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We present a method for the evaluation of the interaction potential of an equilibrium classical system starting from the (partial) knowledge of its structure factor. The procedure is divided into two phases both of which are based on the…

Statistical Mechanics · Physics 2012-06-22 Marco D'Alessandro

We present a new method to calculate the total ion-ion interaction potential in terms of building blocks which we refer to as "single-particle interaction potentials". This allows also to compose the separate contributions from neutrons and…

Nuclear Theory · Physics 2012-01-06 A. S. Umar , V. E. Oberacker , J. A. Maruhn , P. -G. Reinhard

The Helmholtz free-energy W is calculated as a function of separation distance for two molecules in a fluid, A and B, whose mutual interaction is described by a spherically symmetric potential. For the equilibrium A + B = AB occurring in a…

Soft Condensed Matter · Physics 2007-05-23 Richard M. Neumann

We devise automated workflows for the calculation of Helmholtz and Gibbs free energies and their temperature and pressure dependence and provide the corresponding computational tools. We employ non-equilibrium thermodynamics for evaluating…

Materials Science · Physics 2021-10-13 Sarath Menon , Yury Lysogorskiy , Jutta Rogal , Ralf Drautz

The accuracy of molecular simulations is fundamentally limited by the interatomic potentials that govern atomic interactions. Traditional potential development, which relies heavily on ab initio calculations, frequently struggles to…

Disordered Systems and Neural Networks · Physics 2025-10-16 Ruoxia Chen , Kai Yang , Morten M. Smedskjaer , N. M. Anoop Krishnan , Jaime Marian , Fabian Rosner

A method is proposed to compute the interfacial free energy of a Lennard-Jones system in contact with a structured wall by molecular dynamics simulation. Both the bulk liquid and bulk face-centered-cubic crystal phase along the (111)…

Statistical Mechanics · Physics 2015-06-04 Ronald Benjamin , Jürgen Horbach

The aim of this paper is to present an analytical calculation of the chemical potential of a Lennard Jones fluid. The integration range is divided into two regions. In the small distance region,which is $r\leq\sigma$ in the usual…

Statistical Mechanics · Physics 2015-05-27 V. Celebonovic

For a given electronic excited state, the 0-0 energy ($T_0$ or $T_{00}$) is the simplest property allowing straightforward and physically-sound comparisons between theory and (accurate) experiment. However, the computation of 0-0 energies…

Chemical Physics · Physics 2020-06-05 Pierre-François Loos , Denis Jacquemin

The dynamical response of metallic clusters up to $10^3$ atoms is investigated using the restricted molecular dynamics simulations scheme. Exemplarily, sodium like material is considered. Correlation functions are evaluated to investigate…

Atomic and Molecular Clusters · Physics 2015-05-28 Thomas Raitza , Heidi Reinholz , Igor Morozov , Gerd Röpke

We propose an adiabatic reweighting algorithm for computing the free energy along an external parameter from adaptive molecular dynamics simulations. The adaptive bias is estimated using Bayes identity and information from all the sampled…

Statistical Mechanics · Physics 2014-04-08 Lingling Cao , Gabriel Stoltz , Tony Lelièvre , Mihai-Cosmin Marinica , Manuel Athènes

Recent advances in machine learning and their applications have lead to the development of diverse structure-property relationship models for crucial chemical properties, and the solvation free energy is one of them. Here, we introduce a…

Machine Learning · Statistics 2021-08-25 Hyuntae Lim , YounJoon Jung

The fundamental problem faced in quantum chemistry is the calculation of molecular properties, which are of practical importance in fields ranging from materials science to biochemistry. Within chemical precision, the total energy of a…

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 use inverse methods of statistical mechanics to explore trade-offs associated with designing interactions to stabilize self-assembled structures against changes in density or temperature. Specifically, we find isotropic,convex-repulsive…

Soft Condensed Matter · Physics 2018-01-10 William D. Piñeros , Michael Baldea , Thomas M. Truskett

Solid solutions, structurally ordered but compositionally disordered mixtures, can form for salts, metals, and even organic compounds. The NaCl-KCl system forms a solid solution at all compositions between 657{\deg}C and 505{\deg}C. Below a…

Statistical Mechanics · Physics 2020-04-16 Jamshed Anwar , Christian Leitold , Baron Peters

The techniques which allow the numerical evaluation of the statistical properties of the potential energy landscape for models of simple liquids are reviewed and critically discussed. Expressions for the liquid free energy and its…

Soft Condensed Matter · Physics 2007-05-23 E. La Nave , S. Mossa , F. Sciortino , P. Tartaglia

The interfacial free energy between a crystal and a fluid, {\gamma} cf, is a highly relevant parameter in phenomena such as wetting or crystal nucleation and growth. Due to the difficulty of measuring {\gamma} cf experimentally, computer…

Statistical Mechanics · Physics 2015-06-23 J. R. Espinosa , C. Vega , E. Sanz

The method of zero-range potentials is generalized to account for the molecular electron excitation process. It is made by a matrix formulation in which a state vector components are associated with a scattering channel. The multi-center…

Quantum Physics · Physics 2009-11-07 S. Leble , S. Yalunin

Many enhanced sampling techniques rely on the identification of a number of collective variables that describe all the slow modes of the system. By constructing a bias potential in this reduced space one is then able to sample efficiently…

Computational Physics · Physics 2019-03-05 Michele Invernizzi , Michele Parrinello

A natural extension of the descriptors used in the Spectral Neighbor Analysis Potential (SNAP) method is derived to treat atomic interactions in chemically complex systems. Atomic environment descriptors within SNAP are obtained from a…

Chemical Physics · Physics 2020-09-09 Mary Alice Cusentino , Mitchell A. Wood , Aidan P. Thompson
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