Division of Physical and Mathematical Sciences
Recent Submissions
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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 ... -
Complex magnetism and structural phase transition in correlated oxide systems
Perovskite and pyrochlore materials constitute a profoundly intriguing and extensively studied family owing to their diverse magnetic and structural properties. we thoroughly explored the structure and magnetism of the ... -
Investigation into flux-coupled electromechanical devices
Cavity optomechanical systems involve modulation of the resonance frequency of an optical cavity by the motion of a mechanical resonator. These systems are used to control and manipulate mechanical motion down to the quantum ... -
On two complex Hessian equations and convergence of corresponding flows
This thesis consists of three parts. Two important complex Hessian equations are studied on certain compact K\"ahler manifolds from different perspectives. The first one is the {\em J-equation} introduced independently by ... -
On existence and regularity of some complex Hessian equations on Kahler and transverse Kahler manifolds
The thesis consists of two parts. In the first part of the thesis, we classify the convergence behaviour of rotationally symmetric solutions to the modified J-flow on the blow-up of the complex projective space at a ... -
On regular subalgebras of symmetrizable Kac-Moody algebras and related combinatorics
In this thesis, we study two aspects of Kac-Moody algebras. One is to understand the subalgebras that can be embedded inside a Kac-Moody algebra as subalgebras generated by real root vectors. The other one is to explicitly ... -
Military applications of Fiber Bragg Gratings
Fiber Bragg gratings (FBGs) are widely used in sensing technologies due to their compact size, distributed sensing capability, immunity to electromagnetic interference, and ability to measure various physical parameters. ... -
Existence and implications of positively curved metrics on holomorphic vector bundles
This thesis is divided into two parts. In the first part, we study interpolating and uniformly flat hypersurfaces in complex Euclidean space. The study of interpolation and sampling in the Bargmann-Fock spaces on the complex ... -
Realization of Type-II Dirac Semi-metal in NiTe2 using Structural, Electrical and Magnetic Investigation
Dirac semimetal (DSM) is a topological semi-metal with a fourfold degenerate linear band crossing in the bulk, in the presence of time-reversal symmetry and inversion symme- try, exhibiting nontrivial spin-momentum locking ... -
Nanoscale spatial and temporal response of lipid membranes interacting with biomolecules and nanoparticles
The cell membrane is the first point of interaction whenever any external biomolecule or nanoparticle encounters a cell. Thus the nature of interactions between the cell membrane and various proteins, nanoparticles, and ...
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