Fermi Edge Resonances in Non-equilibrium States of Fermi Gases

We formulate the problem of the Fermi Edge Singularity in non-equilibrium states of a Fermi gas as a matrix Riemann-Hilbert problem with an integrable kernel. This formulation is the most suitable for studying the singular behavior at each edge of non-equilibrium Fermi states by means of the method of steepest descent, and also reveals the integrable structure of the problem. We supplement this result by extending the familiar approach to the problem of the Fermi Edge Singularity via the bosonic representation of the electronic operators to non-equilibrium settings. It provides a compact way to extract the leading asymptotes.Comment: Accepted for publication, J. Phys.

GTI-space : the space of generalized topological indices

A new extension of the generalized topological indices (GTI) approach is carried out torepresent 'simple' and 'composite' topological indices (TIs) in an unified way. Thisapproach defines a GTI-space from which both simple and composite TIs represent particular subspaces. Accordingly, simple TIs such as Wiener, Balaban, Zagreb, Harary and Randićconnectivity indices are expressed by means of the same GTI representation introduced for composite TIs such as hyper-Wiener, molecular topological index (MTI), Gutman index andreverse MTI. Using GTI-space approach we easily identify mathematical relations between some composite and simple indices, such as the relationship between hyper-Wiener and Wiener index and the relation between MTI and first Zagreb index. The relation of the GTI space with the sub-structural cluster expansion of property/activity is also analysed and some routes for the applications of this approach to QSPR/QSAR are also given

Transient deprotonation of bacterial halorhodopsin by photoexcited base

AbstractThe excited singlet state of 6-methoxyquinoline is basic enough to abstract a proton from water and generate OH−. Pulse excitation of such a solution undergoes a massive transient alkalinization. This procedure was employed to monitor the deprotonation of the Schiff base of halorhodopsin. Both the deprotonation and reprotonation of the chromophore are diffusion controlled reactions

Regional inclusive development: An assessment of Russian regions

The concept of inclusive development is gaining momentum in both the academic and policy-making arenas. There are a plethora of definitions and several indicators with which to monitor its progress at the national level. However, the regional level has been relatively overlooked in the analyses carried out by academics. This is particularly serious for large countries marked by deep regional disparities. The aim of this paper is to address this gap by proposing and applying a framework to assess inclusive development at the regional level. Drawing on a critical analysis of the concept and existing indexes, the paper proposes an index of Regional Inclusive Development and applies it to the regions of the Russian Federation. Moreover, it compares the suggested index with established indicators of regional socio-economic development, namely quality of life and gross product. The results support the idea that at the regional level, there is a significant correlation and interdependence between all dimensions of the sustainable development concept—environment, the economy, and society—and that inclusiveness should not be ignored or undervalued in the analysis of development processes. Furthermore, the results show significant differences in the positioning of the regions in terms of the inclusive development rankings as compared to their positions in the quality of life and gross product rankings. The results also reveal small interregional differences among Russian regions, which are unexpected given the size of the country.info:eu-repo/semantics/publishedVersio

Suppression of geometrical barrier in Bi2Sr2CaCu2O8+δBi_2Sr_2CaCu_2O_{8+\delta} crystals by Josephson vortex stacks

Differential magneto-optics are used to study the effect of dc in-plane magnetic field on hysteretic behavior due to geometrical barriers in $Bi_2Sr_2CaCu_2O_{8+\delta}$ crystals. In absence of in-plane field a vortex dome is visualized in the sample center surrounded by barrier-dominated flux-free regions. With in-plane field, stacks of Josephson vortices form vortex chains which are surprisingly found to protrude out of the dome into the vortex-free regions. The chains are imaged to extend up to the sample edges, thus providing easy channels for vortex entry and for drain of the dome through geometrical barrier, suppressing the magnetic hysteresis. Reduction of the vortex energy due to crossing with Josephson vortices is evaluated to be about two orders of magnitude too small to account for the formation of the protruding chains. We present a model and numerical calculations that qualitatively describe the observed phenomena by taking into account the demagnetization effects in which flux expulsion from the pristine regions results in vortex focusing and in the chain protrusion. Comparative measurements on a sample with narrow etched grooves provide further support to the proposed model.Comment: 12 figures (low res.) Higher resolution figures are available at the Phys Rev B version. Typos correcte