Plasmons in metals can oscillate on a sub-wavelength length scale and this large-k response constitutes an inherent prerequisite for fascinating effects such as perfect imaging and intriguing wave phenomena associated with the epsilon-near-zero (ENZ) regime. While there is no upper cut-off within the local-response approximation (LRA) of the plasma polarization, nonlocal dynamics suppress respo...

We propose a model for liquids with bubbles calling upon the theory of continua with microstructure. In addition to the contraction and expansion of bubbles due to pressure already included in models available in the literature on such continua, we take into account possible phase changes at the bubble surfaces. To begin with, we consider here the simplest constitutive assumptions for both phas...

Bounding chains are a technique that offers three benefits to Markov chain practitioners: a theoretical bound on the mixing time of the chain under restricted conditions, experimental bounds on the mixing time of the chain that are provably accurate and construction of perfect sampling algorithms when used in conjunction with protocols such as coupling from the past. Perfect sampling algorithms...

Concerns about atmospheric emissions of greenhouse gases and operation costs are converging to increase incentives for both the electric utility and magnesium industries to rapidly locate and repair equipment leaks (Irwin, 1997). The primary culprit is sulfur hexafluoride (SF6), an invisible, non-hazardous, inert gas with near-perfect dielectric properties that is used as an insulating gas in h...

It is proposed that the adverse effects from secondary diaphragmrupture in an expansion tunnelmaybe reducedor eliminated by orienting the tunnel vertically, matching the test gas pressure and the accelerator gas pressure, and initially separating the test gas from the accelerator gas by density stratification. This proposed configuration is termed the vertical expansion tunnel. Two benefits are...

Electricity industries worldwide have been restructured in order to introduce competition.As a result, decisionmakers are exposed to volatile electricity prices, which are positively correlated with those of natural gas in markets with price-setting gas-fired power plants. Consequently, gas-fired plants are said to enjoy a “natural hedge.” We explore the properties of such a built-in hedge for ...

In the last decade there have been many results about special families of graphs whose number of perfect matchings is given by perfect or near perfect powers (N. Elkies et al., J. Algebraic Combin. 1 (1992), 111– 132; B.-Y. Yang, Ph.D. thesis, Department of Mathematics, MIT, Cambridge, MA, 1991; J. Propp, New Perspectives in Geometric Combinatorics, Cambridge University Press, 1999). In this pa...

In 1961, P.W. Kasteleyn enumerated the domino tilings of a 2n × 2n chessboard. His answer was always a square or double a square (we call such a number "squarish"), but he did not provide a combinatorial explanation for this. In the present thesis, we prove by mostly combinatorial arguments that the number of matchings of a large class of graphs with 4-fold rotational symmetry is squarish; our ...

The effects of chemical and structural surface heterogeneity on the CH4 adsorption behaviour on microporous carbons have been investigated using a hybrid theoretical approach, including the use of density functional theory (DFT), molecular dynamics (MD), and grand canonical Monte Carlo (GCMC) simulations. Bader charge analysis is first performed to analyze the surface atomic partial charges. Th...

We analyze the interpretation of spherically symmetric perfect fluid solutions that admit a flat synchronization orthogonal to flow as thermodynamic in local thermal equilibrium. The ideal gas sonic condition is examined for this family metrics, and macroscopic conditions physical reality are accurately tested some specific solutions.