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We present an accurate free-energy functional for liquid water written in terms of a set of effective potential fields in which fictitious noninteracting water molecules move. The functional contains an \emph{exact} expression of the…

Soft Condensed Matter · Physics 2011-04-19 Johannes Lischner , T. A. Arias

Treating water as a linearly responding dielectric continuum on molecular length scales allows very simple estimates of solvation structure and thermodynamics for charged and polar solutes. While this approach can successfully account for…

Statistical Mechanics · Physics 2021-07-07 Stephen J. Cox , Kranthi K. Mandadapu , Phillip L. Geissler

Classical density-functional theory is the most direct approach to equilibrium structures and free energies of inhomogeneous liquids, but requires the construction of an approximate free-energy functional for each liquid of interest. We…

Soft Condensed Matter · Physics 2014-10-10 Ravishankar Sundararaman , Kendra Letchworth-Weaver , T A Arias

Can we avoid molecular dynamics simulations to estimate the electrostatic interaction between charged objects separated by a nanometric distance in water? To answer this question, we develop a continuous model for the dielectric properties…

Soft Condensed Matter · Physics 2020-05-05 M. Vatin , A. Porro , N. Sator , J-F. Dufrêche , H. Berthoumieux

Solvation free energy is an important quantity in Computational Chemistry with a variety of applications, especially in drug discovery and design. The accurate prediction of solvation free energies of small molecules in water is still a…

Biological Physics · Physics 2007-05-23 A. Hildebrandt , O. Kohlbacher , R. Blossey , H. -P. Lenhof

Classical density-functional theory provides an efficient alternative to molecular dynamics simulations for understanding the equilibrium properties of inhomogeneous fluids. However, application of density-functional theory to multi-site…

Computational Physics · Physics 2014-02-14 Ravishankar Sundararaman , T. A. Arias

Within the framework of Gaussian equivalent representation method a new procedure of obtaining equations of state for simple liquids is discussed in some technical details. The developed approach permits one to compute partition and…

Statistical Mechanics · Physics 2009-12-15 Dima Bolmatov

A new Hamiltonian formulation for the fully nonlinear water-wave problem over variable bathymetry is derived, using an exact, vertical series expansion of the velocity potential, in conjunction with Luke's variational principle. The…

Fluid Dynamics · Physics 2017-04-14 Christos Papoutsellis , Gerassimos Athanassoulis

We study the chemical potential of water as a function of charge based on perturbation theory. By calculating the electrostatic-energy fluctuations of two states (fully charged and uncharged) we are able to determine accurate values for the…

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

We present a simulation protocol that allows for efficient sampling of the degrees of freedom of a solute in explicit solvent. The protocol involves using a non-equilibrium umbrella sampling method, in this case the recently developed…

Chemical Physics · Physics 2010-03-16 Volodymyr Babin , Celeste Sagui

Accurate treatment of the electronic correlation in inhomogeneous electronic systems, combined with the ability to capture the correlation energy of the homogeneous electron gas, allows to reach high predictive power in the application of…

Strongly Correlated Electrons · Physics 2010-06-22 E. Rasanen , S. Pittalis , C. R. Proetto

We compute ionic free energy adsorption profiles at aqueous graphene interface by developing a self-consistent approach. To do so, we design a microscopic model for water and put the liquid on an equal footing with the graphene described by…

Soft Condensed Matter · Physics 2023-03-01 Anton Robert , Hélène Berthoumieux , Marie-Laure Bocquet

We present a recently developed one-dimensional dipole lattice model that accurately captures the key properties of water in narrow nanopores. For this model, we derive three equivalent representations of the Hamiltonian that together yield…

Chemical Physics · Physics 2015-05-13 Jürgen Köfinger , Gerhard Hummer , Christoph Dellago

Many equations that arise in a physical context can be posed in the form of a Hamiltonian system, meaning that there is a symplectic structure on an appropriate phase space, and a Hamiltonian functional with respect to which time evolution…

Analysis of PDEs · Mathematics 2017-01-18 Walter Craig

Last years, there has been a renewed interest in the utilization of statistical field theory methods for the description of systems at equilibrium both in the vicinity and away from critical points, in particular in the field of liquid…

Statistical Mechanics · Physics 2012-07-02 Vincent Russier , Jean-Michel Caillol

A reduced dynamical model is derived which describes the interaction of weak inertia-gravity waves with nonlinear vortical motion in the context of rotating shallow-water flow. The formal scaling assumptions are (i) that there is a…

chao-dyn · Physics 2009-10-28 Caroline Nore , Theodore G. Shepherd

A microscopic model able to describe simultaneously the dynamic viscosity and the self-diffusion coefficient of fluids is presented. This model is shown to emerge from the introduction of fractional calculus in a usual model of condensed…

Statistical Mechanics · Physics 2021-11-24 F. Aitken , F. Volino

Previously, it has been shown that the direct correlation function for a Lennard-Jones fluid could be modeled by a sum of that for hard-spheres, a mean-field tail and a simple linear correction in the core region constructed so as to…

Statistical Mechanics · Physics 2008-08-20 James F. Lutsko

Ensuring a satisfactory statistical convergence of anharmonic thermodynamic properties requires sampling of many atomic configurations, however the methods to obtain those necessarily produce correlated samples, thereby reducing the…

Statistical Mechanics · Physics 2022-06-07 Erki Metsanurk

A new mathematical model for non-equilibrium evaporation/condensation including boiling effect is proposed. A simplified differential-algebraic system of equations is obtained. A code to solve numerically this differential-algebraic system…

Statistical Mechanics · Physics 2018-03-09 B. V. Librovitch , A. F. Nowakowski , F. C. G. A. Nicolleau , T. M. Michelitsch
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