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We present a method for computing free-energy differences using thermodynamic integration with a neural network potential that interpolates between two target Hamiltonians. The interpolation is defined at the sample distribution level, and…

Statistical Mechanics · Physics 2025-03-26 Bálint Máté , François Fleuret , Tristan Bereau

A novel thermodynamic integration (TI) scheme is presented to compute the crystal-liquid interfacial free energy ($\gamma_{\rm cl}$) from molecular dynamics simulation. The scheme is applied to a Lennard-Jones system. By using extremely…

Soft Condensed Matter · Physics 2015-06-19 Ronald Benjamin , Jürgen Horbach

Using normalizing flows and reweighting, Boltzmann Generators enable equilibrium sampling from a Boltzmann distribution, defined by an energy function and thermodynamic state. In this work, we introduce Thermodynamic Interpolation (TI),…

Chemical Physics · Physics 2024-11-18 Selma Moqvist , Weilong Chen , Mathias Schreiner , Feliks Nüske , Simon Olsson

A novel thermodynamic integration (TI) scheme is presented that allows computing the free energy of grain boundaries (GBs) in crystals from atomistic computer simulation. Unlike previous approaches, the method can be applied at arbitrary…

Statistical Mechanics · Physics 2018-09-12 Saswati Ganguly , Jürgen Horbach

Thermodynamic Integration (TI) is the state-of-the-art computational technique for accurate Gibbs free energy predictions of solids. Conventional TI schemes start from an NVT harmonic reference and require three successive corrections to…

A thermodynamic integration (TI) protocol incorporating dummy atoms is introduced to calculate free energy differences for disulfide bond formation in proteins. This method successfully reproduces experimental redox potentials for multiple…

Biological Physics · Physics 2025-09-24 Daniel Mejia-Rodriguez , Suman Samantray , Margaret S. Cheung , Hoshin Kim

We propose a method, Temperature Integration, which allows an efficient calculation of free energy differences between two systems of interest, with the same degrees of freedom, which may have rough energy landscapes. The method is based on…

Statistical Mechanics · Physics 2015-06-12 Asaf Farhi , Guy Hed , Michael Bon , Nestor Caticha , Chi H Mak , Eytan Domany

The hard sphere crystal-liquid interfacial free energy, ($\gamma_{\rm cl}$), is determined from molecular dynamics simulations using a novel thermodynamic integration (TI) scheme. The advantage of this TI scheme compared to previous methods…

Soft Condensed Matter · Physics 2015-06-23 Ronald Benjamin , Jürgen Horbach

Inspired by thermodynamic integration, we propose a method for the calculation of time-independent free energy profiles from history-dependent biased simulations via Mean Force Integration (MFI). MFI circumvents the need for computing the…

Statistical Mechanics · Physics 2020-01-08 Veselina Marinova , Matteo Salvalaglio

The calculation of the interfacial free energy between two thermodynamic phases is crucial across various fields, including materials science, chemistry, and condensed matter physics. In this study, we apply an existing thermodynamic…

Soft Condensed Matter · Physics 2024-11-26 Ignacio Sanchez-Burgos , Pablo Montero de Hijes , Eduardo Sanz , Carlos Vega , Jorge R. Espinosa

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

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

We propose a new method to compute the free energy or enthalpy of fluids or disordered solids by computer simulation . The main idea is to construct a reference system by freezing one representative configuration, and then carry out a…

Computational Physics · Physics 2011-03-16 Friederike Schmid , Tanja Schilling

We present a differentiable formalism for learning free energies that is capable of capturing arbitrarily complex model dependencies on coarse-grained coordinates and finite-temperature response to variation of general system parameters.…

Computational Physics · Physics 2024-05-31 Blake R. Duschatko , Xiang Fu , Cameron Owen , Yu Xie , Albert Musaelian , Tommi Jaakkola , Boris Kozinsky

This report presents the application of polynomial regression for estimating free energy differences using thermodynamic integration. We employ linear regression to construct a polynomial that optimally fits the thermodynamic integration…

Computational Physics · Physics 2008-10-02 Conrad Shyu , F. Marty Ytreberg

A theory for thermodynamic induction (TI) under isothermal conditions is presented. This includes a treatment of the Helmholtz free energy budget available for a gate variable to utilize towards aiding another variable's approach towards…

Mesoscale and Nanoscale Physics · Physics 2021-10-07 S. N. Patitsas

Thermodynamic phase transitions, a central concept in physics and chemistry, are typically controlled by an interplay of enthalpic and entropic contributions. In most cases, the estimation of the enthalpy in simulations is straightforward…

Soft Condensed Matter · Physics 2025-10-30 Yamin Ben-Shimon , Barak Hirshberg , Yohai Bar-Sinai

This report details an approach to improve the accuracy and precision of free energy difference estimates using thermodynamic integration data (slope of the free energy with respect to the switching variable lambda) and its application to…

Computational Physics · Physics 2010-01-19 Conrad Shyu , F. Marty Ytreberg

In this work, the tetrahydrofuran (THF) hydrate-water interfacial free energy is determined at $500\,\text{bar}$, at one point of the univariant two-phase coexistence line of the THF hydrate, by molecular dynamics simulation. The Mold…

In this study, we carried out equilibrium molecular dynamics (EMD) simulations of the liquid-liquid interface between two different Lennard-Jones components with varying miscibility, where we examined the relation between the interfacial…

Soft Condensed Matter · Physics 2025-12-29 Rei Ogawa , Hiroki Kusudo , Takeshi Omori , Edward R. Smith , Laurent Joly , Samy Merabia , Yasutaka Yamaguchi
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