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We have given theoretical expressions for the forces exerted on a quasi-2D flat and smooth solid plate immersed into a liquid pool of a simple liquid. All forces given by the theory, the local forces on the top, the contact line and the…

Chemical Physics · Physics 2020-08-26 Yuta Imaizumi , Takeshi Omori , Hiroki Kusudo , Carlos Bistafa , Yasutaka Yamaguchi

Extending to continuous potentials a cleaving wall molecular-dynamics simulation method recently developed for the hard-sphere system [Phys.Rev.Lett 85, 4751 (2000)], we calculate the crystal-melt interfacial free energies, $\gamma$, for a…

Materials Science · Physics 2009-11-10 Ruslan L. Davidchack , Brian B. Laird

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

We find an interesting interplay between the range of the attractive part of the interaction potential and the extent of metastability (as measured by supersaturation) in gas-liquid nucleation. We explore and exploit this interplay to…

Statistical Mechanics · Physics 2010-12-23 Rakesh S. Singh , Mantu Santra , Biman Bagchi

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

This article describes nonequilibrium techniques for the calculation of free energies of solids using molecular dynamics (MD) simulations. These methods provide an alternative to standard equilibrium thermodynamic integration methods and…

Materials Science · Physics 2022-01-13 Rodrigo Freitas , Mark Asta , Maurice de Koning

We evaluate the free energy of the fluid and crystal phases for the ST2 potential [F.H. Stillinger and A. Rahman, J. Chem. Phys. 60, 1545 (1974)] with reaction field corrections for the long-range interactions. We estimate the phase…

Statistical Mechanics · Physics 2016-02-25 Frank Smallenburg , Peter H. Poole , Francesco Sciortino

Various methods achieving importance sampling in ensembles of nonequilibrium trajectories enable to estimate free energy differences and, by maximum-likelihood post-processing, to reconstruct free energy landscapes. Here, based on Bayes…

Statistical Mechanics · Physics 2010-07-02 Manuel Athènes , Mihai-Cosmin Marinica

We mathematically model Smectic-A (SmA) phases with a modified Landau-de Gennes (mLdG) model. The orientational order of the SmA phase is described by a tensor-order parameter $\mathbf{Q}$, and the positional order is described by a real…

Soft Condensed Matter · Physics 2025-09-22 Baoming Shi , Yucen Han , Chengdi Ma , Apala Majumdar , Lei Zhang

Boundary conditions for the solid-liquid interface of the solidifying pure melt have been derived. In the derivation the model of Gibbs interface is used. The boundary conditions include both the state quantities of bulk phases are taken at…

Materials Science · Physics 2016-11-02 Gennady Buchbinder , Peter Galenko

We study the kinetics of crystallization in deeply supercooled liquid silicon employing computer simulations and the Stillinger-Weber three body potential. The free energy barriers to crystallisation are computed using umbrella sampling…

Soft Condensed Matter · Physics 2024-06-19 Yagyik Goswami , Vishwas V. Vasisht , Daan Frenkel , Pablo G. Debenedetti , Srikanth Sastry

Recent very large molecular dynamics simulations of homogeneous nucleation with $(1-8) \cdot 10^9$ Lennard-Jones atoms [Diemand et al. J. Chem. Phys. {\bf 139}, 074309 (2013)] allow us to accurately determine the formation free energy of…

Atomic and Molecular Clusters · Physics 2015-06-19 Kyoko K. Tanaka , Jürg Diemand , Raymond Angélil , Hidekazu Tanaka

The principles behind the computation of protein-ligand binding free energies by Monte Carlo integration are described in detail. The simulation provides gas-phase binding free energies that can be converted to aqueous energies by solvation…

Chemical Physics · Physics 2017-01-25 Matthew Clark , Jeffrey S. Wiseman

The equilibrium silica liquid-liquid interface between the high-density liquid (HDL) phase and the low-density liquid (LDL) phase is examined using molecular-dynamics simulation. The structure, thermodynamics, and dynamics within the…

Materials Science · Physics 2022-10-19 Xin Zhang , Brian B. Laird , Hongtao Liang , Wenliang Lu , Zhiyong Yu , Xiangming Ma , Ya Cheng , Yang Yang

A diffuse-interface model for microstructure with an arbitrary number of components and phases was developed from basic thermodynamic and kinetic principles and formalized within a variational framework. The model includes a composition…

Materials Science · Physics 2011-07-28 Daniel A. Cogswell , W. Craig Carter

We investigate the dynamics of a gas of non-interacting particle-like soliton waves, demonstrating that phase transitions originate from their collective behavior. This is predicted by solving exactly the nonlinear equations and by…

Pattern Formation and Solitons · Physics 2009-11-13 Andrea Fratalocchi , Claudio Conti , Giancarlo Ruocco , Stefano Trillo

This paper extends our earlier studies of free energy functions of density and crystalline order parameters for models of supercooled water, which allows us to examine the possibility of two distinct metastable liquid phases [J. Chem. Phys.…

Statistical Mechanics · Physics 2015-06-15 David T. Limmer , David Chandler

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 develop a formulation of global thermodynamics for equilibrium systems under the influence of gravity. The free energy for simple fluids is extended to include a dependence on $(T, V, N, mgL)$, where $L$ represents the vertical system…

Statistical Mechanics · Physics 2025-06-26 Naoko Nakagawa , Shin-ichi Sasa , Takamichi Hirao , Tsuyoshi Shiina , Kyosuke Tachi , Akira Yoshida

The temperature dependence of the solid-liquid interfacial free energy, {\gamma}, is investigated for Al and Ni at the undercooled temperature regime based on a recently developed persistent-embryo method. The atomistic description of the…

Chemical Physics · Physics 2018-11-06 Yang Sun , Feng Zhang , Huajing Song , Mikhail I. Mendelev , Cai-Zhuang Wang , Kai-Ming Ho