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A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of the system, and the dominant way of the…

Statistical Mechanics · Physics 2015-06-24 Mohammad Khorrami , Amir Aghamohammadi

Phase transitions are a fundamental concept in science describing diverse phenomena ranging from, e.g., the freezing of water to Bose-Einstein condensation. While the concept is well-established in equilibrium, similarly fundamental…

Direct numerical simulations are used to elucidate the interplay of wettability and fluid viscosities on immiscible fluid displacements in a heterogeneous porous medium.We classify the flow regimes based using qualitative and quantitative…

Liquid drops on textured surfaces show different dynamical behaviors depending on their wetting states. They are extremely mobile when they are supported by composite solid-liquid-air interfaces (Cassie-Baxter state) and immobile when they…

We study the hydrodynamic mechanisms involved in the motion of the contact line formed at the end region of a liquid filament laying on a planar and horizontal substrate. Since the flow develops under partially wetting conditions, the tip…

Fluid Dynamics · Physics 2017-05-31 Pablo D. Ravazzoli , Ingrith P. Cuellar , Alejandro G. González , Javier A. Diez

Two known distinct examples of one-dimensional systems which are known to exhibit a phase transition are critically examined: (A) a lattice model with harmonic nearest-neighbor elastic interactions and an on-site Morse potential, and (B)…

Statistical Mechanics · Physics 2007-06-17 N. Theodorakopoulos

We reconsider model II of [J. Chem. Phys. 1968, 49, 1778--1783], a two-dimensional lattice-gas system featuring a crystalline phase and two distinct fluid phases (liquid and vapor). In this system, a particle prevents other particles from…

Statistical Mechanics · Physics 2022-04-01 Santi Prestipino , Gabriele Costa

Using mesoscopic interfacial models and microscopic density functional theory we study fluid adsorption at a dry wall decorated with three completely wet stripes of width $L$ separated by distances $D_1$ and $D_2$. The stripes interact with…

Statistical Mechanics · Physics 2019-05-02 Alexandr Malijevský , A. O. Parry , Martin Pospíšil

The sharp drops in the resistance and magnetization which are usually attributed to a phase transition from the vortex liquid state to a crystal state are explained instead as a crossover between three and two dimensional behavior, which…

Condensed Matter · Physics 2009-10-28 M. A. Moore

Systems switching between different dynamical phases is an ubiquitous phenomenon. The general understanding of such a process is limited. To this end, we present a general expression that captures fluctuations of a system exhibiting a…

Statistical Mechanics · Physics 2024-12-05 Ion Santra , Kristian Stølevik Olsen , Deepak Gupta

We study the solid-on-solid interface model above a horizontal wall in three dimensional space, with an attractive interaction when the interface is in contact with the wall, at low temperatures. There is no bulk external field. The system…

Mathematical Physics · Physics 2010-03-30 Kenneth S. Alexander , François Dunlop , Salvador Miracle-Solé

We study the behavior of a semi-infinite monolayer, which is placed initially on a half of an infinite in both directions, ideal crystalline surface, and then evolves in time due to random motion of the monolayer particles. Particles…

Soft Condensed Matter · Physics 2009-10-31 G. Oshanin , J. De Coninck , A. M. Cazabat , M. Moreau

We discuss the analogy of the behaviour of films and drops of liquid on a rotating horizontal cylinder on the one hand and substrates with regular one-dimensional wettability patterns on the other hand. Based on the similarity between the…

Fluid Dynamics · Physics 2013-03-25 Uwe Thiele

We study the dynamics of the interface between two immiscible fluids in contact with a chemically homogeneous moving solid plate. We consider the generic case of two fluids with any viscosity ratio and of a plate moving in either directions…

Fluid Dynamics · Physics 2015-06-15 T. S. Chan , S. Srivastava , A. Marchand , B. Andreotti , L. Biferale , F. Toschi , J. H. Snoeijer

The microstructure of snow determines its fundamental properties such as the mechanical strength, reflectivity, or the thermo-hydraulic properties. Snow undergoes continuous microstructural changes due to local gradients in temperature,…

Fluid Dynamics · Physics 2024-08-01 Adrian Moure , Xiaojing Fu

Soft particles suspended in fluids flowing through microchannels are often encountered in biological flows such as cells in vessels. They can deform under flow or when subject to mechanical stresses as they interact with themselves.…

Soft Condensed Matter · Physics 2021-01-19 Danilo P. F. Silva , Rodrigo C. V. Coelho , Margarida M. Telo da Gama , Nuno A. M. Araújo

The motion of three-phase contact lines is one of the most relevant research topics of micro- and nano-fluidics. According to many hydrodynamic and molecular models, the dynamics of contact lines is assumed overdamped and dominated by…

Fluid Dynamics · Physics 2022-09-29 Michele Pellegrino , Berk Hess

The results of Monte Carlo simulation of adsorption and wetting behaviour of a highly non-additive symmetric mixture at selective walls is discussed. We have concentrated on the interplay between the surface induced demixing in the adsorbed…

Soft Condensed Matter · Physics 2018-06-27 A. Patrykiejew

If the temperature of a cell containing two partially miscible liquids is changed very slowly, so that the miscibility is decreased, microscopic droplets nucleate, grow and migrate to the interface due to their buoyancy. The system may show…

Atmospheric and Oceanic Physics · Physics 2015-06-18 Michael Wilkinson

We study various models of independent particles hopping between energy `traps' with a density of energy barriers $\rho(E)$, on a $d$ dimensional lattice or on a fully connected lattice. If $\rho(E)$ decays exponentially, a true dynamical…

Condensed Matter · Physics 2009-10-28 Cécile Monthus , Jean-Philippe Bouchaud