Experimental data for rupture lines and wetting fronts in various kinds of paper suggest that the scaling properties of interfaces pinned in such fractally correlated media are governed by the fractal dimension, D, of the medium. Specifically, the phenomenological relation zeta=D-(d-1), where d is the spatial dimension of the system, satisfactorily describes the local roughness exponent, zeta, ...

We use mixed norm estimates for the spherical averaging operator to obtain some results concerning pinned distance sets.

The stochastic behaviour of materials and loading is great importance for buckling analysis prestressed beam frame structures. In this paper, the stiffness stress matrices are developed analysis. bending rigidity load modelled as fields. spectral decomposition known Karhunen–Loéve expansion has been used to expand random Using expansion, closed-form formulated in terms discrete parameters. cons...

We consider a homogenization problem for the magnetic GinzburgLandau functional in domains with a large number of small holes. We establish a scaling relation between sizes of holes and the magnitude of the external magnetic field when the multiple vortices pinned by holes appear in nested subdomains and their homogenized density is described by a hierarchy of variational problems. This stands ...

The pinned mode in optically excited polyacetylene Is a vibrational envelope with a width of =500 cm centered at 500 cw,". The width of this mode has been attributed to single solitons interacting with a wide range of pinin par etrs. The constancy of the envelope for polyacetylene prepared by disparate methods (Shirakawa and Durham)d Cis-trans ratios, casts doubt on this concept as the underlyi...

Dynamics of spin-glasses subjected to slow continuous changes of working enviroment such as slow changes of temperature or interaction bonds are studied based on scaling arguments and numerical simulations of continuous bond changes. Such perturbations lead to a glassy stationary state where the age or domain size of the system is pinned to macroscopic but finite values due to competition betwe...