20 resultados para Variational methods for second-order elliptic equations


Relevância:

100.00% 100.00%

Publicador:

Resumo:

he UV spectrum of the adenine analogue 9-methyl-2-aminopurine (9M-2AP) is investigated with one- and two-color resonant two-photon ionization spectroscopy at 0.3 and 0.05 cm−1 resolution in a supersonic jet. The electronic origin at 32 252 cm−1 exhibits methyl torsional subbands that originate from the 0A′′1 (l = 0) and 1E ″ (l = ±1) torsional levels. These and further torsional bands that appear up to 000+230 cm−1 allow to fit the threefold (V 3) barriers of the torsional potentials as ∣∣V′′3∣∣=50 cm−1 in the S 0 and ∣∣V′3∣∣=126 cm−1 in the S 1 state. Using the B3LYP density functional and correlated approximate second-order coupled cluster CC2 methods, the methyl orientation is calculated to be symmetric relative to the 2AP plane in both states, with barriers of V′′3=20 cm−1 and V′3=115 cm−1. The 000 rotational band contour is 75% in-plane (a/b) polarized, characteristic for a dominantly long-axis 1ππ* excitation. The residual 25% c-axis polarization may indicate coupling of the 1ππ* to the close-lying 1 nπ* state, calculated at 4.00 and 4.01 eV with the CC2 method. However, the CC2 calculated 1 nπ oscillator strength is only 6% of that of the 1ππ* transition. The 1ππ* vibronic spectrum is very complex, showing about 40 bands within the lowest 500 cm−1. The methyl torsion and the low-frequency out-of-plane ν′1 and ν′2 vibrations are strongly coupled in the 1ππ* state. This gives rise to many torsion-vibration combination bands built on out-of-plane fundamentals, which are without precedence in the 1ππ* spectrum of 9H-2-aminopurine [S. Lobsiger, R. K. Sinha, M. Trachsel, and S. Leutwyler, J. Chem. Phys.134, 114307 (2011)]. From the Lorentzian broadening needed to fit the 000 contour of 9M-2AP, the 1ππ* lifetime is τ ⩾ 120 ps, reflecting a rapid nonradiative transition.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

In order to study further the long-range correlations ("ridge") observed recently in p+Pb collisions at sqrt(s_NN) =5.02 TeV, the second-order azimuthal anisotropy parameter of charged particles, v_2, has been measured with the cumulant method using the ATLAS detector at the LHC. In a data sample corresponding to an integrated luminosity of approximately 1 microb^(-1), the parameter v_2 has been obtained using two- and four-particle cumulants over the pseudorapidity range |eta|<2.5. The results are presented as a function of transverse momentum and the event activity, defined in terms of the transverse energy summed over 3.1methods, and to predictions from hydrodynamic models of p+Pb collisions. Despite the small transverse spatial extent of the p+Pb collision system, the large magnitude of v_2 and its similarity to hydrodynamic predictions provide additional evidence for the importance of final-state effects in p+Pb reactions.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

Introduction: Organisational changes in sports federations are often associated with a drift from a volunteer driven to an increasingly business-like phenomenon (Shilbury & Ferkins, 2011). This process of transfor-mation is be called as “professionalization”. Accordingly, professionalization seems to be an appropriate strategy for sport organisations in order to meet organizational pressure due to challenges of a more complex and dynamic changing environment adequately. Despite the increasing research interest and the attempts for systematization on the phenomenon of professionalization it still remains unclear what does the term professionalization exactly mean (Dowling et al., 2014). Thus, there is a lack of a consistent concept of professionalization that is needed in order to explore different facets and perspectives of this phenomenon more validly. Against this background following question emerged: What is the suitable concept of professionalization for analyzing the actual ongoing processes of change, adaption or transformation in sport federations? Methods: Dealing with this question, following two-step approach was choosen: (1) In a first step a scholar’s perspective at professionalisation of sport organisations will be displayed in order to explore both the common ground as well as divergences and inconsistencies in previous approaches. Therefore, a literature review is indicated. (2) In a second step, and in contrast to previous studies we will consider a practical point of view by a so called second-order observation of experts to gain valuable insights into current thinking and acting towards professionalization in sport federations. In doing so, a hermeneutical approach is used, which is about understanding the meaning of contexts by grasping the everyday world, and draw insight and meaning from it (Shilbury et al., 2013). Accordance with hermeneutics, the explorative interpretive knowledge of expert interviews was used. The interviews were conducted with a sample of six selected experts, who have both dedicated insider knowledge and the overall view of all Swiss sport federations. Results and discussion: The summaries of literature review could be categorized into two research currents. The one defines professionalization as a structural process towards professional status of occupations. The other defines it in a broader sense as an organisational change towards a business-like approach. Whereas the first perspective there is a broad scientific consensus that second isn’t that clear, however. Explorative analysis of interview data reveals different themes in relation to professionalization of sports federation. First theme deals with a changed philosophy as more strategic alignment towards for-profit, efficiency and quality orientation. Second theme refers to paid work associated with more competence orientation and balanced governance between paid and voluntary work. Third theme deals with acting shift towards more rationalization and efficiency by implementation of innovative management and communication tools. Based on findings of both our review of scholar`s perspective as well insights from experts we will provide – in the sense of synthesis – a more clear understanding of what does professionalization mean that can be useful in terms of further studies. References: Dowling, M., Edwards, J. & Washington, M. (2014). Understanding the concept of professionalisation in sport management research. Sport Management Review, 17 (4), 520–529. Shilbury, D., Ferkins, L. & Smythe, L. (2013). Sport governance encounters: Insights from lived experiences. Sport Management Review, 16,349–363. Shilbury, D., & Ferkins, L. (2011). Professionalisation, sport governance and strategic capability. Managing Leisure, 16, 108–127.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

The S0 ↔ S1 spectra of the mild charge-transfer (CT) complexes perylene·tetrachloroethene (P·4ClE) and perylene·(tetrachloroethene)2 (P·(4ClE)2) are investigated by two-color resonant two-photon ionization (2C-R2PI) and dispersed fluorescence spectroscopy in supersonic jets. The S0 → S1 vibrationless transitions of P·4ClE and P·(4ClE)2 are shifted by δν = −451 and −858 cm–1 relative to perylene, translating to excited-state dissociation energy increases of 5.4 and 10.3 kJ/mol, respectively. The red shift is ∼30% larger than that of perylene·trans-1,2-dichloroethene; therefore, the increase in chlorination increases the excited-state stabilization and CT character of the interaction, but the electronic excitation remains largely confined to the perylene moiety. The 2C-R2PI and fluorescence spectra of P·4ClE exhibit strong progressions in the perylene intramolecular twist (1au) vibration (42 cm–1 in S0 and 55 cm–1 in S1), signaling that perylene deforms along its twist coordinate upon electronic excitation. The intermolecular stretching (Tz) and internal rotation (Rc) vibrations are weak; therefore, the P·4ClE intermolecular potential energy surface (IPES) changes little during the S0 ↔ S1 transition. The minimum-energy structures and inter- and intramolecular vibrational frequencies of P·4ClE and P·(4ClE)2 are calculated with the dispersion-corrected density functional theory (DFT) methods B97-D3, ωB97X-D, M06, and M06-2X and the spin-consistent-scaled (SCS) variant of the approximate second-order coupled-cluster method, SCS-CC2. All methods predict the global minima to be π-stacked centered coplanar structures with the long axis of tetrachloroethene rotated by τ ≈ 60° relative to the perylene long axis. The calculated binding energies are in the range of −D0 = 28–35 kJ/mol. A second minimum is predicted with τ ≈ 25°, with ∼1 kJ/mol smaller binding energy. Although both monomers are achiral, both the P·4ClE and P·(4ClE)2 complexes are chiral. The best agreement for adiabatic excitation energies and vibrational frequencies is observed for the ωB97X-D and M06-2X DFT methods.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

Under contact metamorphic conditions, carbonate rocks in the direct vicinity of the Adamello pluton reflect a temperature-induced grain coarsening. Despite this large-scale trend, a considerable grain size scatter occurs on the outcrop-scale indicating local influence of second-order effects such as thermal perturbations, fluid flow and second-phase particles. Second-phase particles, whose sizes range from nano- to the micron-scale, induce the most pronounced data scatter resulting in grain sizes too small by up to a factor of 10, compared with theoretical grain growth in a pure system. Such values are restricted to relatively impure samples consisting of up to 10 vol.% micron-scale second-phase particles, or to samples containing a large number of nano-scale particles. The obtained data set suggests that the second phases induce a temperature-controlled reduction on calcite grain growth. The mean calcite grain size can therefore be expressed in the form D 1⁄4 C2 eQ*/RT(dp/fp)m*, where C2 is a constant, Q* is an activation energy, T the temperature and m* the exponent of the ratio dp/fp, i.e. of the average size of the second phases divided by their volume fraction. However, more data are needed to obtain reliable values for C2 and Q*. Besides variations in the average grain size, the presence of second-phase particles generates crystal size distribution (CSD) shapes characterized by lognormal distributions, which differ from the Gaussian-type distributions of the pure samples. In contrast, fluid-enhanced grain growth does not change the shape of the CSDs, but due to enhanced transport properties, the average grain sizes increase by a factor of 2 and the variance of the distribution increases. Stable d18O and d13C isotope ratios in fluid-affected zones only deviate slightly from the host rock values, suggesting low fluid/rock ratios. Grain growth modelling indicates that the fluid-induced grain size variations can develop within several ka. As inferred from a combination of thermal and grain growth modelling, dykes with widths of up to 1 m have only a restricted influence on grain size deviations smaller than a factor of 1.1.To summarize, considerable grain size variations of up to one order of magnitude can locally result from second-order effects. Such effects require special attention when comparing experimentally derived grain growth kinetics with field studies.