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For the first time the phenomenon of cellular structure coarsening are consistently analysed from the positions of kinetic, hydrodynamic and stochastodynamic theories of nonequilibrium statistical systems. Thereby micro-, meso- and…

凝聚态物理 · 物理学 2015-06-25 S. B. Goryachev

Many physical systems are forced by external inputs, which can sometimes take the form of chaotic variation. A particular example is found in applications related to weather and climate, where chaotic variation is prevalent across various…

混沌动力学 · 物理学 2026-03-17 Courtney Quinn , Hassan Alkhayuon

In this paper, we apply the thermodynamic framework recently put into place by Rajagopal and co-workers, to develop rate-type models for viscoelastic fluids which do not possess instantaneous elasticity. To illustrate the capabilities of…

数值分析 · 计算机科学 2010-07-23 Satish Karra , K. R. Rajagopal

We numerically study dynamics and correlation length scales of a colloidal liquid in both quiescent and sheared conditions to further understand the origin of slow dynamics and dynamic heterogeneity in glass-forming systems. The simulation…

软凝聚态物质 · 物理学 2015-06-05 Wen-Sheng Xu , Zhao-Yan Sun , Li-Jia An

Elastic turbulence is a spatially and temporally disordered flow state appearing in viscoelastic fluids at vanishing fluid inertia and large elasticity. The resulting flows have broad technological interest, particularly to enhance mixing…

流体动力学 · 物理学 2026-04-02 Zhongxuan Hou , Stefano Berti , Teodor Burghelea , Francesco Romanò

There is an increasing interest in the study of metamaterials and periodic materials across disciplines. These are anisotropic and their properties present directionality. For example, the wave speed depends on the propagation direction.…

应用物理 · 物理学 2023-07-06 Nicolás Guarín-Zapata , Camilo Valencia , Juan Gómez

The full non-linear evolution of the tidal instability is studied numerically in an ellipsoidal fluid domain relevant for planetary cores applications. Our numerical model, based on a finite element method, is first validated by reproducing…

经典物理 · 物理学 2010-10-01 David Cébron , Michael Le Bars , Justin Leontini , Pierre Maubert , Patrice Le Gal

We propose general conditions for the emergence of Turing patterns in a domain that changes size through homogeneous growth/shrinkage based on the qualitative changes of a potential function. For this part of the work, we consider the most…

斑图形成与孤子 · 物理学 2023-10-03 Aldo Ledesma-Durán

Among systems that display generic scale invariance, those whose asymptotic properties are anisotropic in space (strong anisotropy, SA) have received a relatively smaller attention, specially in the context of kinetic roughening for…

统计力学 · 物理学 2015-06-11 Edoardo Vivo , Matteo Nicoli , Rodolfo Cuerno

We study a shape evolution framework in which the deformation of shapes from time t to t + dt is governed by a regularized anisotropic elasticity model. More precisely, we assume that at each time shapes are infinitesimally deformed from a…

最优化与控制 · 数学 2019-01-01 Dai-Ni Hsieh , Sylvain Arguillère , Nicolas Charon , Michael I. Miller , Laurent Younes

Scaling analysis exploiting timescale separation has been one of the most important techniques in the quantitative analysis of nonlinear dynamical systems in mathematical and theoretical biology. In the case of enzyme catalyzed reactions,…

定量方法 · 定量生物学 2023-03-21 Justin Eilertsen , Wylie Stroberg , Santiago Schnell

We study the depinning of a flux line by analytical and numerical methods applied to a phenomenological equation of motion. Transverse fluctuations do not influence the critical behavior of the longitudinal component, justifying ``planar…

凝聚态物理 · 物理学 2009-10-22 Deniz Ertas , Mehran Kardar

Stochastic homogeneous hyperelastic solids are characterised by strain-energy densities where the parameters are random variables defined by probability density functions. These models allow for the propagation of uncertainties from input…

经典物理 · 物理学 2019-08-13 L. Angela Mihai , Danielle Fitt , Thomas E. Woolley , Alain Goriely

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

计算物理 · 物理学 2025-03-11 Xiaojian Yang , Kun Xu

Many features of real granular fluids under rapid flow are exhibited as well by a system of smooth hard spheres with inelastic collisions. For such a system, it is tempting to apply standard methods of kinetic theory and hydrodynamics to…

统计力学 · 物理学 2016-11-23 James W. Dufty

In this paper we present a generalization of a simple solid-on-solid epitaxial model of thin films growth, when surface morphology anisotropy is provoked by anisotropy in model control parameters: binding energy and/or diffusion barrier.…

凝聚态物理 · 物理学 2007-05-23 K. Malarz , A. Z. Maksymowicz

Transport coefficients, such as the mobility, thermal conductivity and shear viscosity, are quantities of prime interest in statistical physics. At the macroscopic level, transport coefficients relate an external forcing of magnitude…

数值分析 · 数学 2023-03-08 Renato Spacek , Gabriel Stoltz

Fluidisation is the process by which the weight of a bed of particles is supported by a gas flow passing through it from below. When fluidised materials flow down an incline, the dynamics of the motion differ from their non-fluidised…

流体动力学 · 物理学 2017-10-11 D. E. Jessop , A. J. Hogg , M. A. Gilbertson , C. Schoof

We introduce a class of continuum mechanical models aimed at describing the behaviour of viscoelastic fluids by incorporating concepts originated in the theory of solid plasticity. Within this class, even a simple model with constant…

软凝聚态物质 · 物理学 2024-09-04 Muhanna A. H Alrashdi , Giulio G. Giusteri

We study the structural changes occurring in the isotropic phase of the C$_{12}$=EO$_6$/H$_2$O lyotropic mixture (up to 35% surfactant weight concentration) upon increasing the concentration and temperature, from small individual micelles…

软凝聚态物质 · 物理学 2015-04-09 Doru Constantin , Éric Freyssingeas , Jean-François Palierne , Patrick Oswald