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We analyze the surface energy and boundary layers for a chain of atoms at low temperature for an interaction potential of Lennard-Jones type. The pressure (stress) is assumed small but positive and bounded away from zero, while the…

Probability · Mathematics 2021-01-22 Sabine Jansen , Wolfgang König , Bernd Schmidt , Florian Theil

Conventional methods for modeling thermocatalytic systems are typically based on the Kohn-Sham density functional theory (KS-DFT), neglecting the inhomogeneous distributions of gas molecules in the reactive environment. However, industrial…

Chemical Physics · Physics 2025-08-14 Jikai Sun , Jianzhong Wu

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

For the purpose of elucidating the gas sensing mechanism of SnO$_2$ for NO and NO$_2$ gases, we calculate the phase diagram of SnO$_2$(110) surface in contact with an O$_2$ and NO gas environment by means of {\it ab initio} thermodynamic…

We introduce an anisotropic two-dimensional lattice gas model of metal terminated II-IV(001) seminconductor surfaces. Important properties of this class of materials are represented by effective NN and NNN interactions, which result in the…

Statistical Mechanics · Physics 2009-10-31 Michael Biehl , Martin Ahr , Wolfgang Kinzel , Moritz Sokolowski , Thorsten Volkmann

The calculation of the interfacial free energy between two thermodynamic phases is crucial across various fields, including materials science, chemistry, and condensed matter physics. In this study, we apply an existing thermodynamic…

Soft Condensed Matter · Physics 2024-11-26 Ignacio Sanchez-Burgos , Pablo Montero de Hijes , Eduardo Sanz , Carlos Vega , Jorge R. Espinosa

We study the adsorption-desorption of fluid molecules on a solid substrate by introducing a schematic model in which the adsorption/desorption transition probabilities are given by irreversible kinetic constraints with a tunable violation…

Statistical Mechanics · Physics 2019-11-27 Mauro Sellitto

Contemporary work implies generative machine learning models are capable of learning the phase behavior in condensed matter systems such as the Ising model. In this Letter, we utilize a score-based modeling procedure called Thermodynamic…

Statistical Mechanics · Physics 2024-10-29 Eric R. Beyerle , Pratyush Tiwary

Simulations of wetting phenomena by a meshfree particle method are presented. The incompressible Navier-Stokes equations are used to model the two-phase flow. The continuous surface force model is used to incorporate the surface tension…

Numerical Analysis · Mathematics 2014-06-19 Sudarshan Tiwari , Axel Klar , Steffen Hardt

The supercooled dynamics of a Lennard-Jones model liquid is numerically investigated studying relevant points of the potential energy surface, i.e. the minima of the square gradient of total potential energy $V$. The main findings are:…

Soft Condensed Matter · Physics 2009-11-07 L. Angelani , R. Di Leonardo , G. Ruocco , A. Scala , F. Sciortino

The energy landscape dictates pathways and outcomes in supramolecular selfassembly, yet harnessing it from the nano to the macro scales remains a major challenge. Here, we demonstrate liquid liquid phase separation (LLPS) as a powerful tool…

Bearing in mind the application to high-magnetic-field (high-B) radio pulsars, we investigate two-dimensional (2D) thermal evolutions of neutron stars (NSs). We pay particular attention to the influence of different equilibrium…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Nobutoshi Yasutake , Kei Kotake , Masamichi Kutsuna , Toshikazu Shigeyama

We propose a phase diagram for the shear flow of dry granular particles in two dimensions based on simulations and a phenomenological Landau-theory for a nonequilibrium first order phase transition. Our approach incorporates both frictional…

Soft Condensed Matter · Physics 2014-06-12 Matthias Grob , Claus Heussinger , Annette Zippelius

To learn about basic aspects of nano-scale spherical molecular shells during their formation, spherically curved two-dimensional N-particle Lennard-Jones systems are simulated, studying curvature evolution paths at zero-temperature. For…

Atomic and Molecular Clusters · Physics 2009-11-11 J. M. Voogd , P. M. A. Sloot , R. van Dantzig

The formation, growth, structure and cluster size distribution (CSD) properties in a two-dimensional system of particles interacting with Lennard-Jones (LJ) potential under controlled cooling condition have been studied using Monte-Carlo…

Soft Condensed Matter · Physics 2018-01-18 Barnana Pal

Predicting the microstructure during selective laser sintering (SLS) is of great interests, which can compliment the current time and cost expensive trial-and-error principle with an efficient computational design tool. However, it still…

Materials Science · Physics 2019-08-09 Yangyiwei Yang , Olav Ragnvaldsen , Yang Bai , Min Yi , Bai-Xiang Xu

A lattice gas model is used to study the equilibrium properties and desorption kinetics of CO on Ru(0001). With interactions obtained from density functional theory (DFT) the phase diagram and temperature programmed desorption (TPD) spectra…

Statistical Mechanics · Physics 2007-05-23 J. -S. McEwen , A. Eichler

We use an infinite-range Maier-Saupe model, with two sets of local quadrupolar variables and restricted orientations, to investigate the global phase diagram of a coupled system of two nematic subsystems. The free energy and the equations…

Statistical Mechanics · Physics 2015-06-05 D. B. Liarte , S. R. Salinas

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 significance of wettability between solid and liquid substances in different fields encourages scientists to develop accurate models to estimate the resultant apparent contact angles. Surface free energy (SFE), which is principally…

Chemical Physics · Physics 2026-02-02 Majid Shaker , Erfan Salahinejad
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