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We are interested in a kinetic equation intended to describe the interaction of particles with their environment. The environment is modeled by a collection of local vibrational degrees of freedom. We establish the existence of weak…

Analysis of PDEs · Mathematics 2016-03-14 Stephan De Bièvre , Arthur Vavasseur , Thierry Goudon

This paper considers the interaction between two droplets placed on a substrate in immediate vicinity. We show here that when the two droplets are of different fluids and especially when one of the droplet is highly volatile, a wealth of…

Fluid Dynamics · Physics 2015-06-11 Mathieu Sellier , Volker Nock , Cécile Gaubert , Claude Verdier

The motion of a thin elastic plate interacting with a viscous fluid is investigated. A periodic force acting on the plate is considered, which in a setting without damping could lead to a resonant response. The interaction with the viscous…

Analysis of PDEs · Mathematics 2021-03-02 Aday Celik , Mads Kyed

We present a generalization of the inertial coupling (IC) [Usabiaga et al. J. Comp. Phys. 2013] which permits the resolution of radiation forces on small particles with arbitrary acoustic contrast factor. The IC method is based on a…

Soft Condensed Matter · Physics 2013-12-16 F. Balboa Usabiaga , R. Delgado-Buscalioni

Various microfluidic systems, such as chemical and biological lab-on-a-chip devices, involve motion of multiple droplets within an immersing fluid in shallow micro-channels. Modeling the dynamics of such systems requires calculation of the…

Fluid Dynamics · Physics 2016-08-24 Itai Sarig , Yuli Starosvetsky , Amir D. Gat

The analysis of the secondary Bjerknes force between two bubbles suggests that this force is analogous to the electrostatic forces. The same analogy is suggested by the existence of a scattering cross section of an acoustic wave on a…

General Physics · Physics 2023-05-11 Ion Simaciu , Zoltan Borsos , Gheorghe Dumitrescu , Glauber T. Silva , Tiberiu Bărbat

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

Understanding and harnessing the coupling between lubrication pressure and elasticity provides materials design strategies for applications such as adhesives, coatings, microsensors, and biomaterials. Elastic deformation of compliant solids…

Soft Condensed Matter · Physics 2018-10-01 Yumo Wang , Georgia Pilkington , Charles Dhong , Joelle Frechette

We use a computational model to investigate the emergence of interaction forces between pairs of intruders in a horizontally vibrated granular fluid. The time evolution of a pair of particles shows a maximum of the likelihood to find the…

Soft Condensed Matter · Physics 2020-01-08 Joan Codina , Ignacio Pagonabarraga

We present a novel theory of the adhesive contact of linear viscoelastic materials against rigid substrates moving at constant velocity. Despite the non-conservative behavior of the system, the closure equation of the contact problem can be…

Soft Condensed Matter · Physics 2022-09-15 Giuseppe Carbone , Cosimo Mandriota , Nicola Menga

We propose a low-dimensional modeling approach to simulate the dynamics, acoustic emissions and interactions of cavitation bubbles, based on a quasi-acoustic assumption. This quasi-acoustic assumption accounts for the compressibility of the…

Fluid Dynamics · Physics 2024-12-10 Pierre Coulombel , Fabian Denner

Cohesive granular materials are found in many natural and industrial environments, but experimental platforms for exploring the innate mechanical properties of these materials are often limited by the difficulty of adjusting cohesion…

Soft Condensed Matter · Physics 2024-12-19 Nina M. Brown , Bryan VanSaders , Jason M. Kronenfeld , Joseph M. DeSimone , Heinrich M. Jaeger

An acoustic standing wave acts as a lattice of evenly spaced potential energy wells for sub-wavelength-scale objects. Trapped particles interact with each other by exchanging waves that they scatter from the standing wave. Unless the…

Soft Condensed Matter · Physics 2026-02-10 Mia C. Morrell , Leela Elliott , David G. Grier

Acoustic forces and torques are of immense importance for manipulation of particles, in particular in biomedical applications. While such forces and torques are well understood for small spherical particles with lowest-order monopole and…

Classical Physics · Physics 2025-03-25 Mikhail Smagin , Ivan Toftul , Konstantin Y. Bliokh , Mihail Petrov

A method based on the Rayleigh-Sommerfeld surface integral is provided, which makes it feasible to rigorously model, evaluate and compute the acoustic scattering and other mechanical effects of finite-aperture vortex beams such as the…

Classical Physics · Physics 2020-07-21 F. G. Mitri

We have developed a simulation model to describe particle adsorption to and desorption from liquid interfaces. Using this model we formulate a closed interfacial equation of state for repulsive elastic spheres. The effect of a long-range…

Soft Condensed Matter · Physics 2011-02-24 Robert D. Groot , Simeon D. Stoyanov

We study the dynamics of the solid to liquid transition for a model material made of elastic particles immersed in a viscous fluid. The interaction between particle surfaces includes their viscous lubrication, a sharp repulsion when they…

Fluid Dynamics · Physics 2015-05-14 P. Rognon , I. Einav , C. Gay

Mathematical models and numerical simulations are widely used in the field of hemodynamics, representing a valuable resource to better understand physiological and pathological processes. The theory behind the phenomenon is closely related…

Fluid Dynamics · Physics 2021-06-15 Giulia Bertaglia , Valerio Caleffi , Alessandro Valiani

Interaction is so ubiquitous that imaging a world free from it is a difficult fantasy exercise. At the same time, in understanding any complex physical system, our ability of accounting for the mutual interaction of its constituents is…

Quantum Physics · Physics 2015-01-19 Roberto D'Agosta

A theory of reciprocating contacts for linear viscoelastic materials is presented. Results are discussed for the case of a rigid sphere sinusoidally driven in sliding contact with a viscoelastic half-space. Depending on the size of the…

Materials Science · Physics 2016-05-04 Carmine Putignano , Giuseppe Carbone , Daniele Dini
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