Liquid-liquid phase transition for soft-core attractive potential

Using event-driven molecular dynamics simulations, we study a three-dimensional one-component system of spherical particles interacting via a discontinuous potential combining a repulsive square soft core and an attractive square well. In the case of a narrow attractive well, it has been shown that this potential has two metastable gas-liquid critical points. Here we systematically investigate how the changes of the parameters of this potential affect the phase diagram of the system. We find a broad range of potential parameters for which the system has both a gas-liquid critical point C1 and a liquid-liquid critical point C2. For the liquid-gas critical point we find that the derivatives of the critical temperature and pressure, with respect to the parameters of the potential, have the same signs: they are positive for increasing width of the attractive well and negative for increasing width and repulsive energy of the soft core. This result resembles the behavior of the liquid-gas critical point for standard liquids. In contrast, for the liquid-liquid critical point the critical pressure decreases as the critical temperature increases. As a consequence, the liquid-liquid critical point exists at positive pressures only in a finite range of parameters. We present a modified van der Waals equation which qualitatively reproduces the behavior of both critical points within some range of parameters, and gives us insight on the mechanisms ruling the dependence of the two critical points on the potential¿s parameters. The soft-core potential studied here resembles model potentials used for colloids, proteins, and potentials that have been related to liquid metals, raising an interesting possibility that a liquid-liquid phase transition may be present in some systems where it has not yet been observed.

Quantum tunneling of domain walls in ferromagnets

We present a theoretical study of the quantum depinning of domain walls. Our approach extends earlier work by Stamp and confirms his suggestion that quantum tunneling of domain walls in ferromagnets may reveal itself at a macroscopic level in a manner similar to the Josephson effect in superconductors. The rate of tunneling of a domain wall through a barrier formed by a planar defect is calculated in terms of macroscopic parameters of the ferromagnet. A universal behavior of the WKB exponent in the limit of small barriers is demonstrated. The effect of dissipation on the tunneling rate is studied. It is argued that quantum diffusion of domain walls apparently explains a nonthermal magnetic relaxation observed in some materials at low temperatures.

Finite-size scaling investigation of the liquid-liquid critical point in ST2 water and its stability with respect to crystallization.

The liquid-liquid critical point scenario of water hypothesizes the existence of two metastable liq- uid phases low-density liquid (LDL) and high-density liquid (HDL) deep within the supercooled region. The hypothesis originates from computer simulations of the ST2 water model, but the stabil- ity of the LDL phase with respect to the crystal is still being debated. We simulate supercooled ST2 water at constant pressure, constant temperature, and constant number of molecules N for N ≤ 729 and times up to 1 μs. We observe clear differences between the two liquids, both structural and dynamical. Using several methods, including finite-size scaling, we confirm the presence of a liquid-liquid phase transition ending in a critical point. We find that the LDL is stable with respect to the crystal in 98% of our runs (we perform 372 runs for LDL or LDL-like states), and in 100% of our runs for the two largest system sizes (N = 512 and 729, for which we perform 136 runs for LDL or LDL-like states). In all these runs, tiny crystallites grow and then melt within 1 μs. Only for N ≤ 343 we observe six events (over 236 runs for LDL or LDL-like states) of spontaneous crystal- lization after crystallites reach an estimated critical size of about 70 ± 10 molecules.

Quantum relaxation in random magnets

We present a comprehensive study of the low-temperature magnetic relaxation in random magnets. The first part of the paper contains theoretical analysis of the expected features of the relaxation, based upon current theories of quantum tunneling of magnetization. Models of tunneling, dissipation, the crossover from the thermal to the quantum regime, and the effect of barrier distribution on the relaxation rate are discussed. It is argued that relaxation-type experiments are ideally suited for the observation of magnetic tunneling, since they automatically provide the condition of very low barriers. The second part of the paper contains experimental results on transition-metal¿rare-earth amorphous magnets. Structural and magnetic characterization of materials is presented. The temperature and field dependence of the magnetic relaxation is studied. Our key observation is a nonthermal character of the relaxation below a few kelvin. The observed features are in agreement with theoretical suggestions on quantum tunneling of magnetization.

Quantum tunneling of vortices in the Tl2CaBa2Cu2O8 superconductor

Magnetic-relaxation measurements of a Tl-based high-Tc superconductor show temperature-independent flux creep below 6 K. The effect is analyzed in terms of the overdamped quantum diffusion of two-dimensional vortices. Good agreement between theory and experiment is found.

Quantum decay of metastable states in small magnetic particles

We present an imaginary-time path-integral study of the problem of quantum decay of a metastable state of a uniaxial magnetic particle placed in the magnetic field at an arbitrary angle. Our findings agree with earlier results of Zaslavskii obtained by mapping the spin Hamiltonian onto a particle Hamiltonian. In the limit of low barrier, weak dependence of the decay rate on the angle is found, except for the field which is almost normal to the anisotropy axis, where the rate is sharply peaked, and for the field approaching the parallel orientation, where the rate rapidly goes to zero. This distinct angular dependence, together with the dependence of the rate on the field strength, provides an independent test for macroscopic spin tunneling.

Samoyedic studies : a state-of-the-art report

Abstract

Who wrote the Second Ave maris stella of Tomás Luis de Victoria?

Contrary to what Felipe Pedrell indicates, the second Ave maris stella in his Victoria's collected works (vol. V, 1908, pp. 100-3, n° 33) doesn't appear in the collection published in 1600 in Madrid by the composer, nor in any other of the musician's books. In the 1600 edition, Victoria reissues the two first verses (plainchant followed by polyphony) of the Ave maris stella published in 1576 and then again in 1581. The earliest source of the problematic Ave maris stella is Munich, Bayerische Staatsbibliothek, Musik-Abteilung, 2 Mus. pr. 23 handschriftlicher Beiband, dating from the third quarter oft he seventeenth century. This source is a manuscrit that runs as an appendix to the 1581 edition of Victoria's hymns. No attributions are given in the manuscript. The first attributions of the piece to Victoria arise in the nineteenth century, in manuscripts copied by Johann Michael Hauber, Johann Caspar Aiblinger, August Baumgartner and Carl Proske, and preserved in Munich and Regensburg. Proske pubished the piece in his Musica divina in 1859 (Annus primus, vol. III, pp. 419-24). The most probable hypothesis ist that Pedrell had knowledge of the second Ave maris stella, under the spanish composer's name, via Proske's Musica divina. In all likelihood the piece is not by Victoria, not least because the composer has never written odd polyphonic verses of hymns. In his Studies in the Music of Tomás Luis de Victoria (2001), Eugene Casjen Cramer relies on the supposed authenticity of the work to ascribe the others pieces of Munich, Bayerische Staatsbibliothek, Musik-Abteilung, 2 Mus. pr. 23 handschriftlicher Beiband to the composer. These attributions should therefore be refuted.

Variabilidade de genótipos de milho quanto à composição de carotenoides nos grãos

O objetivo deste trabalho foi caracterizar e avaliar a variabilidade quanto ao teor e perfil de carotenoides nos grãos de 134 genótipos de milho (Zea mays), com vistas à utilização em programas de biofortificação. Os materiais foram provenientes dos campos experimentais e do Banco Ativo de Germoplasma da Embrapa Milho e Sorgo, Sete Lagoas, MG. São cultivares e híbridos comerciais, linhagens-elite e outros acessos escolhidos com base na coloração amarelo-alaranjada do endosperma. A quantificação do teor de carotenoides totais, carotenos e xantofilas mono-hidroxilada e di-hidroxilada dos grãos foi realizada por método cromatográfico-espectrofotométrico. As médias encontradas nos grãos foram 22,34µ gg-1 de carotenoides totais, 2,55µ gg-1 de carotenos, 3,86µ gg-1 de xantofilas mono-hidroxiladas e 15,93µ gg-1 de xantofilas di-hidroxiladas. Os genótipos foram agrupados em 18 grupos pelo método de Tocher. O germoplasma da Embrapa possui potencial para ser usado em programas de desenvolvimento de linhagens de milho biofortificadas, quanto ao total de carotenoides pró-vitamina A.

Seleção de linhagens de sorgo granífero eficientes e responsivas à aplicação de fósforo

O objetivo deste trabalho foi selecionar linhagens de sorgo simultaneamente responsivas ao fósforo e com elevada eficiência produtiva quanto a esse nutriente. Foram avaliadas 36 linhagens endogâmicas, em delineamento de blocos ao acaso, com duas repetições. Os caracteres usados para avaliação da eficiência produtiva foram produtividade média e eficiências de absorção, de utilização e de uso de fósforo, com e sem adubação fosfatada. Para análise da responsividade ao nutriente, foram avaliados caracteres de produtividade relativa e de eficiências de recuperação aparente, fisiológica e agronômica. Há variabilidade genética entre as linhagens quanto às eficiências de absorção, de utilização e de uso do fósforo, e quanto à responsividade ao nutriente, o que sugere a possibilidade de produção de híbridos destinados a nichos de mercado diferentes. As linhagens mais responsivas foram P9401, BR007B, BR008B, SC414-12E e SC566, e as mais eficientes, sob baixa disponibilidade de fósforo, foram ATF40B, SC566, BR005R, CMSXS225 e BR012 (R6). As linhagens ATF40B, ATF54 (f61), ATF54 (f596), QL3 e SC566 apresentaram melhor desempenho simultâneo das diferentes eficiências avaliadas e da responsividade ao fósforo. Apenas a avaliação do caráter produtividade, sob diferentes disponibilidades de fósforo, já permite identificar linhagens eficientes e responsivas ao fósforo.

Rotational Doppler effect in magnetic resonance

We compute the shift in the frequency of the spin resonance in a solid that rotates in the field of a circularly polarized electromagnetic wave. Electron-spin resonance, nuclear magnetic resonance, and ferromagnetic resonance are considered. We show that contrary to the case of the rotating LC circuit, the shift in the frequency of the spin resonance has strong dependence on the symmetry of the receiver. The shift due to rotation occurs only when rotational symmetry is broken by the anisotropy of the gyromagnetic tensor, by the shape of the body or by magnetocrystalline anisotropy. General expressions for the resonance frequency and power absorption are derived and implications for experiment are discussed.

Fundamentals and applications of spectroscopic ellipsometry

This paper describes the use of ellipsometry as a precise and accurate technique for characterizing substrates and overlayers. A brief historical development of ellipsometry and the basic principles necessary to understand how an ellipsometer works are presented. There are many examples of studies performed in addressing materials science issues, and several are presented here: measurements of thickness, optical properties, and modeling of surface roughness. These selected results obtained in our laboratory for substrates, Si/SiO2 interfaces, and polymers provide evidence that ellipsometry can play a critical role in characterizing different types of materials.