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In these Lecture Notes we aim at clarifying how soft matter physics, and herein notably statistical mechanics and fluid mechanics, can be engaged to understand and manipulate non-equilibrium systems consisting of numerous (microscopic)…

Soft Condensed Matter · Physics 2025-05-27 Jean-François Joanny , Joseph O. Indekeu

Equilibrium statistical mechanics is intended to link the microscopic dynamics of particles to the thermodynamic laws for macroscopic quantities. However, the modern statistical theory is faced with significant difficulties, as applied to…

Statistical Mechanics · Physics 2016-03-15 A. G. Godizov , A. A. Godizov

Particle resuspension refers to the physical process by which solid particles deposited on a surface are, first, detached and, then, entrained away by the action of a fluid flow. In this study, we explore the dynamics of large and heavy…

Fluid Dynamics · Physics 2024-12-31 Hao Liu , Mireille Bossy , Bernhard Vowinckel , Christophe Henry

The authors present a study of the non equilibrium statistical properties of a one dimensional hard-rod fluid dissipating energy via inelastic collisions and subject to the action of a Gaussian heat bath, simulating an external driving…

Materials Science · Physics 2009-11-13 Umberto Marini-Bettolo-Marconi , Pedro Tarazona , Fabio Cecconi

Based on the fundamental Bogolyubov chain of equations, a model relating the structural and thermophysical properties of the nonequilibrium liquid systems under irradiation in stationary state is introduced. The obtained results suggest…

Statistical Mechanics · Physics 2016-03-28 L. A. Bulavin , K. V. Cherevko , D. A. Gavryushenko , V. M. Sysoev , T. S. Vlasenko

The elastic deformation of a soft solid induced by capillary forces crucially relies on the excess stress inside the solid-liquid interface. While for a liquid-liquid interface this "surface stress" is strictly identical to the "surface…

Soft Condensed Matter · Physics 2015-06-17 Joost H. Weijs , Jacco H. Snoeijer , Bruno Andreotti

An overview is presented of several diverse branches of work in the area of effectively 2D fluid equilibria which have in common that they are constrained by an infinite number of conservation laws. Broad concepts, and the enormous variety…

Fluid Dynamics · Physics 2022-12-27 Peter B. Weichman , J. B. Marston

Within a lattice model describing a binary mixture with fixed concentrations of the species we discuss the relation-ship between the surface tension of the mixture and the concentrations.

Statistical Mechanics · Physics 2016-08-16 Jean Ruiz , Joël De Coninck , Salvador Miracle-Sole

In this paper we report on 2D numerical simulations concerning linear and nonlinear evolution of surface-tension-driven instability in two-fluid systems heated from below using classical and phase-field models. In the phase-field formalism,…

Pattern Formation and Solitons · Physics 2015-06-26 Rodica Borcia , Domnic Merkt , Michael Bestehorn

The interrelation of dynamic processes active on separated time-scales in glasses and viscous liquids is investigated using a model displaying two time-scale bifurcations both between fast and secondary relaxation and between secondary and…

Disordered Systems and Neural Networks · Physics 2015-03-19 Andrea Crisanti , Luca Leuzzi , Matteo Paoluzzi

Thermophoresis is a transport phenomenon induced by a temperature gradient. Very small objects dispersed in a fluid medium and in a temperature gradient present a non homogeneous steady density. Analysing this phenomenon within the…

Statistical Mechanics · Physics 2022-01-25 J. M. Sancho

An unconstrained, non-linearly elastic, semi-infinite solid is maintained in a state of large static plane strain. A power-law relation between the pre-stretches is assumed and it is shown that this assumption is well-motivated physically…

Classical Physics · Physics 2008-12-09 J. G. Murphy , M. Destrade

This work focuses on the thermodynamics of pseudo-elastic models which represent the Mullins effect. Two established models are analyzed theoretically, their thermomechanical properties are derived, and certain critical points are…

Materials Science · Physics 2014-08-05 Christoph Naumann , Jörn Ihlemann

The estimation of the surface tension of water is theoretically dealt on the basis of the dipole molecular model. It is known that the experimentally determined surface tension of freshly exposed surface has a higher value than the nominal…

Chemical Physics · Physics 2007-05-23 Naohisa Ogawa , Yoshiki Matsuura

Cells and other soft particles are often forced to flow in confined geometries in both laboratory and natural environments, where the elastic deformation induces an additional drag and pressure drop across the particle. In contrast with…

Fluid Dynamics · Physics 2025-07-09 Charles Paul Moore , Hiba Belkadi , Brouna Safi , Gabriel Amselem , Charles N. Baroud

Despite decades of intense study, the mechanisms underlying the extraordinary dynamics of supercooled liquids as they approach the glass transition remain, at best, mis-characterized, and at worst, misunderstood. A long standing endeavor is…

Disordered Systems and Neural Networks · Physics 2017-01-04 Nicholas B. Weingartner , Chris Pueblo , K. F. Kelton , Zohar Nussinov

We explore the pressure of active particles on curved surfaces and its relation to other interfacial properties. We use both direct simulations of the active systems as well as simulations of an equilibrium system with effective (pair)…

Soft Condensed Matter · Physics 2019-05-14 René Wittmann , Frank Smallenburg , Joseph M. Brader

Noether's Theorem is familiar to most physicists due its fundamental role in linking the existence of conservation laws to the underlying symmetries of a physical system. Typically the systems are described in the particle-based context of…

Statistical Mechanics · Physics 2022-05-04 Sophie Hermann , Matthias Schmidt

A disordered quasi-liquid layer of water is thought to cover the ice surface, but many issues, such as its onset temperature, its thickness, or its actual relation to bulk liquid water have been a matter of unsettled controversy for more…

Soft Condensed Matter · Physics 2026-01-22 Luis G. MacDowell

A new first-principles statistical mechanics formulation is proposed to describe slow and dilated granular fluids, where prolonged intergranular contacts vitiate collision theory. The contacts, where all the important physics takes place,…

Soft Condensed Matter · Physics 2016-03-08 Raphael Blumenfeld