Using an analytical parameterization for the behavior of the x slope of the structure function F2 at small x in perturbative QCD, at the leading twist approximation of the Wilson operator product expansion, and applying a flat initial condition in the DGLAP evolution equations, we found very good agreement with new precise deep inelastic scattering experimental data from HERA. PACS number(s): 1...

Using the leading-twist approximation of the Wilson operator product expansion with “frozen” and analytic versions of the strong-coupling constant, we show that the Bessel-inspired behavior of the structure function F2 and its slope ∂ lnF2/∂ ln(1/x) at small values of x, obtained for a flat initial condition in the DGLAP evolution equations, leads to good agreement with experimental data of dee...

The nonlinear dynamics of the free surface of an ideal dielectric liquid in a strong electric field is studied. The equation for the evolution of surface electrohydrodynamic waves is derived in the approximation of small surface-slope angles. It is established that the equation can be solved for liquids with sufficiently high values of the permittivity. This makes it possible to describe the in...

A family of unified models in scattering from rough surfaces is based on local corrections of the tangent plane approximation through higher-order derivatives of the surface. We revisit these methods in a common framework when the correction is limited to the curvature, that is essentially the secondorder derivative. The resulting expression is formally identical to the weighted curvature appro...

We make a critical, next–to–leading order, study of the accuracy of the " Prytz " relation , which is frequently used to extract the gluon distribution at small x from the logarithmic slopes of the structure function F 2. We find that the simple relation is not genarally valid in the HERA regime, but show that it is a reasonable approximation for gluons which are sufficiently singular at small x.