62 citations · 409 across the 20 of their papers we have counts for
20 papers
Electrostatic bending response of a charged helix
A. V. Zampetaki, J. Stockhofe, P. Schmelcher
We explore the electrostatic bending response of a chain of charged particles confined on a finite helical filament. We analyze how the energy difference between the bent and…
Dark-bright soliton interactions beyond the integrable limit
G. C. Katsimiga, J. Stockhofe, P. G. Kevrekidis +1
In this work we present a systematic theoretical analysis regarding dark-bright solitons and their interactions, motivated by recent advances in atomic two-component repulsively in…
Pinned-to-sliding transition and structural crossovers for helically confined charges
A. V. Zampetaki, J. Stockhofe, P. Schmelcher
We explore the non-equilibrium dissipative dynamics of a system of identical charged particles trapped on a closed helix. The particles are subject to an external force acceleratin…
Local equilibria and state transfer of charged classical particles on a helix in an electric field
J. Plettenberg, J. Stockhofe, A. V. Zampetaki +1
We explore the effects of a homogeneous external electric field on the static properties and dynamical behavior of two charged particles confined to a helix. In contrast to the fie…
Modulational instability and localized breather modes in the discrete nonlinear Schrödinger equation with helicoidal hopping
J. Stockhofe, P. Schmelcher
We study a one-dimensional discrete nonlinear Schrödinger model with hopping to the first and a selected N-th neighbor, motivated by a helicoidal arrangement of lattice sites. We p…
Dynamics of nonlinear excitations of helically confined charges
A. V. Zampetaki, J. Stockhofe, P. Schmelcher
We explore the long-time dynamics of a system of identical charged particles trapped on a closed helix. This system has recently been found to exhibit an unconventional deformation…