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We present a theoretical and numerical investigation of the effect of a time-varying external driving force on interface growth. First, we derive a relation between the roughening exponents which comes from a generalized Galilean…

Condensed Matter · Physics 2010-12-17 E. Hernandez-Garcia , T. Ala-Nissila , Martin Grant

Domains walls and topological defects in ferroelectric materials have emerged as a powerful new paradigm for functional electronic devices including memory and logic. Similarly, wall interactions and dynamics underpin a broad range of…

Fluid droplets can be induced to move over rigid or flexible surfaces under external or body forces. We describe the effect of variations in material properties of a flexible substrate as a mechanism for motion. In this paper, we consider a…

Soft Condensed Matter · Physics 2019-08-27 Aaron Bardall , Shih-Yuan Chen , Karen E. Daniels , Michael Shearer

In natural settings, intermittent dynamics are ubiquitous and often arise from a coupling between external driving and spatial heterogeneities. A well-known example is the generation of transient, turbulent puffs of fluid through a pipe…

Adaptation and Self-Organizing Systems · Physics 2020-07-01 Guram Gogia , Wentao Yu , Justin C. Burton

The dynamics of a membrane is a coupled system comprising a moving elastic surface and an incompressible membrane fluid. We will consider a reduced elastic surface model, which involves the evolution equations of the moving surface, the…

Analysis of PDEs · Mathematics 2015-05-27 Wei Wang , Pingwen Zhang , Zhifei Zhang

The motion of driven interfaces in random media at finite temperature $T$ and small external force $F$ is usually described by a linear displacement $h_G(t) \sim V(F,T) t$ at large times, where the velocity vanishes according to the creep…

Disordered Systems and Neural Networks · Physics 2008-11-04 Cecile Monthus , Thomas Garel

Adaptive network dynamical systems describe the co-evolution of dynamical quantities on the nodes as well as dynamics of the network connections themselves. For dense networks of many nodes, the resulting dynamics are typically…

Adaptation and Self-Organizing Systems · Physics 2025-09-18 Erik Andreas Martens , Christian Bick

Drops on a free-flow/porous-medium-flow interface have a strong influence on the exchange of mass, momentum and energy between the two macroscopic flow regimes. Modeling droplet-related pore-scale processes in a macro-scale context is…

Computational Physics · Physics 2021-03-17 Sina Ackermann , Carina Bringedal , Rainer Helmig

The escape probability $\xi_{x}$ from a site $x$ of a one-dimensional disordered lattice with trapping is treated as a discrete dynamical evolution by random iterations over nonlinear maps parametrized by the right and left jump…

Condensed Matter · Physics 2016-08-31 Thomas Wichmann , Achille Giacometti , K. P. N. Murthy

A model system inspired by recent experiments on the dynamics of a folded protein under the influence of a sinusoidal force is investigated and found to replicate many of the response characteristics of such a system. The essence of the…

Soft Condensed Matter · Physics 2015-09-30 Craig Fogle , Joseph Rudnick , David Jasnow

We numerically study the dynamics of a three-dimensional contractile fluid droplet in the bulk and under confinement. We show that varying activity leads to a variety of shapes and motile regimes whose motion is driven by an interplay…

Soft Condensed Matter · Physics 2026-03-31 Adriano Tiribocchi , Marco Lauricella , Andrea Montessori , Sauro Succi

It is known that beyond a critical speed, the straight contact line of a partially-wetting liquid destabilizes into a corner. In one of the earliest theoretical works exploring this phenomenon, [L. Limat and H. A. Stone, Europhys. Lett.…

Fluid Dynamics · Physics 2024-08-12 Akhil Varma

This article is an invitation. It is, first, an invitation to consider as a subject worthy of attention the wide range of situations where small discrete elements, either bubbles, droplets or solid particles, are embedded in turbulent…

Fluid Dynamics · Physics 2023-11-06 Jean-Pierre Minier , Christophe Henry

The propagation and roughening of a liquid-gas interface moving through a disordered medium under the influence of capillary forces is considered. The system is described by a phase-field model with conserved dynamics and spatial disorder…

Statistical Mechanics · Physics 2009-10-31 M. Dube , M. Rost , K. Elder , M. Alava , S. Majaniemi , T. Ala-Nissila

We investigate the steady-state organisation of active particles residing on an interface. Particle activity induces interface deformations, while the local shape of the interface guides particle movement. We consider multiple species of…

Soft Condensed Matter · Physics 2025-05-28 Love Grover , Rajeev Kapri , Abhishek Chaudhuri

We present our recent study on rough adhesive contacts of viscoelastic materials in steady-state sliding, focusing on the interplay between adhesion and viscoelasticity by means of a novel energy approach. We investigate tribological…

Soft Condensed Matter · Physics 2024-11-13 Cosimo Mandriota , Nicola Menga , Giuseppe Carbone

We study the dynamical behavior of a one dimensional interface interacting with a sticky unpenetrable substrate or wall. The interface is subject to two effects going in opposite directions. Contact between the interface and the substrate…

Probability · Mathematics 2020-07-20 Hubert Lacoin , Shangjie Yang

Two known distinct examples of one-dimensional systems which are known to exhibit a phase transition are critically examined: (A) a lattice model with harmonic nearest-neighbor elastic interactions and an on-site Morse potential, and (B)…

Statistical Mechanics · Physics 2007-06-17 N. Theodorakopoulos

We study the finite size fluctuations at the depinning transition for a one-dimensional elastic interface of size $L$ displacing in a disordered medium of transverse size $M=k L^\zeta$ with periodic boundary conditions, where $\zeta$ is the…

Statistical Mechanics · Physics 2013-12-09 A. B. Kolton , S. Bustingorry , E. E. Ferrero , A. Rosso

Chaotic dynamics of the dripping faucet was investigated both experimentally and theoretically. We measured continuous change in drop position and velocity using a high-speed camera. Continuous trajectories of a low-dimensional chaotic…

Chaotic Dynamics · Physics 2015-06-26 Ken Kiyono , Tomoo Katsuyama , Takuya Masunaga , Nobuko Fuchikami
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