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In the context of Landau theory and its field theoretical refinements, interfaces between coexisting phases are described by intrinsic profiles. These intrinsic interface profiles, however, are neither directly accessible by experiment nor…

Statistical Mechanics · Physics 2010-12-23 Melanie Müller , Gernot Münster

One of the most noticeable collective motion of non-cohesive granular matter is clustering under certain conditions. In particular, when a quasi-two-dimensional monolayer of mono-disperse non-cohesive particles is vertically vibrated, a…

Soft Condensed Matter · Physics 2015-06-11 Li-Hua Luu , Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

We study the density of specular reflection points in the geometrical optics limit when light scatters off fluctuating interfaces and membranes in thermodynamic equilibrium. We focus on the statistical mechanics of both capillary-gravity…

Soft Condensed Matter · Physics 2018-12-26 Amir Azadi , David R. Nelson

When driven out of equilibrium by a temperature gradient, fluids respond by developing a nontrivial, inhomogeneous structure according to the governing macroscopic laws. Here we show that such structure obeys strikingly simple scaling laws…

Statistical Mechanics · Physics 2015-03-26 J. J. del Pozo , P. L. Garrido , P. I. Hurtado

A coarse grained description of a two phase fluid is used to study the steady state configuration of the interface separating the coexisting phases, and the motion of the contact line at which the interface intersects a solid boundary. The…

Statistical Mechanics · Physics 2009-10-31 Hsuan-Yi Chen , David Jasnow , Jorge Vinals

Phase separation in binary and ternary fluids is studied using a two dimensional Lattice Gas Automata. The lengths, given by the the first zero crossing point of the correlation function and the total interface length is shown to exhibit…

Soft Condensed Matter · Physics 2009-11-07 K. C. Lakshmi , P. B. Sunil Kumar

In a turbulent boundary layer over a smooth flat plate with zero pressure gradient, the intermediate structure between the viscous sublayer and the free stream consists of two layers: one adjacent to the viscous sublayer and one adjacent to…

Numerical Analysis · Mathematics 2025-10-20 G. I. Barenblatt , A. J. Chorin , V. M. Prostokishin

Application of "complete scaling" [Kim et al., Phys. Rev. E 67, 061506 (2003); Anisimov and Wang, Phys. Rev. Lett. 97, 25703 (2006)] to the interfacial behavior of fluids shows that Tolman's length, a curvature correction to the surface…

Statistical Mechanics · Physics 2007-05-23 M. A. Anisimov

Interfaces moving in a disordered medium exhibit stochastic velocity fluctuations obeying universal scaling relations related to the presence or absence of conservation laws. For fluid invasion of porous media, we show that the fluctuations…

Disordered Systems and Neural Networks · Physics 2009-11-11 Martin Rost , Lasse Laurson , Martin Dube , Mikko Alava

We show that capillary waves can exist at the the boundary between miscible co-flowing fluids. We unveil that the interplay between transient interfacial stresses and confinement drives the progressive transition from the well-known…

Capillary energy barriers have important consequences for immiscible fluid flow in porous media. We derive time-and-space averaging theory to account for non-equilibrium behavior and understand the role of athermal capillary fluctuations in…

Fluid Dynamics · Physics 2021-09-01 James E. McClure , Steffen Berg , Ryan T. Armstrong

The long wavelength diffusion coefficient of a critical fluid confined between two parallel plates separated by a distance L is strongly affected by the finite size. Finite size scaling leads us to expect that the vanishing of the diffusion…

Statistical Mechanics · Physics 2009-11-10 Palash Das , Jayanta K. Bhattacharjee

Fluctuating hydrodynamics is used to describe the total energy fluctuations of a freely evolving gas of inelastic hard spheres near the threshold of the clustering instability. They are shown to be governed by vorticity fluctuations only,…

Statistical Mechanics · Physics 2009-11-11 J. Javier Brey , A. Dominguez , M. I. Garcia de Soria , P. Maynar

Thanks to an expansion with respect to densities of energy, mass and entropy, we discuss the concept of thermocapillary fluid for inhomogeneous fluids. The non-convex state law valid for homogeneous fluids is modified by adding terms taking…

Statistical Mechanics · Physics 2017-10-25 Henri Gouin , Pierre Seppecher

We further study the interfaces arising in a situation of inhomogeneity. More precisely, we identify a characteristic length for the gradient percolation model, that enables us to tighten previous estimates established for it. This allows…

Probability · Mathematics 2009-07-10 Pierre Nolin

Dense non-Brownian suspension flows of hard particles display mystifying properties: as the jamming threshold is approached, the viscosity diverges, as well as a length scale that can be identified from velocity correlations. To unravel the…

Statistical Mechanics · Physics 2015-06-16 Gustavo Düring , Edan Lerner , Matthieu Wyart

We examine the dynamics of two coalescing liquid drops in the `inertial regime', where the effects of viscosity are negligible and the propagation of the bridge front connecting the drops can be considered as `local'. The solution fully…

Fluid Dynamics · Physics 2015-06-19 James E. Sprittles , Yulii D. Shikhmurzaev

The integral length scale ($\mathcal{L}$) is considered to be characteristic of the largest motions of a turbulent flow, and as such, it is an input parameter in modern and classical approaches of turbulence theory and numerical…

Fluid Dynamics · Physics 2020-05-14 Daniel Odens Mora , Martin Obligado

Capillarity-driven self-assembly at fluidic interfaces offers a scalable route to large, reconfigurable materials. Microscale particles with high horizontal-to-vertical aspect ratios become attractive building blocks for shape-directed…

Soft Condensed Matter · Physics 2026-05-27 Sungwan Park , Justin Jeongwoo Choi , Albert Tianxiang Liu

We propose a method to describe the short-distance behavior of an interface fluctuating in the presence of the wedge-shaped substrate near the critical filling transition. Two different length scales determined by the average height of the…

Statistical Mechanics · Physics 2009-10-31 A. Bednorz , M. Napiorkowski
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