. The corresponding linear response functions are identified in terms of a formal solution to the Liouville equation including the…

Statistical Mechanics · Physics 2015-05-14 James W. Dufty

In this perspective we consider how modern statistical mechanics and response theory can be applied to understand the response of polar molecules to an applied electric field and the fluctuations in these systems. Results that are…

Statistical Mechanics · Physics 2024-01-08 Debra J. Searles , Stephen Sanderson

A novel energy minimization formulation of electrostatics that allows computation of the electrostatic energy and forces to any desired accuracy in a system with arbitrary dielectric properties is presented. An integral equation for the…

Classical Physics · Physics 2009-11-13 O. I. Obolensky , T. P. Doerr , R. Ray , Yi-Kuo Yu

The phenomenon of linear motion of conductor in a magnetic field is commonly found in electric machineries such as, electromagnetic brakes, linear induction motor, electromagnetic flowmeter etc. The design and analysis of the same requires…

Numerical Analysis · Mathematics 2023-07-13 Sujata Bhowmick , Sethupathy Subramanian

We introduce a new approach to derive mean-field limits for first- and second-order particle systems with singular interactions. It is based on a duality approach combined with the analysis of linearized dual correlations, and it allows to…

Analysis of PDEs · Mathematics 2025-02-12 Didier Bresch , Mitia Duerinckx , Pierre-Emmanuel Jabin

We present a review of our recent work in extending the successful dynamical mean-field theory from the equilibrium case to nonequilibrium cases. In particular, we focus on the problem of turning on a spatially uniform, but possibly time…

Strongly Correlated Electrons · Physics 2008-08-14 V. Turkowski , J. K. Freericks

Periodic supercell models of electric double layers formed at the interface between a charged surface and an electrolyte are subject to serious finite size errors and require certain adjustments in the treatment of the long-range…

Chemical Physics · Physics 2024-07-10 Thomas Sayer , Chao Zhang , Michiel Sprik

We present an exact field theoretical representation of an ionic solution made of charged hard spheres. The action of the field theory is obtained by performing a Hubbard-Stratonovich transform of the configurational Boltzmann factor. It is…

Statistical Mechanics · Physics 2009-11-10 Jean-Michel Caillol

The dielectric response of nano-confined fluids is crucial across technologies and biological systems, yet its calculation and interpretation from molecular simulations are often muddled by unclear boundary conditions. We re-derive the…

Soft Condensed Matter · Physics 2026-05-06 Philipp Stärk , Henrik Stooß , Philip Loche , Douwe Jan Bonthuis , Roland R. Netz , Alexander Schlaich