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A modified phase field crystal model in which the free energy may be minimised by an order parameter profile having isolated bumps is investigated. The phase diagram is calculated in one and two dimensions and we locate the regions where…

Soft Condensed Matter · Physics 2012-08-31 Mark J. Robbins , Andrew J. Archer , Uwe Thiele , Edgar Knobloch

Free-energy landscape theory is often used to describe complex molecular systems. Here, a microscopic description of water structure and dynamics based on configuration-space-networks and molecular dynamics simulations of the TIP4P/2005…

Statistical Mechanics · Physics 2015-06-05 Diego Prada-Gracia , Roman Shevchuk , Peter Hamm , Francesco Rao

We present a minimal model to study liquid phase separation in a fixed pH ensemble. The model describes a mixture composed of macromolecules that exist in three different charge states and have a tendency to phase separate. We introduce the…

Biological Physics · Physics 2020-10-30 Omar Adame-Arana , Christoph A. Weber , Vasily Zaburdaev , Jacques Prost , Frank Jülicher

A methodology for calculating the contribution of charged defects to the configurational free energy of an ionic crystal is introduced. The temperature-independent Wang-Landau Monte Carlo technique is applied to a simple model of a solid…

Materials Science · Physics 2015-06-16 Robert M. Horton , Andrew J. Haslam , Amparo Galindo , George Jackson , Michael W. Finnis

We use numerical simulation to examine the possibility of a reversible liquid-liquid transition in supercooled water and related systems. In particular, for two atomistic models of water, we have computed free energies as functions of…

Statistical Mechanics · Physics 2012-05-11 David T. Limmer , David Chandler

Networks of steps, seen in STM observations of vicinal surfaces on Au and Pt (110), are analyzed. A simple model is introduced for the calculation of the free energy of the networks as function of the slope parameters, valid at low step…

Statistical Mechanics · Physics 2008-02-03 Henk van Beijeren , Enrico Carlon

Freezing of simple liquid metals and the relative stabilities of competing crystalline solids are investigated using thermodynamic perturbation theory, the interactions between ions being modeled by effective pair potentials derived from…

Materials Science · Physics 2009-10-31 A. R. Denton , G. Kahl , J. Hafner

We present a 5-phase equation of state (EOS) for elemental carbon. The phases considered are: diamond, BC8, simple-cubic, simple-hexagonal, and the liquid/plasma state. The solid phase free energies are constrained by density functional…

The two-phase thermodynamic (2PT) model {[}J. Chem. Phys., \textbf{119}, 11792 (2003){]} provides a promising paradigm to efficiently determine the ionic entropies of liquids from molecular dynamics (MD). In this model, the vibrational…

Chemical Physics · Physics 2017-11-20 Tao Sun , Jiawei Xian , Huai Zhang , Zhigang Zhang , Yigang Zhang

The calculation time for the energy of atoms and molecules scales exponentially with system size on a classical computer but polynomially using quantum algorithms. We demonstrate that such algorithms can be applied to problems of chemical…

Quantum Physics · Physics 2007-05-23 Alán Aspuru-Guzik , Anthony D. Dutoi , Peter J. Love , Martin Head-Gordon

Free energy sampling methods allow studying the full dynamics of activated processes. Unfortunately, the affordable accuracy of the potential describing the energy and forces of the system is usually rather low. Here we introduce a new…

Chemical Physics · Physics 2019-04-04 GiovanniMaria Piccini , Michele Parrinello

Ice-water, water-vapor interfaces and ice surface are studied by molecular dynamics simulations with the SPC/E model of water molecules having the purpose to estimate the profiles of electrostatic potential across the interfaces. We have…

Soft Condensed Matter · Physics 2016-03-08 T. Bryk , A. D. J. Haymet

Jarzynski's identity for the free energy difference between two equilibrium states can be viewed as a special case of a more general procedure based on phase space mappings. Solving a system's equation of motion by approximate means…

Statistical Mechanics · Physics 2009-11-11 Wolfgang Lechner , Harald Oberhofer , Christoph Dellago , Phillip L. Geissler

The existence of a first-order phase transition between a low-density liquid (LDL) and a high-density liquid (HDL) forms of supercooled water has been a central and highly debated issue of physics and chemistry in the last three decades. We…

Soft Condensed Matter · Physics 2021-06-16 Alexandre Jedrecy , Antonino Marco Saitta , Fabio Pietrucci

Water's phase diagram remains one of the most intricate and challenging benchmarks in molecular modeling. In this study, we compute the phase diagram of water using an Atomic Cluster Expansion (ACE) potential trained on density-functional…

Materials Science · Physics 2026-01-21 Eslam Ibrahim , Yury Lysogorskiy , Ralf Drautz , Pablo Piaggi

With a view to a better understanding of the influence of atomic quantum delocalisation effects on the phase behaviour of water, path integral simulations have been undertaken for almost all of the known ice phases using the TIP4P/2005…

Statistical Mechanics · Physics 2009-07-15 Carl McBride , Carlos Vega , Eva G. Noya , Rafael Ramirez , Luis M. Sese

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

Free energies of ionic solvation calculated from computer simulations exhibit a strong system size dependence. We perform a finite-size analysis based on a dielectric-continuum model with periodic boundary conditions. That analysis results…

Chemical Physics · Physics 2009-10-30 Gerhard Hummer , Lawrence R. Pratt , Angel E. Garcia

We develop a novel finite element method for a phase field model of nematic liquid crystal droplets. The continuous model considers a free energy comprised of three components: the Ericksen's energy for liquid crystals, the Cahn-Hilliard…

Numerical Analysis · Mathematics 2017-09-13 Amanda E. Diegel , Shawn W. Walker

The formation of biomolecular condensates inside cells often involve intrinsically disordered proteins (IDPs), and several of these IDPs are also capable of forming droplet-like dense assemblies on their own, through liquid-liquid phase…

Biological Physics · Physics 2020-02-26 Daniel Nilsson , Anders Irbäck
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