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This work presents a rigorous statistical mechanical theory of solvation free energies, specifically useful for describing the long-range nature of ions in an electrolyte solution. The theory avoids common issues with field theories by…

Statistical Mechanics · Physics 2017-12-29 David M. Rogers

We present a theory that accurately describes the counting of excited states of a noninteracting fermionic gas. At high excitation energies the results reproduce Bethe's theory. At low energies oscillatory corrections to the many--body…

Nuclear Theory · Physics 2009-11-10 P. Leboeuf , A. G. Monastra , A. Relano

The Poisson-Boltzmann mean-field description of ionic solutions has been successfully used in predicting charge distributions and interactions between charged macromolecules. While the electrostatic model of charged fluids, on which the…

Soft Condensed Matter · Physics 2014-04-22 Dan Ben-Yaakov , David Andelman , Daniel Harries , Rudi Podgornik

Within the Poisson-Boltzmann (PB) approach electrolytes in contact with planar, spherical, and cylindrical electrodes are analyzed systematically. The dependences of their capacitance $C$ on the surface charge density $\sigma$ and the ionic…

Soft Condensed Matter · Physics 2017-04-24 Andreas Reindl , Markus Bier , S. Dietrich

Near-critical thermodynamics in the hard-sphere (1,1) electrolyte is well described, at a classical level, by Debye-Hueckel (DH) theory with (+,-) ion pairing and dipolar-pair-ionic-fluid coupling. But DH-based theories do not address…

Condensed Matter · Physics 2009-10-28 Benjamin P. Lee , Michael E. Fisher

The electrostatic double layer force is key to determining the stability and self-assembly of charged colloids and many other soft matter systems. Fully understanding the attractive force between two like-charged surfaces remains a great…

Soft Condensed Matter · Physics 2024-02-27 Nikhil R. Agrawal , Ravtej Kaur , Carlo Carraro , Rui Wang

We generalize the predictions for attractions between over-all neutral surfaces induced by charge fluctuations/correlations to non-uniform systems that include dielectric discontinuities, as is the case for mixed charged lipid membranes in…

Soft Condensed Matter · Physics 2009-10-31 Rebecca Menes , Philip Pincus , Bean Stein

We study many interacting Brownian particles under a tilted periodic potential. We numerically measure the linear response coefficient of the density field by applying a slowly varying potential transversal to the tilted direction. In…

Statistical Mechanics · Physics 2009-03-02 Takenobu Nakamura , Shin-ichi Sasa

The electrostatic potential of a highly charged disc (clay platelet) in an electrolyte is investigated in detail. The corresponding non-linear Poisson-Boltzmann (PB) equation is solved numerically, and we show that the far-field behaviour…

Soft Condensed Matter · Physics 2009-11-10 R. Agra , E. Trizac , L. Bocquet

Charge regulation is a fundamental mechanism in most chemical, geochemical, and biochemical systems. Various minerals surfaces and proteins are well-known to change their charge state as a function of the activity of the hydronium ions,…

Soft Condensed Matter · Physics 2021-06-29 Martin Trulsson

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…

Soft Condensed Matter · Physics 2021-08-11 Saeed Mahdisoltani , Ramin Golestanian

A full quantum theory beyond the mean-field regime is developed for an exciton polariton condensate, to gain a complete understanding of quantum fluctuations. We find analytical solution for the polariton density matrix, showing the…

Mesoscale and Nanoscale Physics · Physics 2022-04-29 Zhedong Zhang , Shixuan Zhao , Dangyuan Lei

Based on a Debye-Hueckel approach to the one-component plasma we propose a new free energy for incorporating ionic correlations into Poisson-Boltzmann like theories. Its derivation employs the exclusion of the charged background in the…

Soft Condensed Matter · Physics 2009-10-31 Marcia C. Barbosa , Markus Deserno , Christian Holm

We report an ab initio evaluation of the surface energy of a simple metal, performed via a coupling-constant integration over the dynamical density-response function. The rapid rate of change of the electron density at the surface is…

Materials Science · Physics 2009-10-30 J. M. Pitarke , A. G. Eguiluz

Three analytic results are proposed for a linear form of the modified Poisson-Boltzmann equation in the theory of bulk electrolytes. Comparison is also made with the mean spherical approximation results. The linear theories predict a…

Statistical Mechanics · Physics 2019-06-28 C. W. Outhwaite , L. B. Bhuiyan

We address the effects of chain connectivity on electrostatic fluctuations in polyelectrolyte solutions using a field-theoretic, renormalized Gaussian fluctuation (RGF) theory. As in simple electrolyte solutions (Z.-G. Wang, Phys. Rev. E.…

Statistical Mechanics · Physics 2017-04-05 Kevin Shen , Zhen-Gang Wang

We present a theory that enables us to calculate the effective surface charge of colloidal particles and to efficiently obtain titration curves for different salt concentrations. The theory accounts for the shift of pH of solution due to…

Soft Condensed Matter · Physics 2022-11-01 Amin Bakhshandeh , Derek Frydel , Yan Levin

This work investigates electroviscous effects in presence of charge-dependent slip in steady pressure-driven laminar flow of a symmetric (1:1) electrolyte liquid through a uniformly charged slit contraction - expansion (4:1:4) microfluidic…

Fluid Dynamics · Physics 2022-08-24 Jitendra Dhakar , Ram Prakash Bharti

We derive a relationship for the electric field dependent ionic conductivity in terms of fluctuations of time integrated microscopic variables. We demonstrate this formalism with molecular dynamics simulations of solutions of differing…

Statistical Mechanics · Physics 2020-05-27 Dominika Lesnicki , Chloe Y. Gao , Benjamin Rotenberg , David T. Limmer

We study salt-induced charge overcompensation and charge inversion of flexible polyelectrolytes via computer simulations and demonstrate the importance of ion excluded volume. Reentrant condensation takes place when the ion size is…

Soft Condensed Matter · Physics 2008-06-26 Pai-Yi Hsiao
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