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In the present paper, by using equivariant maps, we construct explicitly relative invariants of the 2- simple prehomogeneous vector spaces of type I, which are classified in [T. Kimura, S. Kasai, M. Inuzuka, O. Yaskura. A classifi...
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In the present paper, by using equivariant maps, we construct explicitly relative invariants of the 2- simple prehomogeneous vector spaces of type I, which are classified in [T. Kimura, S. Kasai, M. Inuzuka, O. Yaskura. A classification of 2-simple prehomogeneous vector spaces of type I, J. Algebra 114 (1988) 369-400]. This is a continuation of our previous work IT. Kogiso, G. Miyabe, M. Kobayashi, T. Kimura, Non-regular 2-simple prehomogeneous vector spaces of type I and their relative invariants, J. Algebra 251 (2002) 27-69 T. Kogiso, G. Miyabe, M. Kobayashi, T. Kimura, Relative invariants of some 2-simple prehomogeneous vector spaces, Math. Comp. 72 (2003) 865-889]. (c) 2006 Elsevier Inc. All rights reserved.
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Recently, extensive calculations have been made on b-functions of prehomogeneous vector spaces with reducible representations. By examining the results of these calculations, we observe that b-functions of a large number of reduci...
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Recently, extensive calculations have been made on b-functions of prehomogeneous vector spaces with reducible representations. By examining the results of these calculations, we observe that b-functions of a large number of reducible prehomogeneous vector spaces have decompositions which seem to be correlated to the decomposition of representations. In the present; paper, we show that such phenomena can be ascribed to a certain multiplicity one property for group actions on polynomial rings. Furthermore, we give some criteria for the multiplicity one property. Our method can be applied equally to non-regular prehomogeneous vector spaces.
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Dendrimer-like star-branched polymers recently developed as a new class of hyper-branched polymers, which resemble well-known dendrimers in branched architecture, but comprise polymer chains between junctions, are reviewed in this...
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Dendrimer-like star-branched polymers recently developed as a new class of hyper-branched polymers, which resemble well-known dendrimers in branched architecture, but comprise polymer chains between junctions, are reviewed in this highlight article. In particular, we focus on the precise synthesis of various dendrimer-like star-branched polymers and block copolymers by the recently developed methodology based on iterative divergent approach using living anionic polymers and 1,1-bis(3-tert-butyldimethylsilyloxy methylphenyl)ethylene. (c) 2006 Wiley Periodicals, Inc.
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The fast particle flux onto the material surfaces and the fast ion edge distribution are compared between ASDEX Upgrade H-mode and quiescent H-mode (QH-mode) in the presence of toroidal ripple and radial electric field Er by using...
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The fast particle flux onto the material surfaces and the fast ion edge distribution are compared between ASDEX Upgrade H-mode and quiescent H-mode (QH-mode) in the presence of toroidal ripple and radial electric field Er by using the orbit-following Monte Carlo code ASCOT. So far, the QH-mode has been obtained only with counter-injection of the neutral beams. The wall load caused by co-injected beams in H-mode is small and without ripple it is negligible. With counter-injection (QH-mode case), the wall load is substantial even without the ripple. The ripple always increases the wall load, but the divertor load is either decreased or is unchanged. The effect of Er alone is small, but it boosts the ripple-trapping of beam particles near the location of its maximum absolute value on the horizontal midplane. The fast ion density and its gradient in the pedestal region are higher for counter-injected than for co-injected particles. The ripple decreases the density gradient in both the cases. To make a connection with the experiment, the flux of high-energy tritons from beam-plasma interactions onto the surfaces is evaluated. The simulated flux of tritons impinging on the material surfaces is in qualitative agreement with the measured tritium distribution on the wall and divertor.
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Liquid-liquid wetting failure is investigated in a two-dimensional Couette system with two immiscible fluids of arbitrary viscosity. The problem is solved exactly using a sharp interface treatment of hydrodynamics (lubrication the...
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Liquid-liquid wetting failure is investigated in a two-dimensional Couette system with two immiscible fluids of arbitrary viscosity. The problem is solved exactly using a sharp interface treatment of hydrodynamics (lubrication theory) as it function of the control parameters - capillary number, viscosity ratio and separation of scale - Le. the slip length versus the macroscopic size of the system. The transition at a critical capillary number, from a stationary to a non-stationary interface, IS Studied while changing the control parameters. Comparisons with similar existing analyses for other geometries. Such as the Landau-Levich problem. are also carried Out. A numerical method of analysis is also presented, based oil diffuse interlace models obtained from multiphase extensions of the lattice Boltzmann equation. Sharp interface and diffuse interface models are quantitatively compared, indicating the correct limit of applicability of the diffuse interface models.
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Bubble-bubble interactions in a wall-sliding bubble swarm are investigated experimentally using a particle tracking velocimetry (PTV) technique. Firstly, the drag coefficient of a single wall-sliding bubble is measured, in which t...
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Bubble-bubble interactions in a wall-sliding bubble swarm are investigated experimentally using a particle tracking velocimetry (PTV) technique. Firstly, the drag coefficient of a single wall-sliding bubble is measured, in which the distance between the wall and the bubble interface is much shorter than the average bubble diameter. Secondly, the probability distribution of the nearest bubble around individual bubbles in the bubble swarm is detected in the range from Re = 1 to around 20. Two kinds of statistical sampling techniques are used in order to identify the two-dimensional structure of the bubble-bubble interactions. A local modification of the drag coefficient in the swarm is obtained by calculating the interactive velocity of an individual bubble. Furthermore, the transition of a bubble's arrangement in the swarm is discussed by computing the relative velocity vector. The feature of the interaction patterns obtained by these techniques is classified based on Reynolds number. (C) 2004 Elsevier Ltd. All rights reserved.
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We investigate the effect of microbubbles on Taylor-Couette flow by means of direct numerical simulations. We employ an Eulerian-Lagrangian approach with a gas-fluid coupling based on the point-force approximation. Added mass, dra...
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We investigate the effect of microbubbles on Taylor-Couette flow by means of direct numerical simulations. We employ an Eulerian-Lagrangian approach with a gas-fluid coupling based on the point-force approximation. Added mass, drag, lift and gravity are taken into account in the modelling of the motion of the individual bubble. We find that very dilute suspensions of small non-deformable bubbles (volume void fraction below I %, zero Weber number and bubble Reynolds number;! 10) induce a robust statistically steady drag reduction (up to 20 %) in the wavy vortex flow regime (Re = 600-2500). The Reynolds number dependence of the normalized torque (the so-called torque reduction ratio (TRR) which corresponds to the drag reduction) is consistent with a recent series of experimental measurements performed by Murai et al. (J. Phys. Conf. Ser. vol. 14, 2005, p. 143). Our analysis suggests that the physical mechanism for the torque reduction in this regime is due to the local axial forcing, induced by rising bubbles, that is able to break the highly dissipative Taylor wavy vortices in the system. We finally show that the lift force acting on the bubble is crucial in this process. When it is neglected, the bubbles preferentially accumulate near the inner cylinder and the bulk flow is less efficiently modified. Movies are available with the online version of the paper.
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We have studied the metamagnetic transition in the Van Vleck paramagnetic compound PrCu2. This transition brings about an interchange between the easy (a) and the hard (c) axes' directions of the magnetization which is reflected i...
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We have studied the metamagnetic transition in the Van Vleck paramagnetic compound PrCu2. This transition brings about an interchange between the easy (a) and the hard (c) axes' directions of the magnetization which is reflected in drastic changes of the magnetoresistance and the de Haas-van Alphen oscillation. The origin of this metamagnetic transition is ascribed to the switching of the direction of the quadrupole moment in the 4f levels.
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A series of ternary compounds RRhIn5 (R: rare earth) has been grown in the single crystalline form by means of the flux method. The magnetic properties of these compounds were investigated by measuring the lattice parameter, elect...
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A series of ternary compounds RRhIn5 (R: rare earth) has been grown in the single crystalline form by means of the flux method. The magnetic properties of these compounds were investigated by measuring the lattice parameter, electrical resistivity, specific heat, magnetic susceptibility and magnetization. All the compounds crystallize in the tetragonal HoCoGa5-type structure. Most of these compounds order antiferromagnetically at low temperatures, except when R = Y, La, Pr, and Yb. The observed temperature dependence of the specific heat and the anisotropic features in the magnetic susceptibility and magnetization have been analyzed on the basis of the crystalline electric field (CEF) model. The overall energy splitting of the CEF scheme in RRhIn5 is estimated to be in the range from 44 to 330 K. The magnetic properties are discussed on the basis of the sign of the CEF parameter.
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We will study a relationship between the Brylinski-Radon and the Fourier transforms of a monodromic perverse sheaf. In fact we will show that they are equivalent modulo a constant perverse sheaf. As an application, we will discuss...
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We will study a relationship between the Brylinski-Radon and the Fourier transforms of a monodromic perverse sheaf. In fact we will show that they are equivalent modulo a constant perverse sheaf. As an application, we will discuss a relation between the Sklyanin transform and the Brylinski-Radon transform. (c) 2005 Elsevier Inc. All rights reserved.
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