Division of Physical and Mathematical Sciences: Recent submissions
Now showing items 561-580 of 960
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Ultra Cold Fermions : Dimensional Crossovers, Synthetic Gauge Fields and Synthetic Dimensions
(2018-02-06)Ultracold atomic systems have provided an ideal platform to study the physics of strongly interacting many body systems in an unprecedentedly controlled and clean environment. And, since fermions are the building blocks ... -
Lessons for Conformal Field Theories from Bootstrap and Holography
(2018-02-06)The work done in this thesis includes an exploration of both the conformal field theory techniques and holographic techniques of the Gauge/Gravity duality. From the field theory, we have analyzed the analytical aspects of ... -
Fabrication and Optimization of Yttria Stabilized Zirconia Thinfilms towards the Development of Electrochemical Gas Sensor
(2018-02-06)Yttria stabilized Zirconia (8YSZ) is an extensively used solid electrolyte, which finds applications in electrochemical sensors, solid oxide fuel cells and gate oxide in MOSFETs. Recent studies report that YSZ thin films ... -
Mechanising knot Theory
(2018-01-31)Mechanisation of Mathematics refers to use of computers to generate or check proofs in Mathematics. It involves translation of relevant mathematical theories from one system of logic to another, to render these theories ... -
Shortest Length Geodesics on Closed Hyperbolic Surfaces
(2018-01-31)Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on the surface, in fact a so called fat graph, which we call the systolic graph. The central question that we study in this ... -
Impact of Disorder, Magnetism and Proximity-Induced Superconductivity on Conductance Fluctuations in Graphene
(2018-01-31)The experimental discovery of graphene in 2004 has opened up a new research field in the direction of atomically thin two-dimensional layered materials for exploration of many fundamental research problems and technological ... -
A Stochastic Search Approach to Inverse Problems
(2018-01-30)The focus of the thesis is on the development of a few stochastic search schemes for inverse problems and their applications in medical imaging. After the introduction in Chapter 1 that motivates and puts in perspective ... -
Design, Development and Validation of Fiber Bragg Grating Sensor Based Devices for Detecting Certain Healthcare Parameters
(2018-01-30)Several sensor technologies have been developed and experimented over the last few decades to cater various needs of medical diagnostics. Among these, fiber optic sensors, in particular, Fiber Bragg Grating (FBG) based ... -
Shift-like Automorphisms of Ck
(2018-01-03)We use transcendental shift-like automorphisms of Ck, k > 2 to construct two examples of non-degenerate entire mappings with prescribed ranges. The first example exhibits an entire mapping of Ck, k>2 whose range avoids a ... -
Mixed Norm Estimates in Dunkl Setting and Chaotic Behaviour of Heat Semigroups
(2018-01-03)This thesis is divided into three parts. In the first part we study mixed norm estimates for Riesz transforms associated with various differential operators. First we prove the mixed norm estimates for the Riesz transforms ... -
Multi-Nuclear and Multiple-Quantum NMR in the Solid-State : Methods and Applications
(2018-01-03)NMR spectroscopy is a very powerful technique for the characterization of structure and dynamics of a variety of systems starting from small organic molecules to large biological macromolecules. In solids, the study of ... -
Study of Thermoelectric Properties of Lead Telluride Based Alloys and Two-Phase Compounds
(2018-01-03)The growing need of energy worldwide has lead to an increasing demand for alternative sources of power generation. Thermoelectric materials are one of the ‘green energy sources’ which convert directly heat into electricity, ... -
Electrical Transport in the Hybrid Structures of 2D Van Der Waals Materials and Perovskite Oxide
(2018-01-01)Perovskite oxides have provided a wide variety of exotic functionalities based on their unique physical and chemical properties. By combining different perovskite oxides, interesting physical phenomena have been observed ... -
Analytic and Entire Vectors for Representations of Lie Groups
(2018-01-01)We start with the recollection of basic results about differential manifolds and Lie groups. We also recall some preliminary terminologies in Lie algebra. Then we define the Lie algebra corresponding to a Lie group. In the ... -
Phoretic Motion of Colloids : Single Particle and Collective Behaviour
(2017-12-16)In this thesis we have studied systems that driven by mechanisms broadly known as phoresis. More specifically, in the second chapter we calculate the excess noise in electrophoresis of a colloid due to microion fluctuations. ... -
Particles and Fields in Superfluid Turbulence : Numerical and Theoretical Studies
(2017-12-16)In this thesis we study a variety of problems in superfluid turbulence, princi-pally in two dimensions. A summary of the main results of our studies is given below; we indicate the Chapters in which we present these. In ... -
Thermoelectric Propeties of Cu Based Chalcogenide Compounds
(2017-12-12)Thermoelectric (TE) materials directly convert heat energy into electrical energy. The conversion efficiency of the TE devices depends on the performance of the materials. The conversion efficiency of available thermoelectric ... -
Crawling, Waving, Spinning : Activity Matters
(2017-12-12)This thesis has been concerned with a few problems in systems driven at the scale of particles. The problems dealt with here can be extended and elaborated upon in a variety of ways. In 2 we examine the dynamics of a fluid ... -
Some Studies of Statistical Properties of Turbulence in Plasmas and Fluids
(2017-12-12)Turbulence is ubiquitous in the flows of fluids and plasmas. This thesis is devoted to studies of the statistical properties of turbulence in the three-dimensional (3D) Hall magnetohydrodynamic (Hall-MHD) equations, the ...