[1] We present a theory for dynamic longitudinal dispersion coefficient (D) for transport by Poiseuille flow, the foundation for models of many natural systems, such as in fractures or rivers. Our theory describes the mixing and spreading process from molecular diffusion, through anomalous transport, and until Taylor dispersion. D is a sixth order function of fracture aperture (b) or river widt...

In the context of constant-rate fluid-flow traffic estimation, it has been shown that there is a minimum probing traffic rate at which the dispersion exhibits correlation with cross traffic, so both probing packet length and input gap must be adjusted to reach that minimum. However, here we show evidence that, with highly variable traffic, it is possible to have very short probing packets at a ...

Frequency dispersion studies on proton spin-lattice relaxation rates of a liquid crysal (4’-octyloxy-4-cyanobiphenyl) embedded in Aerosil matrix show significant increase at low frequencies (sub-MHz regime) relative to the bulk sample, and are interpreted as primarily due to slow reorientations near the surface ordered layers mediated by translation displacements. The computed exponent in the p...

We characterized the energy band dispersion near the Fermi level in single-walled carbon nanotubes using low-temperature scanning tunneling microscopy. Analysis of energy-dependent standing wave oscillations, which result from quantum interference of electrons resonantly scattered by defects, yields a linear energy dispersion near E(F), and indicates the importance of parity in scattering for a...

Collision-induced timing shifts in a wavelength-division multiplexed soliton system are computed when damping, amplification, filtering and positive dispersion management following the loss profile are included. A statistical analysis is presented which takes into account the resulting effect of the large number of collisions occurring in the fiber. Analytic expressions are derived for the root...

We have experimentally investigated the impact of dimensions and temperature on the thermal conductivity of silicon nanowires fabricated using a top-down approach. Both the width and temperature dependences of thermal conductivity agree with those in the existing literature. The length dependence of thermal conductivity exhibits a transition from semi-ballistic thermal phonon transport at 4 K t...

We explore a possible connection between two aspects of Loop Quantum Gravity which have been extensively studied in the recent literature: the black-hole area-entropy law and the energymomentum dispersion relation. We observe that the original Bekenstein argument for the areaentropy law implicitly requires information on the energy-momentum dispersion relation. Recent results show that in first...

The aim of this work was to determine the hydrodynamic dispersion coefficient at different interstitial velocities for its application in a mass transport model to predict heavy metal biosorption onto Posidonia oceanica and peat. Tracing experiments with lithium chloride (LiCl) were performed in biosorbent packed beds of 10 and 27 cm length and flow rates between 10 and 100 cm 3 h −1 . Hydrodyn...

OBJECTIVE This article is to assess the performance of 3 macroscopic safety indicators (speed, speed dispersion, and volume) and two microscopic potential crash risks (time to collision and deceleration rate to avoid crash) on safety evaluation for expressways. METHODS Field data were collected at 3 locations for 4 different time periods on an expressway in Beijing, China. The speed of each v...

The dynamics of parametrically driven counterpropagating waves in a one-dimensional extended nearly conservative annular system are described by two coupled, damped, parametrically driven nonlinear Schrödinger (NLS) equations with opposite transport terms due to the group velocity, and small dispersion. The system is characterized by two length scales defined by a balance between (a) forcing an...