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We study the transport properties of strongly interacting matter in the context of ultrarelativistic heavy ion collision experiments. We calculate the transport coefficients viz. shear viscosity ($\eta$) and electrical conductivity…

High Energy Physics - Phenomenology · Physics 2017-06-01 Lata Thakur , P. K. Srivastava , Guru Prakash Kadam , Manu George , Hiranmaya Mishra

Using well-known mathematical foundations of the elasticity theory, a mathematical model for two solutes transport in a poroelastic material (soft tissue is a typical example) is suggested. It is assumed that molecules of essentially…

Mathematical Physics · Physics 2024-03-04 Roman Cherniha , Joanna Stachowska-Pietka , Jacek Waniewski

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

Statistical Mechanics · Physics 2009-10-30 M. L. Falk , J. S. Langer

The solution of the Enskog equation for the one-body velocity distribution of a moderately dense, arbitrary mixture of inelastic hard spheres undergoing planar shear flow is described. A generalization of the Grad moment method, implemented…

Soft Condensed Matter · Physics 2009-11-10 James F. Lutsko

Recent experiments have shown that when a near-hemispherical lipid vesicle attached to a solid surface is subjected to a simple shear flow it exhibits a pattern of membrane circulation much like a dipole vortex. This is in marked contrast…

Fluid Dynamics · Physics 2012-08-14 Francis G. Woodhouse , Raymond E. Goldstein

We model the nonlinear response of a lubricated contact composed of a two-dimensional lipid membrane immersed in a simple fluid between two parallel flat and porous walls under shear. The nonlinear dynamics of the membrane gives rise to a…

Soft Condensed Matter · Physics 2021-06-11 Thomas Le Goff , Tung B. T. To , Olivier Pierre-Louis

The flow of power law fluids, which include shear thinning and shear thickening as well as Newtonian as a special case, in networks of interconnected elastic tubes is investigated using a residual based pore scale network modeling method…

Fluid Dynamics · Physics 2015-04-27 Taha Sochi

In this paper, we derive analytical expressions for the leading-order hydrodynamic mobility of a small solid particle undergoing motion tangential to a nearby large spherical capsule whose membrane possesses resistance towards shearing and…

Fluid Dynamics · Physics 2017-06-07 Abdallah Daddi-Moussa-Ider , Maciej Lisicki , Stephan Gekle

We derive a thermodynamically consistent framework for incorporating entanglement dynamics into constitutive equations for flowing polymer melts. We use this to combine the convected constraint release (CCR) dynamics of…

Soft Condensed Matter · Physics 2022-12-21 Benjamin E. Dolata , Peter D. Olmsted

The aim of this paper is to present a modeling for the rheological behavior of simple liquids as a function of the amplitude of the imposed shear stress or strain. The elastic mode theory (Ref. 6) is first generalized to take into account…

Soft Condensed Matter · Physics 2023-02-14 Frédéric Aitken , Ferdinand Volino

By analyzing the real space nonequilibrium dynamics of polymers, we elucidate the physics of driven translocation and propose its dynamical scaling scenario analogous to that in the surface growth phenomena. We provide a detailed account of…

Soft Condensed Matter · Physics 2011-11-28 Takuya Saito , Takahiro Sakaue

Morphogenesis depends crucially on the complex rheological properties of cell tissues and on their ability to maintain mechanical integrity while rearranging at long times. In this paper, we study the rheology of polygonal cellular networks…

Soft Condensed Matter · Physics 2021-03-31 Charlie Duclut , Joris Paijmans , Mandar M. Inamdar , Carl D. Modes , Frank Jülicher

The mechanical non-linear response of dense Brownian suspensions of polymer gel particles is studied experimentally and by means of numerical simulations. It is shown that the response to the application of a constant shear rate depends on…

Soft Condensed Matter · Physics 2022-10-05 Dmytro Kushnir , Céline Ruscher , Eckhard Bartsch , Fabrice Thalmann , Pascal Hébraud

The Boltzmann equation for inelastic Maxwell models is considered to determine the rheological properties in a granular binary mixture in the simple shear flow state. The transport coefficients (shear viscosity and viscometric functions)…

Statistical Mechanics · Physics 2010-12-22 Vicente Garzo , Emmanuel Trizac

We propose and analyze a mathematical model of the mechanics of gels, consisting of the laws of balance of mass and linear momentum. We consider a gel to be an immiscible and incompressible mixture of a nonlinearly elastic polymer and a…

Analysis of PDEs · Mathematics 2012-10-17 Brandon Chabaud , Maria-Carme Calderer

We discuss the relaxation kinetics of a one-dimensional dimer adsorption model as recently proposed for the binding of biological dimers like kinesin on microtubules. The non-equilibrium dynamics shows several regimes: irreversible…

Soft Condensed Matter · Physics 2007-05-23 Andrej Vilfan , Erwin Frey , Franz Schwabl

We discuss the decomposition of the tensorial relaxation function for isotropic and transversely isotropic Modified Quasi-Linear Viscoelastic models. We show how to formulate the constitutive equation by using a convenient decomposition of…

Soft Condensed Matter · Physics 2023-01-20 Valentina Balbi , Tom Shearer , William J Parnell

In order to develop predictive wear laws, relevant material parameters and their influence on the wear rate need to be identified. Despite decades of research, there is no agreement on the mathematical form of wear equations and even the…

Applied Physics · Physics 2021-01-20 Tobias Brink , Lucas Frérot , Jean-François Molinari

We present a detailed comparison of the rheological behaviour of sheared sediment beds in a pressure-driven, straight channel configuration based on data that was generated by means of fully coupled, grain-resolved direct numerical…

Fluid Dynamics · Physics 2021-07-21 B. Vowinckel , E. Biegert , E. Meiburg , P. Aussillous , É. Guazzelli

The hardness of materials plays an important role in material design. There are numerous experimental methods to measure the hardness of materials, but theoretical prediction of hardness is challenging. By investigating the correlation…

Materials Science · Physics 2024-12-24 Faridun N. Jalolov , Alexander G. Kvashnin