In this paper we consider inhomogeneous solutions of two-dimensional linear sigma model in the large $N$ limit. These are similar to ones found recently $C{P}^{N}$ model. The solution exists only for some range coupling constant. We calculate energy as a function parameters and show that it is negative. analyze zero modes soliton argue they can be interpreted rotational excitations. case nonlin...

First order rotational perturbations of the flat Friedmann-Robertson-Walker (FRW) metric are considered in the framework of four dimensional Neveu-Schwarz–Neveu-Schwarz (NS-NS) string cosmological models coupled with dilaton and axion fields. The decay rate of rotation depends mainly upon the dilaton field potential U . The equation for rotation imposes strong limitations upon the functional fo...

We present exact results on the behavior of the thermodynamic Casimir force and the excess free energy in the framework of the d -dimensional spherical model with a power law long-ranged interaction decaying at large distances r as r(-d-sigma) , where sigma<d<2sigma and 0<sigma< or =2 . For a film geometry and under periodic boundary conditions we consider the behavior of these quantities near ...

To simulate the effect of free st ream turbulence on turbulent spot formation, experiments were conducted on the interaction of localized three-dimensional disturbances with the harmonic waves in a laminar boundary layer on a flat plate. Experiments conducted in three-dimensional diverging flow (but zero pressure gradient) show, while individually the disturbances decay downstream, their intera...

We review the existing results on the scaling dimensions of operators with more than two derivatives in the non-linear sigma models. We argue that the speculations on the relevance of these operators, and correspondingly on the breakdown of the (d−2) expansion for the classical Heisenberg model, or for the one-parameter scaling theory of localization, are based on a dubious mathematical analysi...

A new method has been developed to measure the equivalent pore radius in cellular membranes, and has been applied to human red cells. When red cells are suddenly introduced into a non-isosmolar concentration of non-lipid-soluble non-electrolyte molecules, water will enter or leave the cell. The rate of cell swelling or shrinking is determined and extrapolated to zero time to give the initial ra...

The recently introduced notion of frame potential has proven useful for the characterization of finite-dimensional tight frames. The present work represents an effort to similarly characterize finite-dimensional tight frames with additional imposed structure. In particular, it is shown that the frame potential still leads to a complete description of tight frames when restricted to the class of...