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An important class of fluid-structure problems involve the dynamics of ordered arrays of immersed, flexible fibers. While specialized numerical methods have been developed to study fluid-fiber systems, they become infeasible when there are…

Fluid Dynamics · Physics 2019-07-17 David B. Stein , Michael J. Shelley

We study a model describing the slow flow of a fluid through a deformable, porous, elastic solid undergoing small deformations. The stress-strain relationship of the solid incorporates nonlinear effects, formulated as a perturbation of the…

Numerical Analysis · Mathematics 2026-04-28 Andrea Bonito , Vivette Girault , Diane Guignard

Order and alignment are ubiquitous in growing colonies of rod-shaped bacteria due to the nematic properties of the constituent particles. These effects are the result of the active stresses generated by growth, passive mechanical…

Soft Condensed Matter · Physics 2022-07-07 Jonas Isensee , Lukas Hupe , Ramin Golestanian , Philip Bittihn

We introduce models for viscoelastic materials, both solids and fluids, based on logarithmic stresses to capture the elastic contribution to the material response. The matrix logarithm allows to link the measures of strain, that naturally…

Analysis of PDEs · Mathematics 2024-10-10 Gennaro Ciampa , Giulio G. Giusteri , Alessio G. Soggiu

Application of integral equation theory to complex fluids is reviewed, with particular emphasis to the effects of polydispersity and anisotropy on their structural and thermodynamic properties. Both analytical and numerical solutions of…

Soft Condensed Matter · Physics 2011-12-23 Domenico Gazzillo , Achille Giacometti

Elastoplastic lattice models for the response of solids to deformation typically incorporate structure only implicitly via a local yield strain that is assigned to each site. However, the local yield strain can change in response to a…

Dry active matter in an anisotropic medium is of experimental relevance, and the interplay between anisotropy and the dynamics of the active matter remains under-explored. Here, we derive the hydrodynamic equations of a generic dry polar…

Soft Condensed Matter · Physics 2025-07-22 Leiming Chen , Chiu Fan Lee , John Toner

Magnetic flux piercing a carbon nanotube induce periodic gap oscillations which represent the Aharonov-Bohm effect at nanoscale. Here we point out, by analyzing numerically the anisotropic Hubbard model on a honeycomb lattice, that similar…

Mesoscale and Nanoscale Physics · Physics 2023-10-06 Adam Rycerz , Maciej Fidrysiak , Danuta Goc-Jagło

Based on density functional theory (DFT), we have developed algorithms and a program code to investigate the electron transport characteristics for a variety of nanometer scaled devices in the presence of an external bias voltage. We…

Mesoscale and Nanoscale Physics · Physics 2008-05-14 Woo Youn Kim , Kwang S. Kim

Quantum Monte Carlo simulations of interacting electrons in solids often use Slater-Jastrow trial wave functions. The Jastrow function takes into account correlations between pairs of electrons. In simulations of solids, it is common to use…

Materials Science · Physics 2007-05-23 A. Garcia-Lekue , M. Nekovee , J. M. Pitarke , R. Gaudoin

In the context of elasticity theory, rigidity theorems allow to derive global properties of a deformation from local ones. This paper presents a new asymptotic version of rigidity, applicable to elastic bodies with sufficiently stiff…

Analysis of PDEs · Mathematics 2019-09-04 Fabian Christowiak , Carolin Kreisbeck

We develop a theory for the nonequilibrium coherent transport through a mesoscopic region, based on the nonequilibrium Green function technique. The theory requires the weak coupling between the central mesoscopic region and the multiple…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Yu Zhu , Tsung-han Lin , Qing-feng Sun

We derive a universal model for atom pairs interacting with non-resonant light via the polarizability anisotropy, based on the long range properties of the scattering. The corresponding dynamics can be obtained using a nodal line technique…

Even though it has been known for decades that the magnetocrystalline anisotropy is linked to the spin-orbit coupling (SOC), the mechanism how it arises for specific systems is still subject of debate. We focused on finding markers of SOC…

Materials Science · Physics 2016-05-17 Ondrej Sipr , Sergey Mankovsky , Svitlana Polesya , Sven Bornemann , Jan Minar , Hubert Ebert

The quantitative knowledge of interface anisotropy in lattice models is a major issue, both for the parametrization of continuum interface models, and for the analysis of experimental observations. In this paper, we focus on the anisotropy…

Statistical Mechanics · Physics 2022-02-09 Luca Gagliardi , Olivier Pierre-Louis

We propose a class of microstructurally informed models for the linear elastic mechanical behavior of cross-linked polymer networks such as the actin cytoskeleton. Salient features of the models include the possibility to represent…

Other Quantitative Biology · Quantitative Biology 2008-02-27 Ronald Y. Kwon , Adrian J. Lew , Christopher R. Jacobs

For homogeneous and isotropic linearly elastic solids and for incompressible fluids under low-Reynolds-number conditions the fundamental solutions of the associated continuum equations were derived a long time ago for bulk systems. That is,…

Soft Condensed Matter · Physics 2026-01-21 Abdallah Daddi-Moussa-Ider , Lukas Fischer , Marc Pradas , Andreas M. Menzel

The precipitate shape, size and distribution are crucial factors which determine the properties of several technologically important alloys. Elastic interactions between the inclusions modify their morphology and align them along…

Materials Science · Physics 2019-06-25 Sandeep Sugathan , Saswata Bhattacharya

This paper introduces a novel matrix-free approach for full waveform inversion in anisotropic elastic media, incorporating density variation through the utilization of the distorted Born iterative method. This study aims to overcome the…

Mechanical modelling of poroelastic media under finite strain is usually carried out via phenomenological models neglecting complex micro-macro scales interdependency. One reason is that the mathematical two-scale analysis is only…

Computational Engineering, Finance, and Science · Computer Science 2021-05-07 Hamidreza Dehghani , Andreas Zilian