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We briefly review selected mathematical models that describe the dynamics of pattern formation phenomena in dip-coating and Langmuir-Blodgett transfer experiments, where solutions or suspensions are transferred onto a substrate producing…

斑图形成与孤子 · 物理学 2015-07-28 Markus Wilczek , Walter B. H. Tewes , Svetlana V. Gurevich , Michael H. Köpf , Lifeng Chi , Uwe Thiele

We investigated the physical mechanism for the pattern transition from square lattice to stripes, which appears in vertically oscillating granular layers. We present a continuum model to show that the transition depends on the competition…

斑图形成与孤子 · 物理学 2009-11-07 Hwa-Kyun Park

A multispecies diffuse interface model is formulated in a fluctuating hydrodynamics framework for the purpose of simulating surfactant interfaces at the nanoscale. The model generalizes previous work to ternary mixtures, employing a…

流体动力学 · 物理学 2025-08-26 John B. Bell , Andrew Nonaka , Alejandro L. Garcia

During drying of colloidal suspensions, colloidal particles can form concentrated particle layers beneath the receding free surface. The drying rate can gradually decrease with the growth of the particle layers. We construct a model to…

软凝聚态物质 · 物理学 2023-06-22 Rei Tatsumi , Osamu Koike , Yukio Yamaguchi , Yoshiko Tsuji

To understand the non-equilibrium relaxation dynamics of a liquid droplet on a switchable substrate the interplay of different length- and time-scales needs to be understood. We present a method to map the microscopic information, resulting…

流体动力学 · 物理学 2022-08-01 Moritz Stieneker , Leon Topp , Svetlana Gurevich , Andreas Heuer

When a liquid drop spreads on an adaptive substrate the latter changes its properties what may result in an intricate coupled dynamics of drop and substrate. Here we present a generic mesoscale hydrodynamic model for such processes that is…

流体动力学 · 物理学 2020-10-28 Uwe Thiele , Simon Hartmann

Glass-forming liquids have been extensively studied in recent decades, but there is still no theory that fully describes these systems, and the diversity of treatments is in itself a barrier to understanding. Here we introduce a new simple…

无序系统与神经网络 · 物理学 2011-03-28 Davide Cellai , Andrzej Z. Fima , Aonghus Lawlor , Kenneth A. Dawson

When two molecular species with mutual affinity are mixed together, various self-assembled phases can arise at low temperature, depending on the shape of like and unlike interactions. Among them, stripes -- where layers of one type are…

软凝聚态物质 · 物理学 2026-01-21 Gabriele Costa , Santi Prestipino

Using statistical field theory supplemented with molecular dynamics simulations, we consider premelting on the surface of ice as a generic consequence of broken hydrogen bonds at the boundary between the condensed and gaseous phases. A…

统计力学 · 物理学 2015-06-22 David T. Limmer , David Chandler

We report on the onset of fluid entrainment when a contact line is forced to advance over a dry solid of arbitrary wettability. We show that entrainment occurs at a critical advancing speed beyond which the balance between capillary,…

软凝聚态物质 · 物理学 2015-06-16 Rodrigo Ledesma-Aguilar , Aurora Hernández-Machado , Ignacio Pagonabarraga

The wetting of soft elastic substrates exhibits many features that have no counterpart on rigid surfaces. Modelling the detailed elastocapillary interactions is challenging, and has so far been limited to single contact lines or single…

流体动力学 · 物理学 2023-08-11 Christopher Henkel , Jacco H. Snoeijer , Uwe Thiele

We present a new microscopic model of granular medium to study the role of dynamical correlations and the onset of spatial order induced by the inelasticity of the interactions. In spite of its simplicity, it features several different…

统计力学 · 物理学 2009-11-07 A. Baldassarri , U. Marini Bettolo Marconi , A. Puglisi

Self-aggregation of tropical convection is a universal feature observed in a diverse range of atmospheric environments. Several preceding models conceptualized the self-aggregation of convection as a phase transition driven by collisions…

大气与海洋物理 · 物理学 2025-04-23 Takuya Jinno , Hiroaki Miura

The effective mixing behavior of solutes in porous media is fundamentally connected to the development of a local mixing interface between the two initial solutions, which is characterized by a complex lamellar structure. The deformation of…

流体动力学 · 物理学 2025-02-28 Daniel M C Hallack , Guillem Sole-Mari , Saif Farhat , Diogo Bolster

Spatial self-similarity is a hallmark of critical phenomena. We study the dynamic process of percolation, in which bonds are incrementally added to an initially empty lattice until the system becomes fully occupied. By tracking the gap --…

统计力学 · 物理学 2026-04-13 Mingzhong Lu , Ming Li , Youjin Deng

Fluid transport in porous materials is commonly studied in geological samples (soil, sediments etc.) or idealized systems, but the fluid flow through compacted granular materials, consisting of substantially strained granules, remains…

软凝聚态物质 · 物理学 2019-02-13 Pawel Gniewek , Oskar Hallatschek

A new class of lattice gas models with trivial interactions but constrained dynamics are introduced. These are proven to exhibit a dynamical glass transition: above a critical density, rho_c, ergodicity is broken due to the appearance of an…

统计力学 · 物理学 2009-11-11 Cristina Toninelli , Giulio Biroli , Daniel S. Fisher

We study nonequilibrium phase transitions of reaction-diffusion systems defined on randomly diluted lattices, focusing on the transition across the lattice percolation threshold. To develop a theory for this transition, we combine classical…

统计力学 · 物理学 2009-04-27 Man Young Lee , Thomas Vojta

Liquid-liquid wetting failure is investigated in a two-dimensional Couette system with two immiscible fluids of arbitrary viscosity. The problem is solved exactly using a sharp interface treatment of hydrodynamics (lubrication theory) as a…

流体动力学 · 物理学 2009-11-13 M. Sbragaglia , K. Sugiyama , L. Biferale

The dynamical properties of the site frustrated percolation model are investigated and compared with those of glass forming liquids. When the density of the particles on the lattice becomes high enough, the dynamics of the model becomes…

统计力学 · 物理学 2009-10-30 S. Scarpetta , A. de Candia , A. Coniglio