This paper introduces a new global analytical model of the heat dissipation process that occurs in passively-cooled embedded systems, and explicits under what circumstances the folklore assumption that exponential cooling laws apply in such context is valid. Since the power consumption and reliability of microprocessors are highly dependent on temperature, both designers and, later on, run-time...

We derive the values of the ratio between the e-area and the h-area and the average number of excess citations to papers in the h-core in a shifted Zipf model and in a decreasing exponential citation model.

We study the existence of the (thermodynamic) limit of the scaled cumulant-generating function Ln(z) = |Wn| log E exp{z |Ξ ∩Wn|} of the empirical volume fraction |Ξ ∩Wn|/|Wn| , where | · | denotes the d-dimensional Lebesgue measure. Here, Ξ = ∪i≥1 (Ξi + Xi) denotes a d-dimensional Poisson grain model (also known as Boolean model) defined by a stationary Poisson process Πλ = ∑ i≥1 δXi with inten...

We prove an exponential approximation for the law of approximate occurrence of typical patterns for a class of Gibssian sources on the lattice Z d , d ≥ 2. From this result, we deduce a law of large numbers and a large deviation result for the waiting time of distorted patterns. 1. Introduction. In recent years there has been growing interest in a detailed probabilistic analysis of pattern matc...

a numerical study has been done through an al2o3–water in a double lid-driven  square  cavity with various  inclination  angles  and discrete heat sources. the top and right moving walls are at low temperature. half of  the  left and bottom walls are  insulated and  the  temperatures of the other half are kept at high. a large number of simulations for a wide  range  of richardson  number  of  ...

Analysis of the osmotic pressures of aqueous poly(ethylene glycol) solutions indicates a power-law behavior in the range of volume fractions from 0.08–0.12 to 0.33 or higher, for polymers with average molecular masses in the range 1500– 4000 Da. The exponent of the power law is closer to a value of 2, which is predicted by mean-field theory, than to the value of 5/4, which is predicted by scali...

For two independent L\'{e}vy processes $\xi$ and $\eta$ an exponentially distributed random variable $\tau$ with parameter $q>0$ that is of $\eta$, the killed exponential functional given by $V_{q,\xi,\eta} := \int_0^\tau \mathrm{e}^{-\xi_{s-}} \, \mathrm{d} \eta_s$. With arising as stationary distribution a Markov process, we calculate infinitesimal generator process use it to derive different...