245 citations · 667 across the 24 of their papers we have counts for
4 papers · 1 filter
Nonlocal orientation-dependent dynamics of molecular strands
Darryl D. Holm, Vakhtang Putkaradze
Time-dependent Hamiltonian dynamics is derived for a curve (molecular strand) in that experiences both nonlocal (for example, electrostatic) and elastic interactions…
Kinetic models of heterogeneous dissipation
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci
We suggest kinetic models of dissipation for an ensemble of interacting oriented particles, for example, moving magnetized particles. This is achieved by introducing a double brack…
Emergent singular solutions of non-local density-magnetization equations in one dimension
Darryl D. Holm, Lennon O. Naraigh, Cesare Tronci
We investigate the emergence of singular solutions in a non-local model for a magnetic system. We study a modified Gilbert-type equation for the magnetization vector and find that…
Geometric gradient-flow dynamics with singular solutions
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci
The gradient-flow dynamics of an arbitrary geometric quantity is derived using a generalization of Darcy's Law. We consider flows in both Lagrangian and Eulerian formulations. The…