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Even the most regular stick-slip frictional sliding is always stochastic, with irregularity in both the intervals between slip events and the sizes of the associated stress drops. Applying small-amplitude oscillations to the shear force, we…

Soft Condensed Matter · Physics 2015-05-27 Rosario Capozza , Shmuel M. Rubinstein , Itay Barel , Michael Urbakh , Jay Fineberg

The way granular materials response to an applied shear stress is of the utmost relevance to both human activities and natural environment. One of the their most intriguing and less understood behavior, is the stick-instability, whose most…

Soft Condensed Matter · Physics 2018-11-07 Andrea Baldassarri , Mario A. Annunziata , Andrea Gnoli , Giorgio Pontuale , Alberto Petri

When some granular material contained into a silo is pushed upwards with a piston, an irregular stick-slip motion of the system of grains is observed. We show how one can adapt the `Scalar Arching Model' -- proposed as a model for giant…

Condensed Matter · Physics 2007-05-23 Philippe Claudin , Jean-Philippe Bouchaud

The equations for the sliding of a single block driven by an elastic force show numerically a fast and a slow step in their dynamics when a dimensionless parameter is very large, a limit pertinent for many applications. An asymptotic…

Geophysics · Physics 2011-07-19 Yves Pomeau , Martine Le Berre

An elastic layer slides on a rigid flat governed by Coulomb's friction law. We demonstrate that if the coefficient of friction is high enough, the sliding localizes within stick-slip pulses, which transform into opening waves propagating at…

Geophysics · Physics 2016-02-26 Vladislav A. Yastrebov

Non-reciprocal systems have been shown to sustain time-dependent patterns, most prominently travelling waves. The transition into these time-dependent states generally breaks time-translational invariance, representing a clear deviation…

Statistical Mechanics · Physics 2026-05-13 Emir Sezik , Gunnar Pruessner

We study numerically stick slip motions in a model of blocks and springs being pulled slowly. The sliding friction is assumed to change dynamically with a state variable. The transition from steady sliding to stick-slip is subcritical in a…

Chaotic Dynamics · Physics 2009-11-07 Hidetsugu Sakaguchi

We discuss the stick-slip motion of an elastic block sliding along a rigid substrate. We argue that for a given external shear stress this system shows a discontinuous nonequilibrium transition from a uniform stick state to uniform sliding…

Soft Condensed Matter · Physics 2009-11-10 Efim A. Brener , S. V. Malinin , V. I. Marchenko

We investigate the nature of friction in granular layers by means of numerical simulation focusing on the critical slip distance, over which the system relaxes to a new stationary state. Analyzing a transient process in which the sliding…

Geophysics · Physics 2009-10-19 Takahiro Hatano

We propose a new approach for properly analyzing stochastic time series by mapping the dynamics of time series fluctuations onto a suitable nonequilibrium surface-growth problem. In this framework, the fluctuation sampling time interval…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Alexander S. Balankin

We consider the motion of a fluid-immersed negatively buoyant particle in the vicinity of a thin compressible elastic wall, a situation that arises in a variety of technological and natural settings. We use scaling arguments to establish…

Soft Condensed Matter · Physics 2015-10-28 Thomas Salez , L. Mahadevan

We show that a scaling approach successfully characterizes clustering and intermittency in space and time, in systems of noninteracting particles driven by fluctuating surfaces. We study both the steady state and the approach to it, for…

Soft Condensed Matter · Physics 2019-01-15 Tapas Singha , Mustansir Barma

We study a model of rolling particles subject to stochastic fluctuations, which may be relevant in systems of nano- or micro-scale particles where rolling is an approximation for strong static friction. We consider the simplest possible…

Mathematical Physics · Physics 2016-10-04 Miranda Holmes-Cerfon

We are concerned with the dynamical behavior of solutions to semilinear wave systems with time-varying damping and nonconvex force potential. Our result shows that the dynamical behavior of solution is asymptotically stable without any…

Analysis of PDEs · Mathematics 2025-06-17 Zhe Jiao , Yong Xu , Lijing Zhao

We point out that in the first order time-dependent perturbation theory, the transition probability may behave nonsmoothly in time and have kinks periodically. Moreover, the detailed temporal evolution can be sensitive to the exact…

Quantum Gases · Physics 2015-09-24 J. M. Zhang , Masudul Haque

The tribology between surfaces can have a profound impact on the response of a mechanical system, such as how granular particles are driven to flow. In this work, we perform experiments that time-resolve the tangential and normal components…

Soft Condensed Matter · Physics 2023-11-13 Cheng-En Tsai , Jih-Chiang Tsai

We study fluctuations in the drag force experienced by an object moving through a granular medium. The successive formation and collapse of jammed states give a stick-slip nature to the fluctuations which are periodic at small depths but…

Disordered Systems and Neural Networks · Physics 2009-11-07 I. Albert , P. Tegzes , R. Albert , J. G. Sample , A. -L. Barabasi , T. Vicsek , P. Schiffer

Underactuated wheeled vehicles are commonly studied as nonholonomic systems with periodic actuation. Twistcar is a classical example inspired by a riding toy, which has been analyzed using a planar model of a dynamical system with…

Robotics · Computer Science 2025-07-09 Rom Levy , Ari Dantus , Zitao Yu , Yizhar Or

We study the dynamical response to small distortions of a lattice about its uniform state, drifting through a dissipative medium due to an external force, and show, analytically and numerically, that the fluctuations, both transverse and…

Soft Condensed Matter · Physics 2017-06-12 Pritha Dolai , Abhik Basu , Aditi Simha

In this paper, we consider a mass-spring-friction oscillator with the friction modelled by a regularized stiction model in the limit where the ratio of the natural spring frequency and the forcing frequency is on the same order of magnitude…

Dynamical Systems · Mathematics 2021-02-23 Kristian Uldall Kristiansen
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