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Free energy calculations in molecular simulations have a variety of applications including determining the strength of molecular processes such as solvation and binding. It has been recently shown that when removing the VDW and Coulomb…

Chemical Physics · Physics 2015-07-15 Asaf Farhi , Bipin Singh

We analyze deficiencies of commonly used Coulomb approximations in Generalized Born solvation energy calculation models and report a development of a new fast surface-based method (FSBE) for numerical calculations of the solvation energy of…

Quantitative Methods · Quantitative Biology 2009-10-14 P. O. Fedichev , G. N. Getmantsev , L. I. Menshikov

Calculating relative free energies is a topic of substantial interest and has many applications including solvation and binding free energies, which are used in computational drug discovery. However, there remain the challenges of accuracy,…

Chemical Physics · Physics 2016-09-28 Asaf Farhi , Bipin Singh

The hydration free energies of ions exhibit an approximately quadratic dependence on the ionic charge, as predicted by the Born model. We analyze this behavior using second-order perturbation theory. This provides effective methods to…

chem-ph · Physics 2008-02-03 Gerhard Hummer , Lawrence R. Pratt , Angel E. Garcia

Free energies of ionic solvation calculated from computer simulations exhibit a strong system size dependence. We perform a finite-size analysis based on a dielectric-continuum model with periodic boundary conditions. That analysis results…

Chemical Physics · Physics 2009-10-30 Gerhard Hummer , Lawrence R. Pratt , Angel E. Garcia

Recent studies on the solvation of atomistic and nanoscale solutes indicate that a strong coupling exists between the hydrophobic, dispersion, and electrostatic contributions to the solvation free energy, a facet not considered in current…

Statistical Mechanics · Physics 2009-11-11 J. Dzubiella , J. M. J. Swanson , J. A. McCammon

Free energies of molecules can be calculated by quantum computations or by normal mode classical calculations. However, the first can be computationally impractical for large molecules and the second is based on the assumption of harmonic…

Chemical Physics · Physics 2016-03-23 Asaf Farhi

We propose a systematic, {\em a priori} approach to the problem of the calculation of solvation energies using continuum dielectric models coupled to quantum mechanical description of reacting molecules. Our method does not rely on…

Materials Science · Physics 2007-05-23 Sohrab Ismail-Beigi , T. A. Arias , Phillip Marrone , Matthew Reagan , Jefferson W. Tester

Understanding the response of the surface of metallic solids to external electric field sources is crucial to characterize electrode-electrolyte interfaces. Continuum electrostatics offer a simple description of the induced charge density…

Chemical Physics · Physics 2021-12-14 Giovanni Pireddu , Laura Scalfi , Benjamin Rotenberg

In transitions between different environmental settings, a molecular system inevitably undergoes a range of detectable changes, and the ability to accurately simulate such responses, e.g., in the form of shifts to molecular energies,…

Chemical Physics · Physics 2026-01-14 Kasper F. Schaltz , Jonas Greiner , Filippo Lipparini , Janus J. Eriksen

In biological and synthetic materials, many important processes involve charges that are present in a medium with spatially varying dielectric permittivity. To accurately understand the role of electrostatic interactions in such systems, it…

Soft Condensed Matter · Physics 2013-09-30 Vikram Jadhao , Francisco J. Solis , Monica Olvera de la Cruz

In this paper, the authors study the limit of a sharp interface model for the solvation of charged molecules in an implicit solvent as the number of solute molecules and the size of the surrounding box tend to infinity. The energy is given…

Analysis of PDEs · Mathematics 2018-06-14 Janusz Ginster , Peter Gladbach

A model of a finite cylindrical ion channel through a phospholipid membrane of width $L$ separating two electrolyte reservoirs is studied. Analytical solution of the Poisson equation is obtained for an arbitrary distribution of ions inside…

Soft Condensed Matter · Physics 2009-11-11 Yan Levin

The response of polar solvents to ions and polar molecules dictates many fundamental molecular processes. To understand such electrostatically-driven solvation processes, one ideally would probe the dielectric response of a solvent to an…

Chemical Physics · Physics 2025-08-12 Renjie Zhao , Richard C. Remsing , John D. Weeks

Free energy sampling methods allow studying the full dynamics of activated processes. Unfortunately, the affordable accuracy of the potential describing the energy and forces of the system is usually rather low. Here we introduce a new…

Chemical Physics · Physics 2019-04-04 GiovanniMaria Piccini , Michele Parrinello

This review describes the theory and implementation of implicit solvation models based on continuum electrostatics. Within quantum chemistry this formalism is sometimes synonymous with the polarizable continuum model, a particular…

Chemical Physics · Physics 2022-03-15 John M. Herbert

By performing an ensemble of molecular dynamics simulations, the model-dependent ionisation state is computed for strongly interacting systems self-consistently. This is accomplished through a free energy minimisation framework based on the…

Predicting crystal nucleation is among the most significant long--standing challenges in condensed matter. In the system most studied (hard sphere colloids), the comparison between experiments performed using static light scattering and…

Soft Condensed Matter · Physics 2025-06-04 Lars Kürten , Antoine Castagnède , Frank Smallenburg , C. Patrick Royall

We present nonlinear dynamic equations for nematic and smectic $A$ liquid crystals in the presence of an alternating electric field and explain their derivation in detail. The local electric field acting in any liquid-crystalline system is…

Soft Condensed Matter · Physics 2023-06-30 E. S. Pikina , E. I. Kats , A. R. Muratov , V. V. Lebedev

We propose a predictive Density Functional Theory (DFT) for the calculation of solvation free energies. Our approach is based on a Helmholtz free-energy functional that is consistent with the perturbed-chain SAFT (PC-SAFT) equation of…

Chemical Physics · Physics 2021-07-07 Johannes Eller , Tanja Matzerath , Thijs van Westen , Joachim Gross