We investigate the relationships between models of power-law long-range interactions and mechanics based on fractional derivatives. We present the fractional Lagrangian density which gives the Euler–Lagrange equation that serves as the equation of motion for fractional-power-law long-range...

We study the vibrational spectrum and the low-energy modes of a three-dimensional colloidal crystal using confocal microscopy. This is done in a two-dimensional cut through a three-dimensional crystal. We find that the observed density of states is incompatible with the standard Debye form in...

A unified approach has been developed to study nonlinear dynamics of a 1D lattice of particles with long-range power-law interaction. A classical case is treated in the framework of the generalization of the well-known Frenkel–Kontorova chain model for the non-nearest interactions. Quantum...

We discuss the microwave energy losses in superconductors in the critical state. The field-induced variations of the surface resistance are determined, in the framework of the Coffey and Clem model, by taking into account the distribution of the vortex magnetic field inside the sample. It is...

We study flux penetration in a disordered type II superconductor by simulations of interacting vortices, using a Monte-Carlo method for vortex nucleation. Our results show that a detailed description of the nucleation process yields a correction to the scaling laws usually associated with flux...

Wavevector dependent friction factors, which together with the elastic properties determine the hydrodynamic damping of harmonic lattice waves in colloidal crystals, are calculated for cubic arrays of rigid spheres at low, intermediate and high sphere volume fractions, including simple cubic...

A new method is presented for low-Reynolds-number flow problems involving periodic arrays of spherical particles. The method is based on an exact technique to calculate quasi-static hydrodynamic interactions between a finite number of spheres immersed in an unbounded Newtonian fluid. This...

We present ac susceptibility measurements performed on (K, Ba)BiO<Subscript>3</Subscript>single crystals with different geometries: thick films, bars and hollow cylinders. We show that the h <Subscript>ac</Subscript> dependence of the real (χ′) and imaginary (χ′) parts of the ac susceptibility is in very good agreement with Brandt’s...</subscript></subscript>