Division of Physical and Mathematical Sciences
Recent Submissions
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Observational study of decayless waves across different scales in the solar corona
The long-standing problem of coronal heating focuses on probing sources that can continuously supply energy to sustain million-degree temperatures. Magnetohydrodynamic (MHD) waves play a crucial role because their dissipation ... -
Computation of Induced Eddy Currents in Axially Symmetric Geometries Using the Coupled Inductor Method
The computation of eddy currents is essential in applications including induction heating, magnetic levitation, and non-destructive testing. Usually, the numerical solution of partial differential equations derived from ... -
Study of Optical Coupling of Excitons & Trions in Colloidal Quantum Wells with Photonic Metasurface Resonators & Microcavities
Quantum photonics held immense potential for applications such as quantum metrology and cryptography. In this thesis, we investigated the optical properties of colloidal quantum wells (CQWs) integrated with photonic ... -
Studies of Models of Superfluids from Nanometres to Astrophysical Scales
In this thesis, we study various models of superfluids applicable across a broad range of systems, from laboratory flows to astrophysical scales. At zero temperature, we utilize the Gross-Pitaevskii model of superfluid 4He ... -
Synthesis, characterization and morphology control of colloidal MoS2 quantum dots and their applications
The quantum dots (QDs) are known as artificial atoms due to their size of the order of 2-10 nm. After their discovery in 1980, QDs have attracted significant attention due to their enhanced optical, electronic, and chemical ... -
Explorations of singularities in some hydrodynamical partial differential equations
The global regularity problem for the 3D Euler equations remains unsolved. The presence of finite-time singularities (FTS) can signal the breakdown of the PDE as a physical model for fluid flow; it is also conjectured to ... -
Studies of light-matter interaction in driven circuit quantum electrodynamics (cQED) systems
Quantum information processing leverages the principles of quantum mechanics to process information in ways that classical systems cannot. The principle of superposition and entanglement can allow quantum computers to solve ... -
Novel spin, charge, and lattice dynamics in pyrochlore iridates : Raman and X-ray diffraction studies at low temperatures and high pressure
This thesis investigates phonon dynamics, electronic, and spin excitations along with structural instabilities and phase transitions in rare earth pyrochlore iridates, A2Ir2O7 (A = Pr, Gd, Dy, and Er) and Bi-doped Sm2Ir2O7 ... -
Interfacial engineering to reduce switching current in perpendicularly magnetized Pt/Co/Pt system for memory applications
Tuning the interfacial properties of heavy metal (HM)/ Ferromagnet (FM)/ heavy metal (HM) thin film systems with perpendicular magnetic anisotropy (PMA) has attracted massive attention in the recent past because of their ... -
Lagrangian dispersion statistics of compressible turbulence
Turbulent transport of mass, momentum and energy are ubiquitous across physical processes spanning a vast expanse of scales, from the formation of clouds, the transport of pollutants and nutrients across oceans, and the ... -
The Momentum Construction Method for Higher Extremal Kähler and Conical Higher cscK Metrics
This thesis consists of two parts. In both the parts we study two new notions of canonical K\"ahler metrics on compact K\"ahler manifolds which were introduced by Pingali, viz. `higher extremal K\"ahler metric' and ... -
Non-equilibrium phases, criticality and information scrambling in low-dimensional quantum systems
This thesis contains research works encompassing different areas of quantum condensed matter physics in low dimensions ranging from non-equilibrium phases of matter, quantum criticality in equilibrium systems and quantum ... -
Trackable Edible Pill for Real Time Monitoring of Gastrointestinal Tract
Recent years have witnessed a significant rise in the footprint of electronics in variety of fields like healthcare, energy harvesting, human computer interaction etc., due to the discovery of new materials and better ... -
Dielectric property studies on Poly vinylidene fluoride composites with Graphene Oxide and functionalized Carbon nanotube fillers
Embargo up to November 1, 2025 Graphene Oxide (GO) and functionalized Carbon nanotubes (FCNT) are promising materials in the field of polymer composites due to their ability to disperse nicely in the polymer matrix. The ... -
The monopole-dimer model and eccentricities for Cartesian product of graphs
This thesis comprises two main parts. The details of the two parts are as follows: The first part of the thesis deals with the monopole-dimer model. The dimer (resp. monomer-dimer) model deals with weighted enumeration of ... -
Particles and Fields in Active Turbulence
I have extended various facets of modern turbulence theory to hydrodynamic models of dense bacterial suspensions, which show turbule= nt-like patterns, dubbed active turbulence. By using direct numerical simulations (DNSs) ... -
Interplay of Electrons and Phonons in 2D Materials
Since the seminal study by Cao et al. in 2018, that revealed the emergence of superconductivity and correlated insulating behaviour in twisted bilayer graphene (TBG), there has been a surge of exciting discoveries in moiré ... -
Holomorphic mappings and Kobayashi geometry of domains
In this thesis, we study certain aspects of the geometry of the Kobayashi (pseudo)distance and the Kobayashi (pseudo)metric for domains in $\mathbb{C}^n$. We focus on the following themes: on the interaction between Kobayashi ... -
Invariants Associated with Complete Nevanlinna-Pick Spaces
The broad aim of this thesis is to study certain tuples of bounded operators that satisfy an operator inequality arising from a complete Nevanlinna-Pick kernel. Specifically, we focus on two invariants of these operator ... -
Maps Between Non-compact Surfaces
This thesis focuses on studying proper maps between two non-compact surfaces with a particular emphasis on the topological rigidity and the Hopfian property. Topological rigidity is the property that every homotopy equivalence ...
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