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The stationary functional of the all-electron density functional plus dynamical mean field theory (DFT+DMFT) formalism to perform free energy calculations and structural relaxations is implemented for the first time. Here, the first order…

Strongly Correlated Electrons · Physics 2015-12-23 Kristjan Haule , Turan Birol

We present a direct calculation by molecular-dynamics computer simulation of the crystal/melt interfacial free energy, $\gamma$, for a system of hard spheres of diameter $\sigma$. The calculation is performed by thermodynamic integration…

Materials Science · Physics 2009-10-31 Ruslan L. Davidchack , Brian B. Laird

A Hamiltonian-based model of many harmonically interacting massive particles that are subject to linear friction and coupled to heat baths at different temperatures is used to study the dynamic approach to equilibrium and non-equilibrium…

Statistical Mechanics · Physics 2020-09-17 Roland R. Netz

We analyze a fully discrete finite element numerical scheme for the Cahn-Hilliard-Stokes-Darcy system that models two-phase flows in coupled free flow and porous media. To avoid a well-known difficulty associated with the coupling between…

Numerical Analysis · Mathematics 2021-06-08 Wenbin Chen , Daozhi Han , Cheng Wang , Shufen Wang , Xiaoming Wang , Yichao Zhang

Using a thermodynamic integration scheme, we compute the free energy cost per unit area, $\gamma$, of forming an interface between a crystal and a frozen structured wall, formed by particles frozen into the same equilibrium structure as the…

Statistical Mechanics · Physics 2015-11-04 Ronald Benjamin , Jürgen Horbach

Crystallization is a process of great practical relevance in which rare but crucial fluctuations lead to the formation of a solid phase starting from the liquid. Like in all first order first transitions there is an interplay between…

Statistical Mechanics · Physics 2017-07-12 Pablo M. Piaggi , Omar Valsson , Michele Parrinello

The nature of the glass transition is one of the most important unsolved problems in condensed matter physics. The difference between glasses and liquids is believed to be caused by very large free energy barriers for particle…

Soft Condensed Matter · Physics 2015-06-15 Rojman Zargar , Bernard Nienhuis , Peter Schall , Daniel Bonn

A computational strategy for the evaluation of the crystal lattice constants and cohesive energy of the weakly bound molecular solids is proposed. The strategy is based on the high level ab initio coupled-cluster determination of the…

Soft Condensed Matter · Physics 2013-02-22 O. Bludsky , M. Rubes , P. Soldan

We present a methodology for the investigation of dislocation energetics in segregated alloys based on Monte Carlo simulations which equilibrate the topology and composition of the dislocation core and its surroundings. An…

Materials Science · Physics 2007-05-23 Ioannis N. Remediakis , David E. Jesson , Pantelis C. Kelires

On the basis of the balance equations for energy-momentum, spin, particle and entropy density, an approach is considered which represents a comparatively general framework for special- and general-relativistic continuum thermodynamics. In…

General Relativity and Quantum Cosmology · Physics 2009-11-13 W. Muschik , H. -H. v. Borzeszkowski

We obtain an exact formula for the equilibrium free energy of a charged quantum particle moving in a harmonic potential in the presence of a uniform external magnetic field and linearly coupled to a heat bath of independent quantum harmonic…

Statistical Mechanics · Physics 2013-12-04 Shamik Gupta , Malay Bandyopadhyay

We analyse three time integration schemes for unfitted methods in fluid structure interaction. In Alghorithm 1 we propose a fully discrete monolithic algorithm with P1 P1 stabilized finite elements for the fluid problem; for this alghorithm…

Numerical Analysis · Mathematics 2021-05-27 Michele Annese

Understanding thermodynamics in liquids at the atomic level is challenging because of strong atomic interactions and lack of symmetry. Recent prior theoretical works have focused on describing heat capacity of liquids in terms of…

Disordered Systems and Neural Networks · Physics 2022-10-14 Jaeyun Moon , Simon Thébaud , Lucas Lindsay , Takeshi Egami

Several research groups have recently reported {\em ab initio} calculations of the melting properties of metals based on density functional theory, but there have been unexpectedly large disagreements between results obtained by different…

Materials Science · Physics 2009-11-07 D. Alfe` , M. J. Gillan , G. D. Price

High entropy alloys (HEAs) are multicomponent compounds whose high configurational entropy allows them to solidify into a single phase, with a simple crystal lattice structure. Some HEA's exhibit desirable properties, such as high specific…

Materials Science · Physics 2017-06-29 Rui Feng , Peter K. Liaw , Michael C. Gao , Michael Widom

We simulate the homogeneous nucleation of ice from supercooled liquid water at 220 K in the isobaric-isothermal ensemble using the MW monatomic water potential. Monte Carlo simulations using umbrella sampling are performed in order to…

Statistical Mechanics · Physics 2012-02-02 Aleks Reinhardt , Jonathan P. K. Doye

The free energy plays a fundamental role in descriptions of many systems in continuum physics. Notably, in multiphysics applications, it encodes thermodynamic coupling between different fields. It thereby gives rise to driving forces on the…

Machine Learning · Computer Science 2023-07-19 Gregory Teichert , Anirudh Natarajan , Anton Van der Ven , Krishna Garikipati

We study the conformational equilibria of two peptides using a novel statistical mechanics approach designed for calculating free energy differences between highly dis-similar conformational states. Our results elucidate the contrasting…

Biological Physics · Physics 2007-05-23 F. Marty Ytreberg , Daniel M. Zuckerman

We present an implementation of alchemical free energy simulations at the quantum mechanical level by directly interpolating the electronic Hamiltonian. The method is compatible with any level of electronic structure theory and requires…

Chemical Physics · Physics 2024-09-02 Chenghan Li , Xing Zhang , Garnet Kin-Lic Chan

Deformable elastic bodies in viscous and viscoelastic media constitute a large portion of synthetic and biological complex fluids. We present a parallelized 3D-simulation methodology which fully resolves the momentum balance in the solid…

Computational Physics · Physics 2019-03-11 Amir Saadat , Chris J. Guido , Gianluca Iaccarino , Eric S. G. Shaqfeh
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