Calogero–Moser Model and R-Matrix Identities

Theoretical and Mathematical Physics - We discuss properties of R-matrix-valued Lax pairs for the elliptic Calogero-Moser model. In particular, we show that the family of Hamiltonians arising from...     

Chemical Structure,Porous Morphology,and Sorption Properties of Adsorbents Produced from Organic Technogenic Substrates (A Review)

Russian Journal of General Chemistry - The review provides information on the Porous structure and sorption properties of carbon and carbon-inorganic sorbents obtained from organic technogenic...     

Characteristics optimization of activated alumina desiccants based on product of a centrifugal thermal activation of gibbsite

Activated alumina desiccants modified with NaOH and KOH were synthesized from the product of a centrifugal thermal activation of gibbsite, with the subsequent hydration in an acid or alkaline medium, and their properties were studied. It was shown that the modification makes it possible to raise the dynamic capacity of desiccants produced from pseudoboehmite by up to a factor of 2 via formation of new super-strong basic centers the concentration of which grows with increasing content of an alkaline oxide. A correlation was found between the total concentration of basic centers on the surface of the desiccants and their dynamic capacity in drying of both dry and humid air. Use of the modified desiccants with high static and dynamic capacity will make it possible to improve the drying efficiency.     

Effect of the loading rate, angle of orientation of fibers, and temperature on the strength properties of birch

The present paper reports results of analysis of the strength and strain properties of birth wood at different loading rates, sample temperatures, and angles of orientation of fibers relative to the direction of loading. Dynamic tests (v=10 m/sec) with axial compression of the samples were conducted by the Kol'skii method on a setup with a Hopkinson compound rod. Noticeable dynamic strengthening of samples with angles of orientation of fibers α=0 and 5° was observed. At test temperatures +65, +20, and −30°C, the dynamic strength is higher than the quasistatic strength by approximately 23, 31, and 42% respectively. Institute of Experimental Physics, Sarov 607190. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 39, No. 6, pp. 154–158, November–December, 1998.     

Reconstruction of the blood flow velocity vector as an additional mode of ultrasonic tomograph

The possibility of simultaneous reconstruction of the blood flow velocity vector and spatial distributions of the speed of sound and absorption coefficient in a medical ultrasonic tomograph is discussed. The operating capacity of the proposed spatial-correlation method for determining the blood flow velocity vector is confirmed by experiments on a tomograph prototype.     

Scanning tunneling microscopy observation of ultrathin epitaxial CoSi<Subscript>2</Subscript>(111) films grown at a high temperature

Scanning tunneling microscopy (STM) is used to study the basic laws of growth of ultrathin epitaxial CoSi₂(111) films with Co coverages up to 4 ML formed upon sequential deposition of Co and Si atoms taken in a stoichiometric ratio onto the Co–Si(111) surface at room temperature and subsequent annealing at 600–700°C. When the coverage of Co atoms is lower than ~2.7 ML, flat CoSi₂ islands up to ~3 nm high with surface structure 2 × 2 or 1 × 1 grow. It is shown that continuous epitaxial CoSi₂ films containing 3–4 triple Si–Co–Si layers grow provided precise control of deposition. CoSi₂ films can contain inclusions of the local regions with (2 × 1)Si reconstruction. At a temperature above 700°C, a multilevel CoSi₂ film with pinholes grows because of vertical growth caused by the difference between the free energies of the CoSi₂(111) and Si(111) surfaces. According to theoretical calculations, structures of A or B type with a coordination number of 8 of Co atoms are most favorable for the CoSi₂(111)2 × 2 interface.     

Theoretical analysis of the tautomer composition of cytosine isolated in an Ar matrix

The IR spectra of cytosine and its five tautomers are calculated and analyzed in the B3LYP/6-31G(d) approximation. Comparison of calculated and experimental spectra showed that, in the isolated state, there occur four tautomeric forms, cis, trans, trans-amino-hydroxy, and cis-imino-oxo, as well as one canonical form of cytosine.     

Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras,Calogero–Moser systems,and KZB equations

We construct twisted Calogero–Moser systems with spins as Hitchin systems derived from the Higgs bundles over elliptic curves, where the transition operators are defined by arbitrary finite-order automorphisms of the underlying Lie algebras. We thus obtain a spin generalization of the twisted D’Hoker–Phong and Bordner–Corrigan–Sasaki–Takasaki systems. In addition, we construct the corresponding twisted classical dynamical r-matrices and the Knizhnik–Zamolodchikov–Bernard equations related to the automorphisms of Lie algebras.