Transformation of the Microwave Resonance Properties of Metastructures with CdS and CdSe at One- and Two-Photon Excitation

JETP Letters - Photonically controlled metastructures containing resonant conducting dipole and chiral elements with CdS and CdSe in gaps have been proposed, implemented, and studied in a waveguide...     

The free energy of a macroscopic system

The statistical mechanics of classical and quantum mechanical systems interacting with many-body forces are investigated in the canonical and grand canonical ensembles. Under various general conditions on the attractive and repulsive parts of the potential energy and on the shapes of the domains _k confining the system, it is shown that the canonical free energy per particle and the grand canonical pressure have unique limits for infinite systems which are convex monotonie functions of the specific volume and chemical potential respectively, and satisfy the expected thermodynamic relations.For pure pair forces with potential (r) sufficient conditions are: (r)D ₁/r³⁺ as r0, |(r)|D ₂/r³⁺ as r (>0), and (r)-w₀ all r; the domains _k may be constructed from a finite set of bounded domains of arbitrary shape by any sequence of isotropic expansions such that the volume V(_k) approaches infinity with k.The work reported here was done while the author was on leave of absence from The Wheatstone Physics Laboratory, King's College, London W. C. 2, England.     

Asymptotic behavior of Toeplitz matrices and determinants

We consider the inverse X _N and determinant D_N(c) of an N×N Toeplitz matrix C_N=[c_i?j] ₀ ^N?1 as N ar∞. Under the condition that there exists a monotonic decreasing summable bound b _n ≧|c _n |+|c _?n |, and that the generating function \(c(\theta ) = \sum\limits_{n = - \infty }^\infty {c_n e^{i{\text{ }}n{\text{ }}\theta } }\) does not vanish, we construct a matrix iterative process which yields (i) explicit asymptotic formulae for the elements of X_N when v(c) = (2π)^?1 [arg{c(2π)}?arg{c(0)}] is zero. Thence we obtain (ii) expressions for the constants, and bounds on the remainder, in the asymptotic formula $$\ln D_N (c) = N{\text{ }}k_0 (c) + E_0 (c) + E_{1,N} (c) + \mathcal{R}_N (c),$$ and (iii) the extension of this formula to the case of general integral v(c). Under certain further conditions the monotonicity of E_1,N+?_N is proved. We discuss various identities for D_N which apply when c(θ) is a rational function of e^iθ and mention a conjecture for D _N when c(θ) has zeros, and is discontinuous with arbitrary v(c).     

Solid argon : Monte Carlo calculations along the solid-vapour coexistence curve

Thermodynamic properties and elastic constants of solid argon have been calculated using an accurate pair-potential together with the Monte Carlo method and the Axilrod-Teller three-body potential. Excellent agreement is obtained with experimental values of the pressure and internal energy. However the calculated elastic constants show systematic deviations from the experimental values. These discrepancies are examined in some detail and possible reasons for them are given.     

Electron radiation damage in copper in the high voltage electron microscope

The various factors influencing the nucleation of radiation damage in the HVEM are reviewed. A method for obtaining quantitative information from observations is given. The effect of reirradiation at room temperature on the damage formed at elevated temperatures is shown. This effect may give experimental information concerning the strain fields surrounding large dislocation loops.     

Magnetic Properties of Pt-Based Nanoalloys: A Critical Review

In recent years, magnetic nanoalloys (MNAs) have attracted many attentions from all over the world, due to their potential applications in the broad fields of magneto-optics, data storage, engineering, and biology. Among these MNAs, Pt–M (M = Fe, Co, Ni) MNAs have been considered to be the most promising ones, due to their superparamagnetism and response to a magnetic field. Here, we firstly review the experimental work on the synthesis, characterization, and magnetic properties of Pt–Fe, Pt–Co, and Pt–Ni MNAs. Then, we discuss the recent theoretical work on Pt–Fe, Pt–Co, and Pt–Ni MNAs. Moreover, we also review the main applications of Pt–Fe, Pt–Co, and Pt–Ni MNAs in the fields of biology, information storage, and magnetic separation. It is found that the size, shape, and composition of Pt–Fe, Pt–Co, and Pt–Ni MNAs play a critical role on their fundamental magnetic properties from both the experimental and theoretical points of view. It is expected that this review could be a valuable resource for both experimental and theoretical researchers, who are interested in Pt-based MNAs.     

Resolving Extensions of Finitely Presented Systems

In this paper we extend certain central results of zero dimensional systems to higher dimensions. The first main result shows that if (Y,f) is a finitely presented system, then there exists a Smale space (X,F) and a u-resolving factor map π ₊:X→Y. If the finitely presented system is transitive, then we show there is a canonical minimal u-resolving Smale space extension. Additionally, we show that any finite-to-one factor map between transitive finitely presented systems lifts through u-resolving maps to an s-resolving map.