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In this work we propose an extension to the analytical one-dimensional model proposed by E. Gnecco (Phys. Rev. Lett. 84:1172) to describe friction. Our model includes normal forces and the dependence with the angular direction of movement…

Computational Physics · Physics 2007-12-04 R. A. Dias , P. Z. Coura , M. Rapini , B. V. Costa

We use shear reversal simulations to explore the rheology of dense, non-Brownian suspensions, resolving lubrication forces between neighbouring particles and modelling particle surface contacts. The transient stress response to an abrupt…

Soft Condensed Matter · Physics 2016-01-13 Christopher Ness , Jin Sun

This paper advances an analytical incremental contact model for the purely elastic or elastic-perfectly plastic Gaussian rough surfaces. The contact is modelled by the accumulation of identical circular contacts with radius given by the…

Materials Science · Physics 2022-04-06 Sihe Wang , Weike Yuan , Xuanming Liang , Gangfeng Wang

We report a numerical study accounting for the electrical response of a slipping multi-contact interface and of their variations with the sliding speed. We characterize these variations by analyzing the voltage noise across the contact from…

Applied Physics · Physics 2018-10-31 Eddy Chevallier

The real area of contact governs, in part, the magnitude of the friction force, yet its time evolution in rough viscoelastic interfaces remains incompletely understood. In experiments of contact between polymethylmethacrylate blocks under…

Soft Condensed Matter · Physics 2026-05-25 Zichen Li , Renald Brenner , Lucas Frérot

Threshold models try to explain the consequences of social influence like the spread of fads and opinions. Along with models of epidemics, they constitute a major theoretical framework of social spreading processes. In threshold models on…

Physics and Society · Physics 2014-08-27 Fariba Karimi , Petter Holme

We propose a solution to the problem of time for systems with a single global Hamiltonian constraint. Our solution stems from the observation that, for these theories, conventional gauge theory methods fail to capture the full classical…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Sean Gryb , Karim Thebault

Empirical process theory for i.i.d. observations has emerged as a ubiquitous tool for understanding the generalization properties of various statistical problems. However, in many applications where the data exhibit temporal dependencies…

Statistics Theory · Mathematics 2024-01-18 Nabarun Deb , Debarghya Mukherjee

Accurately predicting friction in sliding interfaces that contain third body wear particles is critical for engineering applications such as sliding movement in pistons, bearings, or metal forming. We present a hierarchical multiscale…

Although the concepts of age, survival and transit time have been widely used in many fields, including population dynamics, chemical engineering, and hydrology, a comprehensive mathematical framework is still missing. Here we discuss…

Populations and Evolution · Quantitative Biology 2016-02-17 Salvatore Calabrese , Amilcare Porporato

We study the dynamics of a tagged particle in a glassy system under shear. The recently developed integration through transients approach based on mode coupling theory, is continued to arrive at the equations for the tagged particle…

Soft Condensed Matter · Physics 2011-07-07 Matthias Krüger , Fabian Weysser , Matthias Fuchs

The analysis of social networks, in particular those describing face-to-face interactions between individuals, is complex due to the intertwining of the topological and temporal aspects. We revisit them both, using public data recorded by…

Physics and Society · Physics 2024-02-07 Stephane Plaszczynski , Gilberto Nakamura , Basile Grammaticos , Mathilde Badoual

In this paper, we present a comprehensive analysis of the contact mechanics associated with a micron-sized sliding asperity, which plays a crucial role in the abrasive wear processes. Utilising nanoscratch testing, we experimentally…

Materials Science · Physics 2024-11-26 Anna Kareer , Eralp Demir , Edmund Tarleton , Christopher Hardie

We introduce a solvable Lagrangian model for droplet bouncing. The model predicts that, for an axisymmetric drop, the contact time decreases to a constant value with increasing Weber number, in qualitative agreement with experiments,…

Fluid Dynamics · Physics 2017-02-08 Matthew Andrew , Julia M. Yeomans , Dmitri O. Pushkin

The origin of the abrupt shear thickening observed in some dense suspensions has been recently argued to be a transition from frictionless (lubricated) to frictional interactions between immersed particles. The Wyart-Cates rheological…

Soft Condensed Matter · Physics 2021-07-08 Romain Mari , Ryohei Seto

The generalized elastic model encompasses several physical systems such as polymers, membranes, single file systems, fluctuating surfaces and rough interfaces. We consider the case of an applied localized potential, namely an external force…

Statistical Mechanics · Physics 2012-03-16 Alessandro Taloni , Aleksei Chechkin , Joseph Klafter

Starting from a classical Budyko-Sellers-Ghil energy balance model for the average surface temperature of the Earth, a nonautonomous version is designed by allowing the solar irradiance and the cloud cover coefficients to vary with time in…

Atmospheric and Oceanic Physics · Physics 2025-11-25 Iacopo P. Longo , Rafael Obaya , Ana M. Sanz

Most materials age, and their properties change over time. The aging of materials is reflected in their mechanical responses to external stress and strain, which exhibit logarithmic relaxation and universal power-law creep. Those responses…

Soft Condensed Matter · Physics 2026-01-21 Vikash Pandey

Soft elastic sheets resting on rigid surfaces develop wrinkles, rucks, and folds due to the combined influence of elasticity, gravity, and contact interactions. Despite their ubiquity, the principles governing their morphology and…

Soft Condensed Matter · Physics 2026-05-18 Keisuke Yoshida , Hirofumi Wada

We introduce a new model to study the effect of surface roughness on the jamming transition. By performing numerical simulations, we show that for a smooth surface, the jamming transition density and the contact number at the transition…

Soft Condensed Matter · Physics 2020-05-27 Harukuni Ikeda , Carolina Brito , Matthieu Wyart , Francesco Zamponi