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The dynamics of thin films on a horizontal solid substrate is investigated in the case of non-Newtonian fluids exhibiting normal stress differences, the rheology of which is strongly non-linear. Two coupled equations of evolution for the…

Fluid Dynamics · Physics 2015-06-26 Arezki Boudaoud

Modeling human dynamics responsible for the formation and evolution of the so-called social networks - structures comprised of individuals or organizations and indicating connectivities existing in a community - is a topic recently…

Computers and Society · Computer Science 2007-05-23 Victor V. Kryssanov , Frank J. Rinaldo , Evgeny L. Kuleshov , Hitoshi Ogawa

A limited mobility nonequilibrium solid-on-solid dynamical model for kinetic surface growth is introduced as a simple description for the morphological evolution of a growing interface under random vapor deposition and surface diffusion…

Statistical Mechanics · Physics 2009-10-31 S. Das Sarma , P. Punyindu

We have explored the phase behavior of a set of water-like models in slit pores of nanoscopic dimensions. The interaction between water and pore walls mimics the graphite surface. A version of density functional method is used as…

Soft Condensed Matter · Physics 2021-10-12 O. Pizio , S. Sokolowski , V. M. Trejos

Elaborating reliable and versatile strategies for efficient light coupling between free space and thin films is of crucial importance for new technologies in energy efficiency. Nanostructured materials have opened unprecedented…

Optics · Physics 2013-04-10 Kevin Vynck , Matteo Burresi , Francesco Riboli , Diederik S. Wiersma

Networks built to model real world phenomena are characeterised by some properties that have attracted the attention of the scientific community: (i) they are organised according to community structure and (ii) their structure evolves with…

Social and Information Networks · Computer Science 2019-09-04 Giulio Rossetti , Rémy Cazabet

Many processes in eukaryotic cells, including cell motility, rely on the growth of branched actin networks from surfaces. Despite its central role the mechano-chemical coupling mechanisms which guide the growth process are poorly…

Soft Condensed Matter · Physics 2015-06-23 Karin John , Denis Caillerie , Chaouqi Misbah

Pendant drops suspended on the underside of a wet substrate are known to accumulate fluid from the surrounding thin liquid film, a process that often results in dripping. The growth of such drops is hastened by their ability to translate…

Fluid Dynamics · Physics 2021-08-02 Etienne Jambon-Puillet , Pier Giuseppe Ledda , François Gallaire , P. -T. Brun

Inspired by recent experimental observation of patterning at the membrane of a living cell, we propose a generic model for the dynamics of a fluctuating interface driven by particle-like inclusions which stimulate its growth. We find that…

Soft Condensed Matter · Physics 2019-07-25 F. Cagnetta , M. R. Evans , D. Marenduzzo

Polydisperse fibre networks are the basis of many natural and man-made architectures, ranging from high-performance bio-based materials to components of living cells and tissues. The formation and persistence of such networks are given by…

Soft Condensed Matter · Physics 2019-03-28 Christophe Brouzet , Nitesh Mittal , Fredrik Lundell , Daniel Söderberg

Consider the three-dimensional flow of a viscous Newtonian fluid upon an abitrarily curved substrate when the fluid film is thin as occurs in many draining, coating and biological flows. We derive a model of the dynamics of the film, the…

patt-sol · Physics 2008-02-03 R. Valery Roy , A. J. Roberts , M. E. Simpson

We study the evolution of a random weighted network with complex nonlinear dynamics at each node, whose activity may cease as a result of interactions with other nodes. Starting from a knowledge of the micro-level behaviour at each node, we…

Statistical Mechanics · Physics 2007-05-23 Sitabhra Sinha , Sudeshna Sinha

Branched actin networks at the leading edge of a crawling cell evolve via protein-regulated processes such as polymerization, depolymerization, capping, branching, and severing. A formulation of these processes is presented and analyzed to…

Soft Condensed Matter · Physics 2009-11-13 Ajay Gopinathan , Kun-Chun Lee , J. M. Schwarz , Andrea J. Liu

Selected theoretical developments in modeling of deposition of submicrometer size (submicron) particles on solid surfaces, with and without surface diffusion, of interest in colloid, polymer, and certain biological systems, are surveyed. We…

Materials Science · Physics 2008-10-16 Vladimir Privman

Magnetron sputtering has also been used to deposit thin films of some materials and it has significant technological importance. A modeling on deposition of epitaxial thin films of Yttrium Stabilized Zirconia (YSZ) was done the diffusion of…

Materials Science · Physics 2016-11-24 A. S Bhattacharyya , P. Prabhakar , R. P. Kumar , S. Sharma , S. K. Raj , R. Ratn , P. Kommu

Different types of interactions coexist and coevolve to shape the structure and function of a multiplex network. We propose here a general class of growth models in which the various layers of a multiplex network coevolve through a set of…

Physics and Society · Physics 2014-10-15 Vincenzo Nicosia , Ginestra Bianconi , Vito Latora , Marc Barthelemy

Free boundaries of biofilms advancing on surfaces evolve according to conservation laws coupled with systems of partial differential equations for velocities, pressures and chemicals affecting cell behavior. Thin film approximations lead to…

Analysis of PDEs · Mathematics 2024-03-18 Ana Carpio , Gema Duro

Biofilm growth changes many physical properties of porous media such as porosity, permeability and mass transport parameters. The growth depends on various environmental conditions, and in particular, on flow rates. Modeling the evolution…

We present a general model for the growth of weighted networks in which the structural growth is coupled with the edges' weight dynamical evolution. The model is based on a simple weight-driven dynamics and a weights' reinforcement…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

This chapter discusses the interplay between structure and dynamics in complex networks. Given a particular network with an endowed dynamics, our goal is to find partitions aligned with the dynamical process acting on top of the network. We…

Social and Information Networks · Computer Science 2020-05-08 Michael T. Schaub , Jean-Charles Delvenne , Renaud Lambiotte , Mauricio Barahona
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