12 citations · 42 across the 11 of their papers we have counts for
11 papers
Fractal Scaling of Moffatt Vortices in Triangular Cavity Flow
Rathindra Nath Basak, Sougata Biswas, Jiten C. Kalita
This study examines the formation, quantification, and fractal characterization of corner vortices in slow viscous incompressible flow within a triangular cavity. The governing Nav…
Topological properties of a class of generalized Su-Schrieffer-Heeger networks: chains and meshes
Sougata Biswas, Arunava Chakrabarti
We analyze the topological properties of a family of generalized Su-Schrieffer-Heeger (SSH) chains and mesh geometries. In both the geometries the usual staggering in the distribut…
Engineering complete delocalization of single particle states in a class of one dimensional aperiodic lattices: a quantum dynamical study
Sougata Biswas, Arunava Chakrabarti
We study quantum dynamics of a wave packet on a class of one dimensional decorated aperiodic lattices, described within a tight binding formalism. We look for the possibility of fi…
Complete escape from localization on a hierarchical lattice: A Koch fractal with all states extended
Sougata Biswas, Arunava Chakrabarti
An infinitely large Koch fractal is shown to be capable of sustaining only extended, Bloch-like eigenstates, if certain parameters of the Hamiltonian describing the lattice are num…
Flat bands and topological phase transition in entangled Su-Schrieffer-Heeger chains
Sauvik Chatterjee, Sougata Biswas, and Arunava Chakrabarti
Flat, non-dispersive bands and topological phase transition in multiple Su-Schrieffer-Heeger (SSH) chains, cross-linked via periodically arranged nodal points are explored within a…
Designer quantum states on a fractal substrate: compact localization, flat bands and the edge modes
Sougata Biswas, Arunava Chakrabarti
Compact localized single particle eigenstates on a deterministic fractal substrate, modelled by a triangular Sierpinski gasket of arbitrarily large size, are unravelled and examine…
Flat bands, edge states and possible topological phases in a branching fractal
Sougata Biswas, Amrita Mukherjee, Arunava Chakrabarti
We address the problem of analytically extracting a countable infinity of flat, non-dispersive bands in a periodic array of cells that comprise branching Vicsek geometries of highe…
HOC simulation of Moffatt eddies and its flow topology in the triangular cavity flow
Sougata Biswas, Jiten C. Kalita
In this work, we present HOC simulation of vortices in the triangular cavity for slow viscous incompressible flows by using a recently proposed new paradigm approach for solving Na…
The Finiteness of vortices in steady incompressible viscous fluid flow
Jiten C. Kalita, Sougata Biswas, Swapnendu Panda
In this work, we provide two novel approaches to show that incompressible fluid flow in a finite domain contains at most a finite number vortices. We use a recently developed geome…
Moffatt vortices: Concerns and Finiteness
Jiten C. Kalita, Sougata Biswas, Swapnendu Panda
Till date, the sequence of vortices present in the solid corners of steady internal viscous incompressible flows, widely known as Moffatt vortices was thought to be infinite. Howev…
Moffatt vortices in the lid-driven cavity flow
Sougata Biswas, Jiten C. Kalita
In incompressible viscous flows in a confined domain, vortices are known to form at the corners and in the vicinity of separation points. The existence of a sequence of vortices (k…