Displacement Transformations as a Tool to Study Many-Body Localization

We obtain eigenstates of interacting disorder Hamiltonians using unitary displacement transformations that rotate the state of the system. The method generates excited states if the strength of these transformations is chosen to optimize the energy, while decreasing the energy variance. We apply the method to analyse the localization properties of one-dimensional spinless fermions with short range interactions, reaching relatively large system sizes. We quantify the degree of localization through the size and disorder dependence of the inverse participation ratio.

Comparative Study of Seismic Acceleration Amplification Models for RC Frame Structures

As the current aspect, the nonstructural components (NSCs) linked with the structures are more affected during the seismic motion. It causes not only loss of the economy but also affected life. The various codal provision has been available for minimizing the damages of primary components, but for NSCs, a minimal requirement is functional. So that more investigation is required for understating the behavior of NSCs during the seismic motion. The research aims to understand the behavior of acceleration demand on NSCs in a building. Structures subjected to inertia forces due to earthquakes experience damage of nonstructural components (NSC). The inertia force acting the NSCs are related to acceleration amplification factor. For obtaining the peak horizontal floor acceleration with respect to tectonic ground motion, these factors are used. In this paper, mathematical models of the acceleration amplification factor defined as the peak floor acceleration with respect to peak ground acceleration, given by previous researchers, has been compared. For this 2,4,6,8 and 10 storey moment-resisting frame models considering 29 ground motion data ranging between 0.1g to 0.2g, is analyzed using linear time history method. The supports of the models are considered fixed. The ETABS software is used for the analysis of the models. To analyses the models, the modal mass participation ratio plays a significant role. ASCE 7-05 defines that the structure should be investigated and designed when the model mass participation ratio is equal to or more than 90 per cent. Based on the results, a comparison of the reported models is made. There is a strong need for further research to refine the models for the realistic prediction of acceleration amplification factor.

Indicators of wavefunction (de)localisation for avoided crossing in a quadrupole quantum billiard

The relationship between wavefunction (de)localisation and avoided crossing in a quadrupole billiard is analysed. The following three-types of measures are employed for wavefunction (de)localisation: inverse participation ratio, inverse of Rényi entropy, and root-mean-square (RMS) image contrast. All these measures exhibit minimal values at the centre of the avoided crossing, where the wavefunction is maximally delocalised. Our results indicate that these quantities can be sufficient for the indication of wavefunction (de)localisation.

Geopolitical Inhomogeneities in the Registered Voters’ Distribution and Their Influence in the Voters’ Participation Ratio Distribution: The Mexican Case

Stylized facts appear in electoral processes worldwide, from Brazil to India. Here, we update a statistics carried on in Mexican elections but considering the inhomogeneities in electoral districts through the Nominal List (NL) (the list of valid electors in a given decision process) for the last three presidential elections. We find that the NL distribution at polling station detail is composed of, at least, three windows with a step function structure. Next, we study the consequences of the windows structure for the statistical properties of the processes. We obtain that the asymmetric vote distribution by polling station recovers a Gaussian shape for two of the windows; meanwhile, the standardized distribution of votes follows a distorted Gaussian, near to a skew normal. The distribution of the turnout at each polling station or voters’ participation ratio is close to a skew normal one in the bulk and failing at the wings. The average of voters increases in a linear way with the Nominal List and depends on the window considered. The results do not depend on the municipality, political district or urban versus nonurban distinction, and the electoral process considered.

The temporal fluctuation of the inverse participation ratio for localized field modes in three-dimensional percolation system

We investigate the structure of the optical field radiated by the disordered optical nano-emitters randomly incorporated in three-dimensional cluster of a percolation material. Our numerical studies shown that the temporal variations of the inverse participation ratio (IPR) allow analyzing the extended and localized field structures over a long time range. The properties of IPR and the dynamics of the lasing emitters allow to find the characteristic time scales when the localization of the field in a general three-dimensional disordered system occurs. The studied effect opens new perspectives to control the optical fields localization in modern optical nano-technologies.

Role of MSME's In Economic Growth Of India

In this paper, secondary data of MSME’s annual report is used to analysis the different aspects of MSME’s and its role in the Indian economy. We can see the huge growth in number of MSME’s in 2005-06 due to MSME’s act 2006 implemented, which increases the coverage of number of enterprises by properly defining the criteria of MSME’s. MSME’s also contributed very highly in total export of the country. Data suggested that most of the enterprises registered under MSME’s act are fall under the micro and small category and very few enterprise are under medium category within it. Male female participation ratio is also analyzed state wise in this paper some northeastern states like Manipur, Meghalaya, Mizoram, Nagaland are doing very good in male female participation ratio.