We analyze viscoelastic porous materials in the coupled linear theory. consider coupling between volume fraction and Darcy’s law for a right cylinder. The mathematical model is represented by system of equations steady vibrations displacement vector, changes fraction, pressure. spatial behavior characterized terms some cross-sectional functions.

We use Brownian dynamics simulations of a binary mixture of highly charged spherical colloidal particles to test some of the predictions of the random first-order transition (RFOT) theory [Phys. Rev. Lett. 58, 2091 (1987); Phys. Rev. A 40, 1045 (1989)]. In accord with mode-coupling theory and RFOT, we find that as the volume fraction of the colloidal particles ϕ approaches the dynamical transit...

We investigate the problem of wealth distribution from the viewpoint of asset exchange. Robust nature of Pareto’s law across economies, ideologies and nations suggests that this could be an outcome of trading strategies. However, the simple asset exchange models fail to reproduce this feature. A yardsale(YS) model in which amount put on the bet is a fraction of minimum of the two players leads ...

In a recent paper [Mandal et al., Phys. Rev. E 88, 022129 (2013)], the nature of spatial correlations of plasticity in hard-sphere glasses was addressed both via computer simulations and in experiments. It was found that the experimentally obtained correlations obey a power law, whereas the correlations from simulations are better fitted by an exponential decay. We here provide direct evidence-...

In the estimation of selectivity, many models assume that data is uniformly distributed, which is not true for many applications. In this paper, we discuss a generalized selectivity model, the so-called lαβ-model which is independent of the data distribution. The model predicts the fraction of a relation that should be selected in order to process a query. We have evaluated this model for diffe...

We analyse and improve a recently-proposed two-phase ow model for the statistical evolution of two-uid mixing. A hyperbolic equation for the volume fraction, whose characteristic speed is the average interface velocity v , plays a central role. We propose a new model for v in terms of the volume fraction and uid velocities, which can be interpreted as a constitutive law for two-uid mixing. In t...