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In many physical applications solitons propagate on supports whose topological properties may induce new and interesting effects. In this paper, we investigate the propagation of solitons on chains with a topological inhomogeneity generated…

Pattern Formation and Solitons · Physics 2009-11-11 R. Burioni , D. Cassi , P. Sodano , A. Trombettoni , A. Vezzani

We report the propagation of highly nonlinear solitary waves in heterogeneous, periodic granular media using experiments, numerical simulations, and theoretical analysis. We examine periodic arrangements of particles in experiments in which…

Pattern Formation and Solitons · Physics 2009-11-13 Mason A. Porter , Chiara Daraio , Eric B. Herbold , Ivan Szelengowicz , P. G. Kevrekidis

The distribution P(F) of contact forces F in a homogeneous isotropic disordered granular sample subject to uniform triaxial stress field is studied using a model where forces propagate and collide. Collisions occur at grain and obey given…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

Like a free particle, the initial growth of a broad (relative to lattice spacing) wavepacket placed on an ordered lattice is slow (zero initial slope) and becomes linear in $t$ at long time. On a disordered lattice, the growth is inhibited…

Chemical Physics · Physics 2023-05-10 Bingyu Cui , Maxim Sukharev , Abraham Nitzan

Using an interface displacement model derived from a microscopic density functional theory we investigate thin liquidlike wetting layers adsorbed on flat substrates with an embedded chemical heterogeneity forming a stripe. For a wide range…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , S. Dietrich , A. O. Parry

A lattice model is used to study repulsive active particles at a planar surface. A rejection-free Kinetic Monte Carlo method is employed to characterize the wetting behaviour. The model predicts a mobility induced phase separation of active…

Soft Condensed Matter · Physics 2020-11-12 Pedro Neta , Mykola Tasinkevych , Margarida Telo da Gama , Cristóvão Dias

Two phase solid-fluid mixture models are ubiquitous in biological applications. For instance, models for growth of tissues and biofilms combine time dependent and quasi-stationary boundary value problems set in domains whose boundary moves…

Analysis of PDEs · Mathematics 2024-01-17 Ana Carpio , Gema Duro

The stability of interfaces and the mechanisms of thin film growth on semiconductors are issues of central importance in electronic devices. These issues can only be understood through detailed study of the relevant microscopic processes.…

mtrl-th · Physics 2016-09-07 Efthimios Kaxiras

We probe the temperature dependence of friction at the interface between a glassy poly(methylmethacrylate) lens and a flat substrate coated with a methyl-terminated self-assembled monolayer. The monolayer exhibits density defects which act…

Soft Condensed Matter · Physics 2007-12-06 Lionel Bureau

Dynamic rupture propagation along an interface between two different elastic solids under shear dominated loading is studied numerically by a 2-D lattice particle model (LPM). The configuration of the lattice particle model consists of two…

Geophysics · Physics 2008-07-21 Baoping Shi , Yanheng Li

We investigate the long-time evolution of branching diffusion processes (starting with a single particle) in inhomogeneous media. The qualitative behavior of the processes depends on the intensity of the branching. We analyze the…

Probability · Mathematics 2012-07-03 Leonid Koralov , Stanislav Molchanov

We theoretically study the phase behaviour of monolayers of hard rod-plate mixtures using a fundamental-measure density functional in the restricted-orientation (Zwanzig) approximation. We consider both species to be subject to an…

Soft Condensed Matter · Physics 2016-09-01 Yuri Martinez-Raton , Miguel Gonzalez-Pinto , Enrique Velasco

We study various manifestations of structural crossover in the properties of a binary mixture of hard-spheres. For homogeneous mixtures that are sufficiently asymmetric, there is a crossover line in the phase diagram such that for…

Soft Condensed Matter · Physics 2009-11-11 C. Grodon , M. Dijkstra , R. Evans , R. Roth

Statistics and thermally activated dynamics of crack nucleation and propagation in a two-dimensional heterogeneous material containing quenched randomly distributed defects are studied theoretically. Using the generalized Griffith criterion…

Disordered Systems and Neural Networks · Physics 2010-10-28 J. Kierfeld , V. M. Vinokur

The dynamics of a single crack moving through a heterogeneous medium is studied in the quasi-static approximation. Equations of motion for the crack front are formulated and the resulting scaling behaviour analyzed. In a model scalar system…

Disordered Systems and Neural Networks · Physics 2009-10-28 Sharad Ramanathan , Deniz Ertaş , Daniel S. Fisher

The complicated dynamics of the contact line of a moving droplet on a solid substrate often hamper the efficient modeling of microfluidic systems. In particular, the selection of the effective boundary conditions, specifying the contact…

We study the problem of homogenization for inertial particles moving in a time dependent random velocity field and subject to molecular diffusion. We show that, under appropriate assumptions on the velocity field, the large--scale,…

Mathematical Physics · Physics 2007-05-23 G. A. Pavliotis , A. M. Stuart , K. C. Zygalakis

We consider counterions in the presence of a single planar surface with a spatially inhomogeneous charge distribution using Monte-Carlo simulations and strong-coupling theory. For high surface charges, multivalent counterions, or pronounced…

Soft Condensed Matter · Physics 2009-11-07 Andre G Moreira , Roland R Netz

In nature, high-speed raindrops often impact and spread on particulate surfaces (e.g., soil, plant leaves with spores or pollen). We study the dynamics of droplet impact on a loosely packed monolayer of particles by combining experimental…

Fluid Dynamics · Physics 2021-11-10 Ehsan Esmaili , Zih-Yin Chen , Anupam Pandey , Seungho Kim , Sungyon Lee , Sunghwan Jung

Transition metal dichalcogenides are 2D structures with remarkable electronic, chemical, optical and mechanical properties. Monolayer and crystal properties of these structures have been extensively investigated, but a detailed…

Mesoscale and Nanoscale Physics · Physics 2018-01-18 Y. M. Jaques , P. Manimunda , Y. Nakanishi , S. Susarla , C. F. Woellner , S. Bhowmick , S. A. S. Asif , D. S. Galvão , C. S. Tiwary , P. M. Ajayan
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