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We propose a new method to compute the configurational entropy of glassy systems as a function of the free energy of valleys at a given temperature, in the framework of the Stillinger and Weber approach. In this method, which we call…

Disordered Systems and Neural Networks · Physics 2007-05-23 B. Coluzzi , A. Crisanti , E. Marinari , F. Ritort , A. Rocco

We calculate the cohesive energies of Fe-based glass-forming alloys in the B-Fe-Y-Zr quaternary system. Our {\it ab-initio} calculations fully relax atomic positions and lattice parameters yielding enthalpies of mixing at T=0K. We examine…

Materials Science · Physics 2007-05-23 M. Mihalkovič , M. Widom

We describe a simple method to determine, from ab initio calculations, the complete orientation-dependence of interfacial free energies in solid-state crystalline systems. We illustrate the method with an application to precipitates in the…

We extend the nested sampling algorithm to simulate materials under periodic boundary and constant pressure conditions, and show how it can be used to determine the complete equilibrium phase diagram, for a given potential energy function,…

We study the phase behavior of a nematic liquid crystal confined between a flat substrate with strong anchoring and a patterned substrate whose structure and local anchoring strength we vary. By first evaluating an effective surface free…

Soft Condensed Matter · Physics 2009-11-13 L. Harnau , S. Kondrat , A. Poniewierski

We consider a multi-component version of the conserved Allen-Cahn equation proposed by J. Rubinstein and P. Sternberg in 1992 as an alternative model for phase separation. In our case, the free energy is characterized by a mixing entropy…

Analysis of PDEs · Mathematics 2023-08-23 Maurizio Grasselli , Andrea Poiatti

Starting for the Stillinger and Weber expression for the free energy of supercooled liquids, we extend the free energy to the case in which two time scales separate and the system is in quasi-equilibrium. The concept of an effective…

Soft Condensed Matter · Physics 2012-11-26 Antonio Scala , Francesco Sciortino

The calculation of free energies from first principles in materials is a formidable task which enables the prediction of phase stability with high accuracy; these calculations are complicated in magnetic materials by the interplay of…

Materials Science · Physics 2023-01-18 Davide Gambino , Johan Klarbring , Björn Alling

A density-functional-theory based approach to efficiently compute numerically exact vibrational free energies - including anharmonicity - for chemically complex multicomponent alloys is developed. It is based on a combination of…

Using molecular simulation, we analyze the capillary condensation and evaporation processes for Argon confined in a cylindrical nanopore. For this purpose, we define the entropy of the adsorbed fluid as a reaction coordinate and determine…

Soft Condensed Matter · Physics 2021-08-25 Caroline Desgranges , Jerome Delhommelle

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 present a methodology for accelerating the estimation of the free energy from path integral Monte Carlo simulations by considering an intermediate artificial reference system where interactions are inexpensive to evaluate numerically.…

Different computational techniques in combination with molecular dynamics computer simulation are used to to determine the wall-liquid and the wall-crystal interfacial free energies of a modified Lennard-Jones (LJ) system in contact with a…

Statistical Mechanics · Physics 2015-06-16 Ronald Benjamin , Jürgen Horbach

The properties of the interface between solid and melt are key to solidification and melting, as the interfacial free energy introduces a kinetic barrier to phase transitions. This makes solidification happen below the melting temperature,…

Statistical Mechanics · Physics 2015-12-02 Bingqing Cheng , Gareth A. Tribello , Michele Ceriotti

The massively parallel computation of absolute binding free energy with a well-equilibrated system (MP-CAFEE) has been developed [H. Fujitani, Y. Tanida, M. Ito, G. Jayachandran, C. D. Snow, M. R. Shirts, E. J. Sorin, and V. S. Pande, J.…

Soft Condensed Matter · Physics 2009-11-13 Yoshiaki Tanida , Masakatsu Ito , Hideaki Fujitani

We propose a method to compute free-energy differences from nonadiabatic alchemical transformations using flow-based generative models. The method, nonadiabatic force matching, hinges on estimating the dissipation along an alchemical…

Chemical Physics · Physics 2025-11-21 Jorge L. Rosa-Raíces , David T. Limmer

In this paper, we investigate numerical methods for solving Nickel-based phase field system related to free energy, including the elastic energy and logarithmic type functionals. To address the challenge posed by the particular free energy…

Numerical Analysis · Mathematics 2022-09-19 Jizu Huang , Chao Yang

We used a thermodynamic integration scheme, which is specifically designed for disordered systems, to compute the interfacial free energy of the solid-liquid interface in the hard-sphere model. We separated the bulk contribution to the…

Computational Physics · Physics 2020-10-28 Moritz Bültmann , Tanja Schilling

Quantitative evaluations of the free energy of materials must take into account thermal and zero-point energy fluctuations. While these effects can easily be estimated within a harmonic approximation, corrections arising from the anharmonic…

Materials Science · Physics 2019-06-18 Venkat Kapil , Edgar Engel , Mariana Rossi , Michele Ceriotti

One reason that free energy difference calculations are notoriously difficult in molecular systems is due to insufficient conformational overlap, or similarity, between the two states or systems of interest. The degree of overlap is…

Biological Physics · Physics 2009-11-11 F. Marty Ytreberg , Daniel M. Zuckerman