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We investigate the geometry of typical equilibrium configurations for a lattice gas in a finite macroscopic domain with attractive, long range Kac potentials. We focus on the case when the system is below the critical temperature and has a…

统计力学 · 物理学 2011-04-28 E. A. Carlen , R. Esposito , J. L. Lebowitz , R. Marra

The steady state motion of cylindrical droplets under the action of external body force is investigated both theoretically and via lattice Boltzmann simulation. As long as the shape-invariance of droplet is maintained, the droplet's…

软凝聚态物质 · 物理学 2011-02-11 Nasrollah Moradi , Fathollah Varnik , Ingo Steinbach

We construct a density functional for the lattice gas / Ising model on square and cubic lattices based on lattice fundamental measure theory. In order to treat the nearest-neighbor attractions between the lattice gas particles, the model is…

统计力学 · 物理学 2021-08-25 M. Maeritz , M. Oettel

Recently Biskup et al. [Europhys. Lett. 60 (2002) 21] studied the behaviour of d-dimensional finite-volume liquid-vapour systems at a fixed excess $\delta N$ of particles above the ambient gas density. They identify a dimensionless…

高能物理 - 格点 · 物理学 2007-05-23 Andreas Nussbaumer , Elmar Bittner , Wolfhard Janke

We use the classical version of the density-functional theory in the weighted-density approximation to build up the entire phase diagram and the interface structure of a two-dimensional lattice-gas model which is known, from previous…

统计力学 · 物理学 2011-10-25 S. Prestipino , P. V. Giaquinta

In this paper, we consider the formation of droplets in the dimer model on a triangular lattice. The droplets in the dimer model are superposition polygons formed as two overlapping configurations of dimers: constant and movable. We…

统计力学 · 物理学 2024-11-27 Daria Shvalyuk , Anton Nazarov

Fluids with competing short range attraction and long range repulsive interactions between the particles can exhibit a variety of microphase separated structures. We develop a lattice-gas (generalised Ising) model and analyse the phase…

软凝聚态物质 · 物理学 2016-01-20 Blesson Chacko , Christopher Chalmers , Andrew J. Archer

Results from Monte Carlo simulations of wall-attached droplets in the three-dimensional Ising lattice gas model and in a symmetric binary Lennard-Jones fluid, confined by antisymmetric walls, are analyzed, with the aim to estimate the…

软凝聚态物质 · 物理学 2018-07-04 Subir K. Das , Sergei A. Egorov , Peter Virnau , David Winter , Kurt Binder

Classical density functional theory (DFT) is a statistical mechanical theory for calculating the density profiles of the molecules in a liquid. It is widely used, for example. to calculate the density distribution of the molecules in the…

统计力学 · 物理学 2015-07-08 Adam P. Hughes , Uwe Thiele , Andrew J. Archer

Dripping dynamics has been well studied over the past century and forms a classic example of chaotic system in physics. With an increase in the inlet flow rate, periodic droplet formation from a faucet becomes chaotic in terms of the…

流体动力学 · 物理学 2025-07-10 Kishorkumar Sarva , Tejas G Murthy , Gaurav Tomar

We perform large scale simulations of the frustrated Ising lattice gas, a three-dimensional lattice model of a structural glass, using the parallel tempering technique. We evaluate the spin and density overlap distributions, and the…

统计力学 · 物理学 2009-11-07 A. de Candia , A. Coniglio

We develop a lattice gas model for the drying of droplets of a nanoparticle suspension on a planar surface, using dynamical density functional theory (DDFT) to describe the time evolution of the solvent and nanoparticle density profiles.…

软凝聚态物质 · 物理学 2018-09-03 C. Chalmers , R. Smith , A. J. Archer

Condensation is an important aspect of many flow applications due to the universal presence of humidity in the air at ambient conditions. For direct numerical simulations of such flows, simulating the gas phase as a mixture characterized by…

流体动力学 · 物理学 2022-06-29 Philipp Bahavar , Claus Wagner

he contact angle of a liquid droplet on a surface under partial wetting conditions differs for a nanoscopically rough or periodically corrugated surface from its value for a perfectly flat surface. Wenzel's relation attributes this…

软凝聚态物质 · 物理学 2020-06-24 Sergei A. Egorov , Kurt Binder

Time-dependent density functional theory, proposed recently in the context of atomic diffusion and non-equilibrium processes in solids, is tested against Monte Carlo simulation. In order to assess the basic approximation of that theory, the…

统计力学 · 物理学 2009-11-07 M. Kessler , W. Dieterich , H. L. Frisch , J. F. Gouyet , P. Maass

The relaxation dynamics of a model fluid of platelike colloidal particles is investigated by means of a phenomenological dynamic density functional theory. The model fluid approximates the particles within the Zwanzig model of restricted…

软凝聚态物质 · 物理学 2011-09-14 Markus Bier , Rene van Roij

In this paper, a lattice Boltzmann model is proposed to simulate solid-liquid phase change phenomena in multiphase systems. The model couples the thermal properties of the solidification front with the dynamics of the liquid droplet…

流体动力学 · 物理学 2024-04-04 Jiangxu Huang , Lei Wang , Zhenhua Chai , Baochang Shi

The interacting lattice gas model is used to simulate fluid flow through an open percolating porous medium with the fluid entering at the source-end and leaving from the opposite end. The shape of the steady-state concentration profile and…

统计力学 · 物理学 2009-11-07 R. B. Pandey , J. F. Gettrust , D. Stauffer

Various substances in the liquid state tend to form droplets. In this paper the shape of such droplets is investigated within the spherical model of a lattice gas. We show that in this case the droplet boundary is always diffusive, as…

统计力学 · 物理学 2015-05-20 Anatoly E. Patrick

In 2002 Biskup et al. [Europhys. Lett. 60, 21 (2002)] sketched a rigorous proof for the behavior of the 2D Ising lattice gas, at a finite volume and a fixed excess \delta M of particles (spins) above the ambient gas density (spontaneous…

统计力学 · 物理学 2009-07-20 Andreas Nußbaumer , Elmar Bittner , Wolfhard Janke
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