[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...

We study a lattice model for the spreading of fluid films, which are a few molecular layers thick, in narrow channels with inert lateral walls. We focus on systems connected to two particle reservoirs at different chemical potentials, considering an attractive substrate potential at the bottom, confining sidewalls, and hard-core repulsive fluid-fluid interactions. Using kinetic Monte Carlo simu...

We study the nature of nonequilibrium effects in the collective diffusion coefficient DC(u) vs the coverage u as extracted from Boltzmann–Matano analysis of spreading coverage profiles. We focus on the temporal behavior of the profiles and study how the corresponding nonequilibrium effects in DC(u) depend on the initial density gradient and the initial state from which the spreading starts. To ...

[1] We show that the spatial coherency of the ambient seismic field can be used for attenuation tomography in the western United States. We evaluate the real portion of the spatial coherency with an elastic geometric spreading term (a Bessel function) and a distance dependent decay (an attenuation coefficient). In order to invert the spatial coherency, a weight stack inversion technique is appl...

Abstract. The paper focuses on a model describing the spreading of an insoluble surfactant on a thin viscous film with capillary effects taken into account. The governing equation for the film height is degenerate parabolic of fourth order and coupled to a second order parabolic equation for the surfactant concentration. It is shown that nonnegative weak solutions exist under natural assumption...

1. ABSTRACT 1 2. Introduction 2 3. Methods 3 3.1. ElectroEncephalography records and patients selection 3 3.2. Pearson Correlation Coefficient 3 3.3. Multi Agent System (MAS) and Artificial Neural Networks (ANN) 4 4. Results 5 4.1. Correlating signals from homoand controlateral electrodes 5 4.2. Simulating Cortical Spreading Depression 7 5. Discussion 8 References 10 6. APPENDIX 11 6.1. EEG rec...

Using echo planar diffusion-weighted magnetic resonance imaging, we measured three-dimensional changes in the apparent diffusion coefficient (ADC) of water in eight contiguous coronal slices, encompassing the entire rat brain, before and after local cortical stimulation. We applied chemical (potassium chloride application; n = 6) and mechanical (needle stab; n = 4) stimulations to the right pos...