2001
DOI: 10.1134/1.1340893
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The conductivity of a 2D system with a doubly periodic arrangement of circular inclusions

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Cited by 7 publications
(12 citation statements)
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“…For two-dimensional topography lies somewhere between the two bounds, and one aim here is to quantify its exact dependence on topographic height and area fraction for some idealised two-dimensional topographies, in particular arrays of periodic cylinders for which highly accurate asymptotic solutions exist (e.g. Balagurov & Kashin 2001; Godin 2013). Another key question is how the classical wave equation analysis is modified by the introduction of rotation, i.e.…”
Section: Introductionmentioning
confidence: 99%
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“…For two-dimensional topography lies somewhere between the two bounds, and one aim here is to quantify its exact dependence on topographic height and area fraction for some idealised two-dimensional topographies, in particular arrays of periodic cylinders for which highly accurate asymptotic solutions exist (e.g. Balagurov & Kashin 2001; Godin 2013). Another key question is how the classical wave equation analysis is modified by the introduction of rotation, i.e.…”
Section: Introductionmentioning
confidence: 99%
“…Particular attention is given to cylindrical seamounts, because the multipole expansion method of e.g. Balagurov & Kashin (2001) and Godin (2013) can be used in this case to obtain highly accurate asymptotic solutions to the cell problems, including the new ‘rotating’ cell problem which arises from the rSWE. The outcome is various means to determine the topographically induced corrections to the dispersion relations of Kelvin, Poincaré and Rossby waves, including an explicit formula valid for Rossby waves in the presence of finite amplitude topography, complementing the quasi-geostrophic results of Benilov (2000) and Vanneste (2000 b ).…”
Section: Introductionmentioning
confidence: 99%
“…Besides above researches based on Rayleigh's method, there are also several other researches in different ways. Balagurov and Kashin , and Godin developed a method based on the use of elliptic function, where general lattices are considered. Jiang et al.…”
Section: Introductionmentioning
confidence: 99%
“…Besides above researches based on Rayleigh's method, there are also several other researches in different ways. Balagurov and Kashin [1], and Godin [5][6][7] developed a method based on the use of elliptic function, where general lattices are considered. Jiang et al [11] developed a method by using Eshelby's equivalent inclusion concept integrated with the results from the doubly quasi-periodic Riemann boundary value problems.…”
Section: Introductionmentioning
confidence: 99%
“…The typical of the measured J-V is very similar to shottky diode characteristics and may analyzed by using the following equation which described by : Where Js: is the saturation current density obtained from semi-log forward bias, k :Boltzman constant (J/K), T: room temperature (K), q: electron charge in C and n: ideality factor is given by [10]: The ideality factor decreased with oxidation time, that mean approach devise from the ideality characteristics after (60 sec) it is come back to increased with oxidation time because the surface channel is present in our diodes [12],see Table (1). We can also calculate the resistivity for PSi after and before thermal oxidation from J-V curve, Fig.…”
Section: Fig (7)mentioning
confidence: 99%