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A thermodynamically consistent phase-field model is introduced for simulating motion and shape transformation of vesicles under flow conditions. In particular, a general slip boundary condition is used to describe the interaction between…

Numerical Analysis · Mathematics 2020-12-11 Lingyue Shen , Zhiliang Xu , Ping Lin , Huaxiong Huang , Shixin Xu

Monte Carlo simulations of crystal nuclei coexisting with the fluid phase in thermal equilibrium in finite volumes are presented and analyzed, for fluid densities from dense melts to the vapor. Generalizing the lever-rule for two-phase…

Statistical Mechanics · Physics 2017-11-01 Peter Koß , Antonia Statt , Peter Virnau , Kurt Binder

A phase-field model for three-phase flows is established by combining the Navier-Stokes (NS) and the energy equations, with the Allen-Cahn (AC) and Cahn-Hilliard (CH) equations and is demonstrated analytically to satisfy the energy…

Fluid Dynamics · Physics 2024-12-24 Zhihua Wang , Lijing Zhou , Wenqiang Zhang , Xiaorong Wang , Shuguang Li , Xuerui Mao

Molecular dynamic simulations were performed for ice Ih with a free surface. The simulations were carried out at several temperatures and each run lasted more than 7ns. At high temperatures the ice melts. It is demonstrated that the melting…

Statistical Mechanics · Physics 2013-04-19 Carlos Vega , Maria Martin-Conde , Andrzej Patrykiejew

Predicting crystal nucleation is among the most significant long--standing challenges in condensed matter. In the system most studied (hard sphere colloids), the comparison between experiments performed using static light scattering and…

Soft Condensed Matter · Physics 2025-06-04 Lars Kürten , Antoine Castagnède , Frank Smallenburg , C. Patrick Royall

Estimating the free energy in molecular simulation requires, implicitly or explicitly, counting how many times the system is observed in a finite region. If the simulation is biased by an external potential, the weight of the configurations…

Chemical Physics · Physics 2021-12-22 Matteo Carli , Alessandro Laio

We develop a methodology for the calculation of surface free energies based on the probability distribution of a wandering interface. Using a simple extension of the NpT sampling, we allow the interface area to randomly probe the available…

Soft Condensed Matter · Physics 2009-11-13 Luis G. MacDowell , Pawel Bryk

In this article we consider the numerical modeling and simulation via the phase field approach of two-phase flows of different densities and viscosities in superposed fluid and porous layers. The model consists of the…

Numerical Analysis · Mathematics 2021-12-09 Yali Gao , Daozhi Han , Xiaoming He , Ulrich Rüde

Solvation in 1-ethyl-3-methylmidazolium chloride and in 1-ethyl-3-methylimidazolium hexafluorophosphate near equilibrium is investigated via molecular dynamics computer simulations with diatomic and benzenelike molecules employed as probe…

Soft Condensed Matter · Physics 2009-11-11 Y. Shim , M. Y. Choi , Hyung J. Kim

We investigate the structural similarities between liquid water and 53 ices, including 20 knowncrystalline phases. We base such similarity comparison on the local environments that consist of atoms within a certain cutoff radius of a…

Computational Physics · Physics 2020-06-25 Bartomeu Monserrat , Jan Gerit Brandenburg , Edgar A. Engel , Bingqing Cheng

We present an energy-stable scheme for numerically approximating the governing equations for incompressible two-phase flows with different densities and dynamic viscosities for the two fluids. The proposed scheme employs a scalar-valued…

Computational Physics · Physics 2019-06-26 Z. Yang , S. Dong

The phase field theory of crystal nucleation described in [L. Granasy, T. Borzsonyi, T. Pusztai, Phys. Rev. Lett. 88, 206105 (2002)] is applied for nucleation in hard--sphere liquids. The exact thermodynamics from molecular dynamics is…

Statistical Mechanics · Physics 2009-11-10 Laszlo Granasy , Tamas Pusztai , Zoltan Jurek , Massimo Conti , Bjorn Kvamme

We study the vapour-liquid phase behaviour of an ionic fluid confined in a random porous matrix formed by uncharged hard sphere particles. The ionic fluid is modelled as an equimolar binary mixture of oppositely charged equisized hard…

Soft Condensed Matter · Physics 2016-09-21 M. F. Holovko , O. Patsahan , T. Patsahan

We present a machine-learning approach, based on normalizing flows, for modelling atomic solids. Our model transforms an analytically tractable base distribution into the target solid without requiring ground-truth samples for training. We…

We examine the influence of the main approximations employed in density-functional theory descriptions of the solid phase of molecular hydrogen near dissociation. We consider the importance of nuclear quantum effects on equilibrium…

Materials Science · Physics 2015-06-15 M. A. Morales , J. M. McMahon , C. Pierleoni , D. M. Ceperley

The solidification behavior of liquid metal in a container under rapid cooling process is one of the major concerns to be analyzed. In order to analyze its fundamental behavior, a three- dimensional (3D) fluid dynamics simulation was…

Fluid Dynamics · Physics 2013-09-18 Raden Ahnaf Faqih S , Christian Fredy Naa

A microscopic model able to describe simultaneously the dynamic viscosity and the self-diffusion coefficient of fluids is presented. This model is shown to emerge from the introduction of fractional calculus in a usual model of condensed…

Statistical Mechanics · Physics 2021-11-24 F. Aitken , F. Volino

Exact characterization of phase transitions requires sufficient configurational sampling, necessitating efficient and accurate potential energy surfaces. Molecular force fields with computational efficiency and physical interpretability are…

Statistical Mechanics · Physics 2025-10-21 Bin Jin , Bin Han , Wei Feng , Kuang Yu , Shenzhen Xu

We evaluate the phase diagram of the ``BKS'' potential [Van Beest, Kramer and van Santen, Phys. Rev. Lett. 64, 1955 (1990)], a model of silica widely used in molecular dynamics (MD) simulations. We conduct MD simulations of the liquid, and…

Materials Science · Physics 2010-10-08 Ivan Saika-Voivod , Francesco Sciortino , Tor Grande , Peter H. Poole

The advent of electronic computers has revolutionised the application of statistical mechanics to the liquid state. Computers have permitted, for example, the calculation of the phase diagram of water and ice and the folding of proteins.…

Statistical Mechanics · Physics 2008-09-11 Carl McBride