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The motion of a block slipping on a surface is a well studied problem for flat and circular surfaces, but the necessary conditions for the block to leave (or not) the surface deserve a detailed treatment. In this article, using basic…

Soft Condensed Matter · Physics 2020-01-07 Felipe González-Cataldo , Gonzalo Gutiérrez , Julio Yañez

The principles behind the sharp, singular structures in a crumpled sheet are well understood. Here we discuss more general ways of exploiting such sharp structures to control the shape of a sheet by deforming or forcing it elsewhere. Often,…

Soft Condensed Matter · Physics 2025-03-24 Thomas A. Witten , Anna Movsheva

New aspects of a relation between lattice and dislocation structures are examined within a physically transparent theoretical scheme. Predicted features originating from the lattice discreteness include: (i) multiple core dislocation…

Materials Science · Physics 2007-05-23 Oleg N. Mryasov , Yu. N. Gornostyrev , A. J. Freeman

Invasion fronts in ecology are well studied but very few mathematical results concern the case with variable motility (possibly due to mutations). Based on an apparently simple reaction-diffusion equation, we explain the observed phenomena…

We formalize the intuitive idea of a labelled discrete surface which evolves in time, subject to two natural constraints: the evolution does not propagate information too fast; and it acts everywhere the same.

Discrete Mathematics · Computer Science 2014-04-02 Pablo Arrighi , Simon Martiel , Zizhu Wang

Trajectory analysis is not only about obtaining movement data, but it is also of paramount importance in understanding the pattern in which an object moves through space and time, as well as in predicting its next move. Due to the…

Machine Learning · Computer Science 2025-06-26 Chanuka Don Samarasinghage , Dhruv Gulabani

Using molecular dynamics we study the dependence of the friction force on the sliding speed when an elastic slab (block) is sliding on a rigid substrate with a ${\rm sin} (q_0 x)$ surface height profile. The friction force is nearly…

Soft Condensed Matter · Physics 2020-02-24 J. Wang , A. Tiwari , I. M. Sivebaek , B. N. J Persson

Stiff forces, which bind objects together or otherwise confine motion, are found widely in soft-matter systems - colloids with short range attractions, ligand-receptor contacts, particles in optical traps, fibres that resist stretching,…

Soft Condensed Matter · Physics 2026-01-15 Sophie Marbach , Adam Carter , Miranda Holmes-Cerfon

We follow the time sequence of binary elastic collisions in a small collection of hard-core particles. Intervals between the collisions are characterized by the numbers of collisions of different pairs in a given time. It was shown…

Chaotic Dynamics · Physics 2012-02-21 Alexander Jonathan Vidgop , Itzhak Fouxon

Drops of active liquid crystal have recently shown the ability to self-propel, which was associated with topological defects in the orientation of active filaments [Sanchez {\em et al.}, Nature {\bf 491}, 431 (2013)]. Here, we study the…

Soft Condensed Matter · Physics 2016-07-05 Diana Khoromskaia , Gareth P. Alexander

Contacts between particles in dense, sheared suspensions are believed to underpin much of their rheology. Roughness and adhesion are known to constrain the relative motion of particles, and thus globally affect the shear response, but an…

We describe models of single-field inflation with small and sharp step features in the potential (and sound speed) of the inflaton field, in the context of the Effective Field Theory of Inflation. This approach allows us to study the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Nicola Bartolo , Dario Cannone , Sabino Matarrese

We study the capture of particles advected by flows around a fixed cylinder. We derive theoretically the power law of the capture efficiency, usually obtained from data fitting only. Simulations of particle trajectories reveal that captured…

Fluid Dynamics · Physics 2020-12-15 Mouad Boudina , Frédérick P. Gosselin , Stéphane Étienne

Mixing of two fluids can lead to the formation of a precipitate. If one of the fluids is injected into a confined space filled with the other, a created precipitate disrupts the flow locally and forms complex spatiotemporal patterns. The…

Soft Condensed Matter · Physics 2023-12-12 Shunsuke Tanaka , Kojiro Otoguro , Miyuki Kunihiro , Hiroki Ishikawa , Yutaka Sumino

Interaction between extended defects and impurities lies at the heart of many physical phenomena in materials science. Here we revisit the ubiquitous problem of the driven motion of an extended defect in a field of mobile impurities, which…

Condensed Matter · Physics 2009-11-10 Mikko Haataja , David J. Srolovitz , Yannis G. Kevrekidis

This paper introduces a modeling framework that is suitable to resolve singularities of impact phenomena encountered in applications. The method involves an exact transformation that turns the continuum, often partial differential equation…

Dynamical Systems · Mathematics 2014-01-21 Robert Szalai

We explore the process of initiating motion through a granular medium by measuring the force required to push a flat circular plate upward from underneath the medium. In contrast to previous measurements of the drag and penetration forces,…

Soft Condensed Matter · Physics 2015-05-20 D. J. Costantino , T. J. Scheidemantel , M. B. Stone , C. Conger , K. Klein , M. Lohr , Z. Modig , P. Schiffer

I study a recently proposed statistical model of earthquake dynamics that incorporates aging as a fundamental ingredient. The model is known to generate earthquake sequences that quantitatively reproduce the spatial and temporal clustering…

Statistical Mechanics · Physics 2015-05-19 E. A. Jagla

We study long-range morphological changes in atomic monolayers on solid substrates induced by different types of defects; e.g., by monoatomic steps in the surface, or by the tip of an atomic force microscope (AFM), placed at some distance…

Soft Condensed Matter · Physics 2009-11-07 H. Schiessel , G. Oshanin , A. M. Cazabat , M. Moreau

Recently, a paradoxical effect has been demonstrated in which transport of a free Brownian particle driven by active fluctuations in the form of white Poisson shot noise can be significantly enhanced when it is additionally subjected to a…

Statistical Mechanics · Physics 2025-11-27 K. Białas , J. Spiechowicz