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A deterministic theory describing the melting of an ultrathin lubricant film between two atomically smooth solid surfaces has been developed. The lubricant state is described by introducing a parameter of excess volume that arises owing to…

Fluid Dynamics · Physics 2011-03-31 I. A. Lyashenko , A. V. Khomenko , L. S. Metlov

Glacier and ice-sheet motion is fundamental to glaciology. However, we still lack a consensus for the optimal way to relate basal velocity to basal traction for large-scale glacier and ice-sheet models (the 'sliding relationship').…

Geophysics · Physics 2025-12-22 Robert Law , David Chandler , Phillip Voigt , Ivan Utkin , Andreas Born

A deterministic theory describing the behavior of an ultrathin lubricant film between two atomically-smooth solid surfaces is proposed. For the description of lubricant state the parameter of excess volume arising due to chaotization of…

Statistical Mechanics · Physics 2011-03-30 I. A. Lyashenko , A. V. Khomenko , L. S. Metlov

The temperature increase in the contact regions between solids in sliding contact has a huge influence on friction and wear. Here we test an analytical theory for the flash temperature, valid for randomly rough surface with multiscale…

Soft Condensed Matter · Physics 2026-04-20 B. N. J. Persson

We investigate the effective coupling between heat and fluid dynamics within a thin fluid layer in contact with a solid structure via a rough surface. Moreover, the opposing vertical surfaces of the thin layer are in relative motion. This…

Analysis of PDEs · Mathematics 2026-04-17 Tom Freudenberg , Michael Eden

Self-propelling active matter relies on the conversion of energy from the undirected, nanoscopic scale to directed, macroscopic motion. One of the challenges in the design of synthetic active matter lies in the control of dynamic states, or…

Fluid Dynamics · Physics 2025-03-10 Prashanth Ramesh , Yibo Chen , Petra Räder , Svenja Morsbach , Maziyar Jalaal , Corinna C Maass

We study the sliding friction for viscoelastic solids, e.g., rubber, on hard flat substrate surfaces. We consider first the fluctuating shear stress inside a viscoelastic solid which results from the thermal motion of the atoms or molecules…

Soft Condensed Matter · Physics 2007-07-12 B. N. J. Persson , A. I. Volokitin

The mechanisms governing the transition to turbulence in natural convection boundary layers along strongly heated vertical walls remain neither very clear nor well understood, because of the lack of experiments and the difficulties of…

Fluid Dynamics · Physics 2008-12-23 Thierry De Larochelambert

The influence of solidification on the spreading of liquids is addressed in the situation of an advancing liquid wedge on a cold substrate at $T_p < T_f$, of infinite thermal conductivity, where $T_f$ is the melting temperature. We propose…

Fluid Dynamics · Physics 2020-10-28 Rémy Herbaut , Julien Dervaux , Philippe Brunet , Laurent Royon , Laurent Limat

Relative motion between soft wet solids arises in a number of applications in natural and artificial settings, and invariably couples elastic deformation and fluid flow. We explore this in a minimal setting by considering a fluid-immersed…

Soft Condensed Matter · Physics 2016-09-28 Baudouin Saintyves , Théo Jules , Thomas Salez , L. Mahadevan

The melting of ultrathin lubricant film is studied by friction between atomically flat surfaces. The fluctuations of lubricant temperature are taken into account defined by Ornstein-Uhlenbeck process. The phase diagrams and portraits are…

Statistical Mechanics · Physics 2007-05-23 A. V. Khomenko

We investigate the morphodynamics of an ice layer over a turbulent stream of warm water using numerical simulations. At low water speeds, characteristic streamwise undulations appear, which can be explained by the Reynolds analogy between…

Fluid Dynamics · Physics 2024-06-19 Diego Perissutti , Cristian Marchioli , Alfredo Soldati

In this paper we develop and significantly extend the thermal phase change model, introduced in [12], describing the process of paraffinic wax layer formation on the interior wall of a circular pipe transporting heated oil, when subject to…

Analysis of PDEs · Mathematics 2022-09-13 Sophie Lauren Mason , John Christopher Meyer , David John Needham

In the framework of Langevin dynamics, we demonstrate clear evidence of the peculiar quantized sliding state, previously found in a simple 1D boundary lubricated model [Phys. Rev. Lett. 97, 056101 (2006)], for a substantially less idealized…

We present a study of sliding friction for rigid triangular steel sliders on soft rubber substrates under both lubricated and dry conditions. For rubber surfaces lubricated with a thin film of silicone oil, the measured sliding friction at…

Soft Condensed Matter · Physics 2025-05-27 R. Xu , B. N. J. Persson

The temperature dependence of the hydrodynamic boundary condition between a PDMS melt and two different non-attractive surfaces made of either an OTS (octadecyltrichlorosilane) self-assembled monolayer (SAM) or a grafted layer of short PDMS…

The friction of a stationary moving skate on smooth ice is investigated, in particular in relation to the formation of a thin layer of water between skate and ice. It is found that the combination of ploughing and sliding gives a friction…

Other Condensed Matter · Physics 2018-01-22 J. M. J. van Leeuwen

Directional solidification occurs in industrial and natural processes, such as freeze-casting, metal processing, biological cryopreservation and freezing of soils. Translational temperature gradient stage allows to control the process of…

Applied Physics · Physics 2020-11-10 Michael Chasnitsky , Victor Yashunsky , Ido Braslavsky

A submerged finite cylinder moving under its own weight along a soft incline lifts off and slides at a steady velocity while also spinning. Here, we experimentally quantify the steady spinning of the cylinder and show theoretically that it…

Using molecular dynamics based on Langevin equations with a coordinate- and velocity-dependent damping coefficient, we study the frictional properties of a thin layer of "soft" lubricant (where the interaction within the lubricant is weaker…

Statistical Mechanics · Physics 2015-05-20 O. M. Braun , Nicola Manini
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