31,553 research outputs found
Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
The transport coefficients of the Anderson model are calculated by extending
Wilson's NRG method to finite temperature Green's functions. Accurate results
for the frequency and temperature dependence of the single--particle spectral
densities and transport time are obtained and used to extract
the temperature dependence of the transport coefficients in the strong
correlation limit. The low temperature anomalies in the resistivity, ,
thermopower, , thermal conductivity and Hall coefficient,
, are discussed. All quantities exhibit the expected Fermi liquid
behaviour at low temperature with power law dependecies on in very
good agreement with analytic results based on Fermi liquid theory. Scattering
of conduction electrons in higher, , angular momentum channels is also
considered and an expression is derived for the corresponding transport time
and used to discuss the influence of non--resonant scattering on the transport
properties.Comment: 45 pages, RevTeX, 28 figures, available on reques
Model of the Frictional Heating of Inconel 718 and Titanium (ti-6al-4v) in Helium
A computer model of the frictional heating of metals in an inert environment has been developed. The model incorporates the effects of the heat loss from the samples due to conduction, radiation, and convection to the surroundings. This model allows the measured temperatures to be used to determine the amount of heat produced at the interface during the experiment by the sliding contact of two different metallic samples. The results of the simulation for an experiment run at the NASA White Sands Test Facility (WSTF) show that for the same heat production at the interface the heat losses have a significant effect on the temperatures in the samples. But, the heat losses do not significantly affect the different calculated heat flows (or friction coefficients), at the interface, that are necessary to correlate the measured temperatures
Solute transport within porous biofilms: diffusion or dispersion?
Many microorganisms live within surface-associated consortia, termed biofilms, that can form intricate porous structures interspersed with a network of fluid channels. In such systems, transport phenomena, including flow and advection, regulate various aspects of cell behaviour by controllling nutrient supply, evacuation of waste products and permeation of antimicrobial agents. This study presents multiscale analysis of solute transport in these porous biofilms. We start our analysis with a channel-scale description of mass transport and use the method of volume averaging to derive a set of homogenized equations at the biofilmscale. We show that solute transport may be described via two coupled partial differential equations for the averaged concentrations, or telegrapher’s equations. These models are particularly relevant for chemical species, such as some antimicrobial agents, that penetrate cell clusters very slowly. In most cases, especially for nutrients, solute penetration is faster, and transport can be described via an advection-dispersion equation. In this simpler case, the effective diffusion is characterised by a second-order tensor whose components depend on: (1) the topology of the channels’ network; (2) the solute’s diffusion coefficients in the fluid and the cell clusters; (3) hydrodynamic dispersion effects; and (4) an additional dispersion term intrinsic to the two-phase configuration. Although solute transport in biofilms is commonly thought to be diffusion-dominated, this analysis shows that dispersion effects may significantly contribute to transport
Relativistic hydrodynamics - causality and stability
Causality and stability in relativistic dissipative hydrodynamics are
important conceptual issues. We argue that causality is not restricted to
hyperbolic set of differential equations. E.g. heat conduction equation can be
causal considering the physical validity of the theory. Furthermore we propose
a new concept of relativistic internal energy that clearly separates the
dissipative and non-dissipative effects. We prove that with this choice we
remove all known instabilities of the linear response approximation of viscous
and heat conducting relativistic fluids. In this paper the Eckart choice of the
velocity field is applied.Comment: 14 pages, 2 figures, completely revise
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