Theory of ice premelting in porous media

Premelting describes the confluence of phenomena that are responsible for the stable existence of the liquid phase of matter in the solid region of its bulk phase diagram. Here we develop a theoretical description of the premelting of water ice contained in a porous matrix, made of a material with a melting temperature substantially larger than ice itself, to predict the amount of liquid water in the matrix at temperatures below its bulk freezing point. Our theory combines the interfacial premelting of ice in contact with the matrix, grain boundary melting in the ice, and impurity and curvature induced premelting, the latter occurring in regions which force the ice-liquid interface into a high curvature configuration. These regions are typically found at points where the matrix surface is concave, along contact lines of a grain boundary with the matrix, and in liquid veins. Both interfacial premelting and curvature induced premelting depend on the concentration of impurities in the liquid, which, due to the small segregation coefficient of impurities in ice are treated as homogeneously distributed in the premelted liquid. Our principal result is an equation for the fraction of liquid in the porous medium as a function of the undercooling, which embodies the combined effects of interfacial premelting, curvature induced premelting, and impurities. The result is analyzed in detail and applied to a range of experimentally relevant settings.Comment: 14 pages, 10 figures, accepted for publication in Physical Review

GUARD DOGS AND GAS EXPLODERS AS COYOTE DEPREDATION CONTROL TOOLS IN NORTH DAKOTA

Guard dogs and gas exploders have been successfully used in North Dakota to protect sheep from coyote (Canis latrans) depredation since the mid-1970s. They have been used in addition to other lethal and nonlethal control tools. The U.S. Fish and Wildlife Service gathered information from field testing and landowner interviews to measure their effectiveness. Guard dogs reduced the rate of depredation by 93 percent on the 36 ranches surveyed. Gas exploders deterred coyotes from depredating on 30 ranches an average of 31 days during the 1980 and 1981 grazing seasons. An increasing number of sheep producers are using these control methods to reduce losses and become less dependent on a publicly funded damage control program

Phase behaviour of binary mixtures of diamagnetic colloidal platelets in an external magnetic field

Using fundamental measure density functional theory we investigate paranematic-nematic and nematic-nematic phase coexistence in binary mixtures of circular platelets with vanishing thicknesses. An external magnetic field induces uniaxial alignment and acts on the platelets with a strength that is taken to scale with the platelet area. At particle diameter ratio lambda=1.5 the system displays paranematic-nematic coexistence. For lambda=2, demixing into two nematic states with different compositions also occurs, between an upper critical point and a paranematic-nematic-nematic triple point. Increasing the field strength leads to shrinking of the coexistence regions. At high enough field strength a closed loop of immiscibility is induced and phase coexistence vanishes at a double critical point above which the system is homogeneously nematic. For lambda=2.5, besides paranematic-nematic coexistence, there is nematic-nematic coexistence which persists and hence does not end in a critical point. The partial orientational order parameters along the binodals vary strongly with composition and connect smoothly for each species when closed loops of immiscibility are present in the corresponding phase diagram.Comment: 9 pages, to appear in J.Phys:Condensed Matte

A hard-sphere model on generalized Bethe lattices: Statics

We analyze the phase diagram of a model of hard spheres of chemical radius one, which is defined over a generalized Bethe lattice containing short loops. We find a liquid, two different crystalline, a glassy and an unusual crystalline glassy phase. Special attention is also paid to the close-packing limit in the glassy phase. All analytical results are cross-checked by numerical Monte-Carlo simulations.Comment: 24 pages, revised versio

Excitation of guided waves in layered structures with negative refraction

We study the electromagnetic beam reflection from layered structures that include the so-called double-negative materials, also called left-handed metamaterials. We predict that such structures can demonstrate a giant lateral Goos-Hanchen shift of the scattered beam accompanied by splitting of the reflected and transmitted beams due to the resonant excitation of surface waves at the interfaces between the conventional and double-negative materials as well as due to excitation of leaky modes in the layered structures. The beam shift can be either positive or negative, depending on the type of the guided waves excited by the incoming beam. We also perform finite-difference time-domain simulations and confirm the major effects predicted analytically.Comment: 13 pqages, 10 figures. Also available at http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-2-48

Unified theory for Goos-H\"{a}nchen and Imbert-Fedorov effects

A unified theory is advanced to describe both the lateral Goos-H\"{a}nchen (GH) effect and the transverse Imbert-Fedorov (IF) effect, through representing the vector angular spectrum of a 3-dimensional light beam in terms of a 2-form angular spectrum consisting of its 2 orthogonal polarized components. From this theory, the quantization characteristics of the GH and IF displacements are obtained, and the Artmann formula for the GH displacement is derived. It is found that the eigenstates of the GH displacement are the 2 orthogonal linear polarizations in this 2-form representation, and the eigenstates of the IF displacement are the 2 orthogonal circular polarizations. The theoretical predictions are found to be in agreement with recent experimental results.Comment: 15 pages, 3 figure

The value chain for seed and ware potatoes in Kenya: Opportunities for development

In Kenya potato is an important food crop, second after maize. Potatoes are grown on 128,000 ha per year with average yields of about 8 tonnes per ha. The yield is far below its po-tential and should be improved to enhance food security. Of all potato growers in Kenya, 98% are characterised as small-scale farmers, producing less than 0.4 ha of potatoes per year per farm (total of two planting seasons). They produce 83% of the national production. Lack of good quality seed is a main reason for low yields. The fast-track seed project aims to improve availability of certified seed. Imported seed needs to be multiplied locally once or twice to reduce the cost price and make it affordable for small-scale growers. It is estimated that there is potential for at most 1,000 ha of professional seed production in Kenya to meet the market demand for certified seed. In Kenya about 98% of ware potatoes are sold for 'fresh' consumption. For industrial processing the most favourable opportunities are the production of crisps and fresh - not frozen - French fries. To change the low-input low-output strategy of many small-scale farmers linkages between producers and markets need to be improved. In the short term, improvement of potato growing and crop management should receive higher priority than storage and mechanisation. Storage and mechanisation should be adapted to local conditions and needs. Two cases have been indicated in which investments in professional cooled storage facilities are necessary; - storage of seed potatoes of varieties with a long dormancy period; - storage of ware potatoes for processing industry and some high-end retailers. Long-term seed storage in modern stores required for varieties with long dormancy increases the cost price of seed by 50% compared with short-term storage in diffused light stores. This makes short dor-mancy an important trait for potato varieties in Kenya, where potatoes are planted during two growing seasons. Machinery supplied for potato growing in Kenya should be geared to local needs. Higher yields and more multiplications of imported seed reduce the cost price of seed potatoes produced in Kenya. The cost price of imported seed after two multiplications is competitive with locally produced seed from minitubers after three multiplications. This report describes the current situation of the potato sector in Kenya and opportunities for further de-velopment. The study focuses on possibilities of the Dutch agribusiness to facilitate these developments. Existing information has been collected, although information on potato production was not easily availa-ble. In addition, during a mission to Kenya stakeholders were visited and interviewed. This resulted in cost- price calculations for seed potato production (short and long-term storage, imported seed and minitubers) and market information

Gyrotropic impact upon negatively refracting surfaces

Surface wave propagation at the interface between different types of gyrotropic materials and an isotropic negatively refracting medium, in which the relative permittivity and relative permeability are, simultaneously, negative is investigated. A general approach is taken that embraces both gyroelectric and gyromagnetic materials, permitting the possibility of operating in either the low GHz, THz or the optical frequency regimes. The classical transverse Voigt configuration is adopted and a complete analysis of non-reciprocal surface wave dispersion is presented. The impact of the surface polariton modes upon the reflection of both plane waves and beams is discussed in terms of resonances and an example of the influence upon the Goos–Hänchen shift is given

Local Anisotropy of Fluids using Minkowski Tensors

Statistics of the free volume available to individual particles have previously been studied for simple and complex fluids, granular matter, amorphous solids, and structural glasses. Minkowski tensors provide a set of shape measures that are based on strong mathematical theorems and easily computed for polygonal and polyhedral bodies such as free volume cells (Voronoi cells). They characterize the local structure beyond the two-point correlation function and are suitable to define indices $0\leq \beta_\nu^{a,b}\leq 1$ of local anisotropy. Here, we analyze the statistics of Minkowski tensors for configurations of simple liquid models, including the ideal gas (Poisson point process), the hard disks and hard spheres ensemble, and the Lennard-Jones fluid. We show that Minkowski tensors provide a robust characterization of local anisotropy, which ranges from $\beta_\nu^{a,b}\approx 0.3$ for vapor phases to $\beta_\nu^{a,b}\to 1$ for ordered solids. We find that for fluids, local anisotropy decreases monotonously with increasing free volume and randomness of particle positions. Furthermore, the local anisotropy indices $\beta_\nu^{a,b}$ are sensitive to structural transitions in these simple fluids, as has been previously shown in granular systems for the transition from loose to jammed bead packs