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Hydrodynamic interactions play an important role in many areas of soft matter science. In simulations with implicit solvent, various techniques such as Brownian or Stokesian dynamics explicitly include hydrodynamic interactions a posteriori…

Soft Condensed Matter · Physics 2018-11-16 Gerhard Jung , Friederike Schmid

The shear stress autocorrelation function has been studied recently by molecular dynamics simulation using the 1/q^n potential for very large n. The results are analyzed and interpreted here by comparing them to the shear stress response…

Statistical Mechanics · Physics 2009-11-07 James W. Dufty

We have developed a new technique to measure viscoelasticity in soft materials such as polymer solutions, by monitoring thermal fluctuations of embedded probe particles using laser interferometry in a microscope. Interferometry allows us to…

Soft Condensed Matter · Physics 2009-10-30 B. Schnurr , F. Gittes , F. C. MacKintosh , C. F. Schmidt

Active microrheology is a valuable tool to determine viscoelastic properties of polymer networks. Observing the beads response to the excitation of a reference leads to dynamic and morphological information of the material. In this work we…

Biological Physics · Physics 2014-07-04 Tobias Paust , Katinka Mertens , Ines Martin , Michael Beil , Othmar Marti

The penetrable-sphere model has been introduced in the literature to describe the peculiar thermodynamic behavior of some colloidal systems. In this model the interaction potential is $\phi(r)=\epsilon>0$ if the two spheres are overlapped…

Statistical Mechanics · Physics 2014-11-10 Andres Santos

This work focuses on the interaction of an acoustical quasi-Gaussian beam centered on a rigid immovable sphere, during which at least three physical phenomena arise, namely, the (axial) acoustic scattering, the instantaneous force, and the…

Instrumentation and Detectors · Physics 2016-03-16 F. G. Mitri

The swimming of an assembly of rigid spheres immersed in a viscous fluid of infinite extent is studied in low Reynolds number hydrodynamics. The instantaneous swimming velocity and rate of dissipation are expressed in terms of the…

Fluid Dynamics · Physics 2015-05-25 B. U. Felderhof

The coefficient of restitution of colliding viscoelastic spheres is analytically known as a complete series expansion in terms of the impact velocity where all (infinitely many) coefficients are known. While beeing analytically exact, this…

Materials Science · Physics 2015-05-27 Patric Mueller , Thorsten Poeschel

The unsteady, lineal translation of a solid spherical particle through viscoelastic fluids described by the Johnson-Segalman and Giesekus models is studied analytically. Solutions for the pressure and velocity fields as well as the force on…

Fluid Dynamics · Physics 2021-06-16 Mary A. Joens , James W. Swan

We study the shape differentiability of a general functional depending on the solution of a bidimensional stationary Stokes-Elasticity system, with respect to the reference domain of the elastic structure immersed in a viscous fluid. The…

Analysis of PDEs · Mathematics 2022-10-13 V. Calisti , I. Lucardesi , J. -F. Scheid

We describe a numerical method to simulate an elastic shell immersed in a viscous incompressible fluid. The method is developed as an extension of the immersed boundary method using shell equations based on the Kirchhoff-Love and the planar…

Numerical Analysis · Mathematics 2025-10-20 E. Givelberg

Rheological responses are the most relevant features to describe soft matter. So far, such constitutive relations are still not well understood in terms of small scale properties, although this knowledge would help the design of synthetic…

Soft Condensed Matter · Physics 2020-08-12 J. L. B. de Araujo , J. S. de Sousa , W. P. Ferreira , C. L. N. Oliveira

An effective medium approach together with a multiple scattering formalism is considered to study the steady-state dynamics of suspensions of spheres and rigid stiff polymer chains (Gaussian) without excluded volume interactions. The…

Condensed Matter · Physics 2009-10-28 Radu P. Mondescu , M. Muthukumar

In this paper, we study a nonlinear fluid-structure interaction problem between a viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid which fills a two-dimensional rectangular domain with periodic boundary…

Analysis of PDEs · Mathematics 2023-07-07 Ondřej Kreml , Václav Mácha , Šárka Nečasová , Srđan Trifunović

In this work, we study the well-posedness of a system of partial differential equations that model the dynamics of a two-dimensional Stokes bubble immersed in two-dimensional ambient Stokes fluid of the same viscosity that extends to…

Analysis of PDEs · Mathematics 2024-06-13 Jae Ho Choi

Velocity relaxation of an elastic sphere immersed in a viscous incompressible fluid is studied on the basis of the equations of linear elasticity and the linearized Navier-Stokes equations. It is found that both translational motion after a…

Fluid Dynamics · Physics 2015-06-18 B. U. Felderhof

We suggest several reciprocal swimming mechanisms that lead to a locomotion only in viscoelastic fluids. The first situation is to have a difference between the two amplitudes of the oscillatory arm motion for a three-sphere microswimmer.…

Soft Condensed Matter · Physics 2021-06-08 Kento Yasuda , Mizuki Kuroda , Shigeyuki Komura

Softer means stickier for solid adhesives, because material compliance facilitates close contact between non-conformal surfaces. Recent discoveries have revealed that soft materials can exhibit a rich array of new physics arising from…

In this article, we propose a macro-micro (two-scale) mathematical model for describing the macroscopic swelling of a rubber foam caused by the microscopic absorption of some liquid. In our modeling approach, we suppose that the material…

Analysis of PDEs · Mathematics 2020-10-08 T. Aiki , NH. Kröger , A. Muntean

In a recent paper by Casado-Pascual [Phys. Rev. E \textbf{97}, 032219 (2018)], directed motion of a sphere immersed in a viscous fluid and subjected to zero-average biharmonic forces is studied. The author explains the dependence on the…

Fluid Dynamics · Physics 2021-10-20 Pedro J. Martínez , Ricardo Chacón
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