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Magnetic composite materials i.e. elastomers, polymer gels, or polymer solutions with embedded magnetic nanoparticles are useful for many technical and bio-medical applications. However, the microscopic details of the coupling mechanisms…

Soft Condensed Matter · Physics 2020-10-30 Patrick Kreissl , Christian Holm , Rudolf Weeber

A rectangular plate of dielectric elastomer exhibiting gradients of material properties through its thickness will deform inhomogeneously when a potential difference is applied to compliant electrodes on its major surfaces, because each…

Soft Condensed Matter · Physics 2020-12-08 Yipin Su , Ray W. Ogden , Michel Destrade

The linear Boltzmann equation for elastic and/or inelastic scattering is applied to derive the distribution function of a spatially homogeneous system of charged particles spreading in a host medium of two-level atoms and subjected to…

Statistical Mechanics · Physics 2009-11-13 A. Rossani , A. M. Scarfone

We study a variety of Hofstadter ladders in order to probe the interplay between interactions, an applied magnetic field and crystalline or quasiperiodic geometries. Rotational motion will be induced on charged particles when a magnetic…

Strongly Correlated Electrons · Physics 2022-12-23 Dean Johnstone , Patrik Öhberg , Callum W. Duncan

We investigate a homogenization problem for a linearly elastic magnetic material that incorporates elastically rigid magnetic inclusions firmly bonded to the matrix. By considering a periodic arrangement of this material, we identify an…

Analysis of PDEs · Mathematics 2025-06-24 Raffaele Grande , Stefan Krömer , Martin Kružík , Giuseppe Tomassetti

The magnetic properties of a system of coexisting localized spins and conduction electrons are investigated within an extended version of the one dimensional Kondo lattice model in which effects stemming from the electron-lattice and…

Strongly Correlated Electrons · Physics 2009-11-10 M. Gulacsi , A. Bussmann-Holder , A. R. Bishop

Precipitation of fine particles into the base material of a metal is a potent strengthening mechanism. This is numerically analyzed within a continuum framework based on a higher order strain gradient plasticity theory and by use of an…

Materials Science · Physics 2021-06-17 Mohammadali Asgharzadeh , Jonas Faleskog

We consider a linearly elastic composite medium, which consists of a homogeneous matrix containing a statistically homogeneous set of multimodal spherical inclusions modeling the morphology of heterogeneous solid propellants (HSP).…

Materials Science · Physics 2012-09-21 V. A. Buryachenko

Ferrogels, i.e. swollen polymer networks into which magnetic particles are immersed, can be considered as "smart materials" since their shape and elasticity can be controlled by an external magnetic field. Using molecular dynamics…

Chemical Physics · Physics 2015-06-02 Rudolf Weeber , Sofia Kantorovich , Christian Holm

In the paper a study of a model magnetoelastic solid system is presented. The system of interest is a mean-field magnet with nearest-neighbour ferromagnetic interactions and the underlying s.c. crystalline lattice with the long-range Morse…

Statistical Mechanics · Physics 2017-09-15 K. Szałowski , T. Balcerzak , M. Jaščur

We present a theory for the low-frequency, long-wavelength dynamics of soft smectic-C elastomers with locked-in smectic layers. Our theory, which goes beyond pure hydrodynamics, predicts a dynamic soft elasticity of these elastomers and…

Soft Condensed Matter · Physics 2009-11-11 Olaf Stenull , T. C. Lubensky

The equilibrium properties of hard rod monolayers are investigated in a lattice model (where position and orientation of a rod are restricted to discrete values) as well as in an off--lattice model featuring spherocylinders with continuous…

Soft Condensed Matter · Physics 2016-09-21 M. Oettel , M. Klopotek , M. Dixit , E. Empting , T. Schilling , H. Hansen--Goos

A thermodynamically related model is developed for describing elastic rubber-like behavior of amorphous and crystallizing polymers and demonstrated on example of simple extension. Both the “entropic” and “energetic”…

Soft Condensed Matter · Physics 2007-05-23 Arkady I. Leonov

We present the results of numerical simulation of magnetodielectric effect (MDE) in magnetorheological elastomers (MRE) - the change of effective permittivity of elastomer placed under the external magnetic field. The computer model of…

Soft Condensed Matter · Physics 2019-03-25 Danil Isaev , Anna Semisalova , Yulia Alekhina , Liudmila Makarova , Nikolai Perov

This article addresses a problem of micromagnetics: the reversal of magnetic moments in layered spring magnets. A one-dimensional model is used of a film consisting of several atomic layers of a soft material on top of several atomic layers…

Dynamical Systems · Mathematics 2025-10-20 J. Samuel Jiang , Hans G. Kaper , Gary K. Leaf

The slow flow of amorphous solids exhibits striking heterogeneities: swift localised particle rearrangements take place in the midst of a more or less homogeneously deforming medium. Recently, experimental as well as numerical work has…

Soft Condensed Matter · Physics 2014-03-04 Alexandre Nicolas , Joerg Rottler , Jean-Louis Barrat

Experiments on isotropic compression of a granular assembly of spheres show that the shear and bulk moduli vary with the confining pressure faster than the 1/3 power law predicted by Hertz-Mindlin effective medium theories (EMT) of contact…

Soft Condensed Matter · Physics 2009-11-11 Hernan A. Makse , Nicolas Gland , David L. Johnson , Lawrence Schwartz

Magnetic emergent crystals are periodic alignment of "particle-like" spin textures that emerge in magnets. Instead of focusing on an individual spin or a macroscopic magnetization field, we analyze the dynamical behaviors of these novel…

Mesoscale and Nanoscale Physics · Physics 2019-05-13 Yangfan Hu

We have studied by Monte Carlo simulations the thermal behaviour of a small (N=13 particles) cluster described by a Heisenberg model, including nearest-neighbour ferromagnetic interactions and radial surface anisotropy, in an applied…

Statistical Mechanics · Physics 2016-08-16 Laura Hernández , Claire Pinettes

For monodomain nematic elastomers, we construct generalised elastic-nematic constitutive models combining purely elastic and neoclassical-type strain-energy densities. Inspired by recent developments in stochastic elasticity, we extend…

Soft Condensed Matter · Physics 2020-03-17 L. Angela Mihai , Alain Goriely