Division of Physical and Mathematical Sciences: Recent submissions
Now showing items 181-200 of 946
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High-K Dielectrics–Studies on (Ta2O5)1-x– (TiO2)x, (0 ≤ x ≤ 0.11), Thin Films
Recently the increasing demand for miniaturized electronic gadgets has raised the interest in searching the high dielectric constant (K) materials for memory elements. Among the investigated high dielectric constant metal ... -
Homogenization of certain PDEs and associated optimal control problems on various rough domains
This thesis is devoted to the study of the asymptotic behavior of partial differential equations (PDEs) and associated boundary and interior optimal control problems in various oscillatory domains. The present thesis ... -
Superconductivity in strongly correlated systems: Heavy fermions, Cuprates, Infinite-layer Nickelates
The phase diagrams of the heavy fermion, transition-metal (copper-, nickel-) oxides materials have a wide variety of different phases. It is believed that, the strong correlation among electrons governs most of the ... -
Finite Element Analysis of Optimal Control Problems Governed by Certain PDEs
The primary goal of this thesis is to study finite element based \textit{a priori} and \textit{a posteriori} error analysis of optimal control problems of various kinds governed by linear elliptic PDEs of second order. ... -
Electrical waves in mathematical models of human-ventricular tissue: effects of different modeling formalisms, electrophysiological factors, and heterogeneities on ventricular arrhythmias and the termination of these arrhythmias via a deep-learning approach
Sudden cardiac death (SCD) remains one of the significant causes of mortality in industrialized and developing countries. SCD is often caused by life-threatening cardiac arrhythmias like ventricular tachycardia and ... -
Compact objects in exotic premise and underlying gravitational waves
Einstein’s theory of general relativity and quantum mechanics were among the most startling discoveries in the 20th century. Based on these theories, the maximum mass of a non-rotating non-magnetized white dwarf is found ... -
Positivity preservers forbidden to operate on diagonal blocks
The question of which functions acting entrywise preserve positive semidefiniteness has a long history, beginning with the Schur product theorem [Crelle 1911], which implies that absolutely monotonic functions (i.e., ... -
Dynamo Action in Rotating and Shearing Flows
Magnetic fields are omnipresent in universe. They play important role in the formation of stars, galaxies and the accretion onto compact objects and the collimation of the relativistic jets of radio galaxies. It is intriguing ... -
On certain invariant measures for correspondences, their analysis, and an application to recurrence
The aim of this dissertation is to analyse a certain class of dynamically interesting mea- sures arising in holomorphic dynamics that goes beyond the classical framework of maps. We study measures associated with semigroups ... -
Hermitian Metrics and Singular Riemann Surface Foliations
The main aim of this thesis is to understand curvature properties of a given hermitian metric by restricting it to the leaves of a suitable singular Riemann surface foliation. We will specifically consider the complete ... -
Nodal sets of random functions
This thesis is devoted to the study of nodal sets of random functions. The random functions and the specific aspect of their nodalset that we study fall into two broad categories: nodal component count of Gaussian Laplace ... -
Asymptotic Analysis of Multi-scale, Multi-loop Feynman Diagrams
It is very challenging to solve multi-scale, multi-loop Feynman diagrams analytically. The presence of different kinematic scales makes the computation of Feynman diagrams very difficult, sometimes impossible to get the ... -
Multiscale Simulation of Nucleic Acid Nanostructures
Nucleic acids, namely DNA and RNA, are arguably the most studied biological molecules. Utilizing the key properties of nucleic acids, such as their persistence lengths and Watson-Crick base-pairing complementarity, ... -
Role of gamma oscillations in processing of natural stimuli
Gamma oscillations (~30-80 Hz) are a prominent signature of electrophysiological signals recorded from the brain with proposed roles in various cognitive functions such as attention and visual perception. Although gamma ... -
On the Geometry and Operator Theory of the Bidisc and the Symmetrized Bidisc
This work is concerned with the geometric and operator theoretic aspects of the bidisc and the symmetrized bidisc. First we have focused on the geometry of these two do- mains. The symmetrized bidisc, a non-homogeneous ... -
On the electrical transport of weak topological insulators and Weyl semimetals
Topological insulators have garnered enormous amount of attention owing to their unique topological properties. The surface states protected by the topology of the system hold limitless potentials including topological ... -
Tuning of electrical and magnetic properties in nanocomposites of conductive LaNiO3 and transition metal oxides
The discovery of new composites by integrating materials of different physical properties with optimal control is of immense interest to researchers at present. Today, there are several composites being used for several ... -
The role of quantum fluctuations in the t-J model: Implications for cuprate superconductors
The physics of strongly correlated electron systems is among the central problems of condensed matter physics. One of the outstanding problems in this category is that of the high-Tc superconductivity obtained by doping ... -
Observational Constraints on Global 21-cm Signal from the Epoch of Reionization
One of the most promising probes of Cosmic Dawn (CD) and Epoch of Reionization (EoR) is the rest-frame global 21-cm signal of neutral hydrogen (HI) produced by the intergalactic medium (IGM) prior to the end of the EoR ... -
Quantum transport in Graphene Moire Superlattice and p-n junction
The discovery of graphene has revolutionized the field of mesoscopic condensed matter physics. It has started a new field of van-der Waals heterostructure in which different two-dimensional materials including graphene can ...