Both earthquake size-distributions and aftershock decay rates obey power laws. Recent studies have demonstrated the sensibility of their parameters to faulting properties such as focal mechanism, rupture speed or fault complexity. The faulting style dependence may be related to the magnitude of the differential stress, but no model so far has been able to reproduce this behaviour. Here we inves...

In this paper, the macroscopic equations for laminar power-law fluid flow is obtained for a porous medium starting from traditional equations (Navier-Stokes). Then, the volume averaging is applied in traditional transport equations with the power-law fluid model. This procedure leads to macroscopic transport equations set for nonNewtonian fluid.

We show empirically a series of sharp patterns in stock market fluctuations, trading activity and their contemporaneous relationships. We link together and explain the following facts: (i) the cubic law of returns: returns follow a power law distribution with exponent 3. This “cubic” law seems to hold both across time and internationally. Stock market “crashes” (e.g. the 1929 and 1987 crashes) ...

Clusters are dominating high-performance computing (HPC) today. The success of this architecture is based on the fact that it profits from the improvements provided by main-stream computing well known under the label of Moore’s Law. But trying to get to Exascale within this decade might require additional endeavors beyond surfing this technology wave. In order to find a possible direction we re...

We show that the dramatically increasing share of income going to top earners is consistent with the rise of the "power law economy" and argue this may reflect networks and increased digitization. Specifically, tax data (1960-2008) show an increasing dispersion of incomes in the portion of the distribution drawn from a power law, as opposed to the long-established log-normal distribution. We pr...

From the available literature, the allometric scaling laws generally exist in biology, ecology, etc. These scaling laws obey power law distributions. A possibly better approach to characterize the power law is to utilize fractional derivatives. In this paper, we establish a fractional differential equation model for this allometry by using the Caputo fractional derivatives.

Scaling of folding times in Go models of proteins and of decoy structures with the Lennard-Jones potentials in the native contacts reveal power law trends when studied under optimal folding conditions. The power law exponent depends on the type of native geometry. Its value indicates lack of kinetic optimality in the model proteins. In proteins, mechanical and thermodynamic stabilities are corr...

in this paper, a hybrid solid oxide fuel cell (sofc) and micro gas turbine (mgt) power system is parametrically studied to evaluate the effect of different operating conditions. the sofc/mgt power system includes sofc reactor, combustion chamber, compressor and turbine units, and two heat exchangers. the effects of fuel utilization, temperature, and pressure are assessed on performance of the h...

We model the distribution of daily stock trading volume using the power law and document a new phenomenon. The power law exponent systematically increases with time suggesting that trading is becoming increasingly concentrated in a subset of stocks. © 2007 Elsevier B.V. All rights reserved.

The so-called Novikov power plant model has been widely used to represent some actual power plants, such as nuclear electric power generators. In the present work, a thermo-economic study of a Novikov power plant model is presented under three different regimes of performance: maximum power (MP), maximum ecological function (ME) and maximum efficient power (EP). In this study, different heat tr...