14 papers
Dissipative Vortex Binaries in Compact Fluid Domains with Geometric Corrections
Aswathy K. R., Rickmoy Samanta
We study a dissipative extension of vortex-binary motion in a doubly periodic fluid domain. The underlying conservative system admits an exact integrable reduction to a single comp…
Post-Newtonian Dynamics of Radiating Charges: Canonical Formulation and Binary Inspiral Laws
Suhani Verma, Siddarth Mediratta, Nanditha Kilari +18
We revisit an explicit electromagnetic analogue of the Post Newtonian Hamiltonian framework widely used in gravitational wave physics. Starting from the Lorentz Dirac equation, we…
Hamiltonian Active Particles in Incompressible Fluid Membranes
Sneha Krishnan, Rickmoy Samanta
Active proteins and membrane-bound motors exert force dipole flows along fluid interfaces and lipid bilayers. We develop a Hamiltonian framework for the interactions of pusher and…
Quenched Dipole Pairs in Viscous Fluid Membranes across the Saffman Crossover: Integrable Hamiltonian Dynamics
Satyagni Bhattacharya, Debdatta Dey, Samyak Jain +7
We investigate an analytic theory of force-dipole hydrodynamics in a viscous membrane coupled to an infinite surrounding fluid, focusing on quenched (orientation-fixed) dipoles. Wh…
Collective Dynamics of Vortex Clusters in Compact Fluid Domains: From Pair Interactions to a Quadrupole Description
Aswathy KR, Rickmoy Samanta
Clusters of co-rotating vortices on compact fluid domains exhibit a simple collective dynamics, combining coherent global rotation with a slow breathing of the cluster size. In thi…
A Self Propelled Vortex Dipole Model on Surfaces of Variable Negative Curvature
Khushi Banthia, Rickmoy Samanta
We investigate vortex dipoles on surfaces of variable negative curvature, focusing on a catenoid of arbitrary throat radius as a concrete example. We construct the effective dynami…