We study squeeze flow of two different fluids (castor oil and ethylene glycol) between a pair of glass plates and a pair of perspex plates, under an applied load. The film thickness is found to vary with time as a power-law, where the exponent increases with load. After a certain time interval the area of fluid-solid contact saturates to a constant value. This saturation area, increases with lo...

The parameter n in the well-known expression for hydraulic conductivity K ˆ K0S e (where K0 is its value at satiation and Se the e€ective saturation) is determined as a function of the exponent in the power form of the soil±water retention relationship. The result is validated with an extensive experimental database comprising some 43 soils, collected by Mualem. Ó 2000 Elsevier Science Ltd. All...

The studies of the dynamics of topical dataflow of new information in the framework of a logistic model were suggested. The condition of topic balance, when the number of publications on all topics is proportional to the information space and time, was presented. General time dependence of the publication intensity in the Internet, devoted to particular topics, was observed; unlike an exponent ...

We investigate the onset of chaos in a periodically kicked Dicke model (KDM), using out-of-time-order correlator (OTOC) as diagnostic tool, both oscillator and spin subspaces. In large limit, classical Hamiltonian map is constructed, which allows us to corresponding phase space dynamics compute Lyapunov exponent. show that growth rate OTOC for canonically conjugate coordinates able capture expo...

The relationship between capillary pressure and saturation in a porous medium often exhibits a power-law dependence. The physical basis for this relation has been substantiated by assuming that capillary pressure is directly related to the pore radius. When the pore space of a medium exhibits fractal structure this approach results in a power-law relation with an exponent of 3-D(v), where D(v) ...

We have performed computer simulations of Kauffman’s automata on several graphs such as the regular square lattice and invasion percolation clusters in order to investigate phase transitions, radial distributions of the mean total damage (dynamical exponent z) and propagation speeds of the damage when one adds a damaging agent, nicknamed ”strange man”. Despite the increase in the damaging effic...

Consistency of the previously suggested color-dipole representation of deepinelastic scattering (DIS) and vector-meson production at low x with DGLAP evolution allows one to predict the exponent of the W 2 dependence of the saturation scale, Λsat(W ) ∼ (W )2 . One finds C 2 = 0.27 in agreement with the model-independent analysis of the experimental data from HERA on deepinelastic electron scatt...

The impact of the now widely acknowledged self-similar property of network traffic on cell delay in a single server queueing model is investigated. The analytic traffic model, called N-Burst, uses the superposition of N independent cell streams of ON/OFF type with Power-Tail distributed ON periods. Delay for such arrival processes is mainly caused by over-saturation periods, which occur when to...

The one dimensional S = 1/2 Heisenberg model with dimerization (1−j) and quadrumerization (δ) in the magnetic field is studied by means of the numerical exact diagonalization of finite size systems and the conformal field theory. It is found that the magnetization plateau at half of the saturation value exists for δ 6= 0. For δ = 0, this model is described by the conformal field theory with cen...