3 resultados para Complex variable theory


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Most ice in nature forms because of impurities which boost the exceedingly low nucleation rate of pure supercooled water. However, the microscopic details of ice nucleation on these substances remain largely unknown. Here, we have unraveled the molecular mechanism and the kinetics of ice formation on kaolinite, a clay mineral playing a key role in climate science. We find that the formation of ice at strong supercooling in the presence of this clay is about 20 orders of magnitude faster than homogeneous freezing. The critical nucleus is substantially smaller than that found for homogeneous nucleation and, in contrast to the predictions of classical nucleation theory (CNT), it has a strong two-dimensional character. Nonetheless, we show that CNT describes correctly the formation of ice at this complex interface. Kaolinite also promotes the exclusive nucleation of hexagonal ice, as opposed to homogeneous freezing where a mixture of cubic and hexagonal polytypes is observed.

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The strong mixing of many-electron basis states in excited atoms and ions with open f shells results in very large numbers of complex, chaotic eigenstates that cannot be computed to any degree of accuracy. Describing the processes which involve such states requires the use of a statistical theory. Electron capture into these “compound resonances” leads to electron-ion recombination rates that are orders of magnitude greater than those of direct, radiative recombination and cannot be described by standard theories of dielectronic recombination. Previous statistical theories considered this as a two-electron capture process which populates a pair of single-particle orbitals, followed by “spreading” of the two-electron states into chaotically mixed eigenstates. This method is similar to a configuration-average approach because it neglects potentially important effects of spectator electrons and conservation of total angular momentum. In this work we develop a statistical theory which considers electron capture into “doorway” states with definite angular momentum obtained by the configuration interaction method. We apply this approach to electron recombination with W20+, considering 2×106 doorway states. Despite strong effects from the spectator electrons, we find that the results of the earlier theories largely hold. Finally, we extract the fluorescence yield (the probability of photoemission and hence recombination) by comparison with experiment.

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OBJECTIVES: To conduct a preliminary study comparing different trauma and clinical populations on types of shame coping style and levels of state shame and guilt.

METHODS: A mixed independent groups/correlational design was employed. Participants were recruited by convenience sampling of 3 clinical populations-complex trauma (n = 65), dissociative identity disorder (DID; n = 20), and general mental health (n = 41)-and a control group of healthy volunteers (n = 125). All participants were given (a) the Compass of Shame Scale, which measures the four common shame coping behaviors/styles of "withdrawal," "attack self," "attack other," and "avoidance," and (b) the State Shame and Guilt Scale, which assesses state shame, guilt, and pride.

RESULTS: The DID group exhibited significantly higher levels of "attack self," "withdrawal," and "avoidance" relative to the other groups. The complex trauma and general mental health groups did not differ on any shame variable. All three clinical groups had significantly greater levels of the "withdrawal" coping style and significantly impaired shame/guilt/pride relative to the healthy volunteers. "Attack self" emerged as a significant predictor of increased state shame in the complex trauma, general mental health, and healthy volunteer groups, whereas "withdrawal" was the sole predictor of state shame in the DID group.

CONCLUSIONS: DID emerged as having a different profile of shame processes compared to the other clinical groups, whereas the complex trauma and general mental health groups had comparable shame levels and variable relationships. These differential profiles of shame coping and state shame are discussed with reference to assessment and treatment. (PsycINFO Database Record