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A discrete-to-continuum analysis for free-boundary problems related to crystalline films deposited on substrates is performed by $\Gamma$-convergence. The discrete model here introduced is characterized by an energy with two contributions,…

偏微分方程分析 · 数学 2019-02-19 Leonard Kreutz , Paolo Piovano

We study the instability of a thin film composed of two miscible fluids (binary fluid) placed on a solid planar surface. We include the fact that both the free surface and wetting energies depend on the mixture concentration. By assuming a…

流体动力学 · 物理学 2023-07-11 Javier A. Diez , Alejandro G. González , Lou Kondic

We carry out a theoretical investigation of the low-temperature phase diagram of muonium hydride in two dimensions, using numerical simulations. It is shown that the phase diagram of this substance is qualitatively different in two and…

统计力学 · 物理学 2024-02-12 Jieru Hu , Massimo Boninsegni

Two types of surface models have been investigated by Monte Carlo simulations on triangulated spheres with compartmentalized domains. Both models are found to undergo a first-order collapsing transition and a first-order surface fluctuation…

统计力学 · 物理学 2007-07-24 Hiroshi Koibuchi

We consider a one-dimensional model consisting of an assembly of two-velocity particles moving freely between collisions. When two particles meet, they instantaneously annihilate each other and disappear from the system. Moreover each…

统计力学 · 物理学 2009-10-31 Pierre-Antoine Rey , Michel Droz , Jaroslaw Piasecki

The continuum model related to the Winterbottom problem, i.e., the problem of determining the equilibrium shape of crystalline drops resting on a substrate, is derived in dimension two by means of a rigorous discrete-to-continuum passage by…

偏微分方程分析 · 数学 2020-10-20 Paolo Piovano , Igor Velčić

We suggest a scalar model for deformation and flow of an amorphous material such as a foam or an emulsion. To describe elastic, plastic and viscous behaviours, we use three scalar variables: elastic deformation, plastic deformation rate and…

软凝聚态物质 · 物理学 2009-11-11 Philippe Marmottant , François Graner

The thermal hysteresis of the electronic transport properties were studied for V2O3 thin films. The temporal evolution of the resistance shows the out-of-equilibrium nature of this hysteresis with a very slow relaxation. Partial cycles…

材料科学 · 物理学 2009-11-13 C. Grygiel , A. Pautrat , W. Prellier , B. Mercey

We report a numerical simulation of the phase diagram of a simple model for membrane proteins constrained to move in a plane. In analogy with the corresponding three dimensional models, the liquid-gas transition becomes metastable as the…

软凝聚态物质 · 物理学 2009-10-31 Massimo G. Noro , Daan Frenkel

In this paper we analyse a one-dimensional debonding model for a thin film peeled from a substrate when viscosity is taken into account. It is described by the weakly damped wave equation whose domain, the debonded region, grows according…

偏微分方程分析 · 数学 2020-03-18 Filippo Riva , Lorenzo Nardini

The melting of ultrathin lubricant film is studied by friction between atomically flat surfaces. The fluctuations of lubricant temperature are taken into account defined by Ornstein-Uhlenbeck process. The phase diagrams and portraits are…

统计力学 · 物理学 2007-05-23 A. V. Khomenko

The crystal growth of isotactic polystyrene (it-PS) is investigated in very thin, 11 nm thick films. The it-PS crystals grown in the thin films show quite different morphology from that in the bulk. With decreasing crystallization…

软凝聚态物质 · 物理学 2016-08-31 Ken Taguch , Hideki Miyaji , Kunihide Izumi , Akitaka Hoshino , Yoshihisa Miyamoto , Ryohei Kokawa

Denoising has always been theoretically considered as removal of high frequency disturbances having Gaussian distribution. Here we relax this assumption and the method used here is completely different from traditional thresholding schemes.…

信息论 · 计算机科学 2016-01-19 Vibhor Kumar , Jukka Heikkonen

The two-dimensional Ising model with competing short range ferromagnetic interactions and long range antiferromagnetic interactions is perhaps the most simple one containing the minimal microscopic ingredients necessary for an appropriate…

统计力学 · 物理学 2009-07-09 Sergio A. Cannas , Pablo M. Gleiser , Francisco A. Tamarit

A driven diffusive model of three types of particles that exhibits phase separation on a ring is introduced. The dynamics is local and comprises nearest neighbor exchanges that conserve each of the three species. For the case in which the…

统计力学 · 物理学 2009-10-30 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

We simulate entangled linear polymers in free-standing thin film geometries where the confining dimension is on the same scale or smaller than the bulk chain dimensions. We compare both film-averaged and layer-resolved, spatially…

软凝聚态物质 · 物理学 2016-08-24 Daniel M. Sussman

A molecular dynamics simulation of sublimation of silicene and silicon films of different thikness is performed. It is shown that thiner films sublimate at lower temperatures. The sublimation temperature comes to a saturated value of…

材料科学 · 物理学 2023-09-06 Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

The Mueller Matrix Polar Decomposition method decomposes a Mueller matrix into a diattenuator, a retarder, and a depolarizer. Among these elements, the retarder, which plays a key role in medical and material characterization, is modelled…

We report simulation results on melts of entangled linear polymers confined in a free-standing thin film. We study how the geometric constraints imposed by the confinement alter the entanglement state of the system compared to the…

软凝聚态物质 · 物理学 2019-03-06 Nicolás A. García , Jean-Louis Barrat

We present results from molecular dynamics simulations of strictly two-dimensional (2D) polymer melts and thin polymer films in a slit geometry of thickness of the order of the radius of gyration. We find that the dynamics of the 2D melt is…

软凝聚态物质 · 物理学 2007-05-23 H. Meyer , T. Kreer , A. Cavallo , J. P. Wittmer , J. Baschnagel
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