Dynamics of nonlinear excitations of helically confined charges

Zampetaki, A. V.; Stockhofe, J.; Schmelcher, Peter

doi:10.1103/physreve.92.042905

Cited by 19 publications

(22 citation statements)

References 42 publications

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“…In the presence of an external force field perpendicular to the helix axis, superlattice properties arise [32,33] as well as a wealth of bifurcation phenomena [34]. If the helix is not homogeneous the interactions additionally couple the centerof-mass (CM) to the relative coordinates [35], which for the specific case of a torus-like closed helix (as studied in the present work) has been found to induce structural phase transitions, deformations of the Wigner crystals' vibrational spectra and highly nonlinear dynamics, all controlled by the geometry [36,37].…”

Section: Introductionmentioning

confidence: 75%

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Pinned-to-sliding transition and structural crossovers for helically confined charges

2017

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We explore the nonequilibrium dissipative dynamics of a system of identical charged particles trapped on a closed helix. The particles are subject to an external force accelerating them along the underlying structure. The effective interactions between the charges induce a coupling of the center of mass to the relative motion which in turn gives rise to a pinned-to-sliding transition with increasing magnitude of the external force. In the sliding regime we observe an Ohmic behavior signified by a constant mobility. Within the same regime a structural transition of the helical particle chain takes place with increasing the helix radius leading to a global change of the crystalline arrangement. The resulting crystal is characterized by the existence of multiple defects whose number increases with the helix radius.

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Section: Introductionmentioning

confidence: 75%

“…Similarly to our previous works [36,37], we address a system of N identical charges of mass m 0 interacting via repulsive Coulomb interactions and confined to move on a 1D toroidal helix, parametrized as…”

Section: Setup and Potential Landscapementioning

confidence: 99%

Pinned-to-sliding transition and structural crossovers for helically confined charges

2017

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“…As shown in Fig. 1 the bent helical segment (b) can be perceived as a finite segment of a toroidal helix [26][27][28] with a large major radius of curvature R. Such a segment is parametrized as…”

Section: Analytical Estimations Of the Bending Responsementioning

confidence: 99%

“…The helical confining manifold essential for the emergence of such features can have different shapes. An infinite homogeneous [22][23][24] or inhomogeneous helix [25] as well as a closed helix [26][27][28] have all been used as prerequisites in order to highlight different aspects of the helical confinement. The question, however, of what is the energetically preferable conformation of the helical filament given the Coulomb interactions between the charges confined on it still remains open.…”

Section: Introductionmentioning

confidence: 99%

Electrostatic bending response of a charged helix

2018

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We explore the electrostatic bending response of a chain of charged particles confined on a finite helical filament. We analyze how the energy difference ΔE between the bent and the unbent helical chain scales with the length of the helical segment and the radius of curvature and identify features that are not captured by the standard notion of the bending rigidity, normally used as a measure of bending tendency in the linear response regime. Using ΔE to characterize the bending response of the helical chain we identify two regimes with qualitatively different bending behaviors for the ground state configuration: the regime of small and the regime of large radius-to-pitch ratio, respectively. Within the former regime, ΔE changes smoothly with the variation of the system parameters. Of particular interest are its oscillations with the number of charged particles encountered for commensurate fillings which yield length-dependent oscillations in the preferred bending direction of the helical chain. We show that the origin of these oscillations is the nonuniformity of the charge distribution caused by the long-range character of the Coulomb interactions and the finite length of the helix. In the second regime of large values of the radius-to-pitch ratio, sudden changes in the ground state structure of the charges occur as the system parameters vary, leading to complex and discontinuous variations in the ground state bending response ΔE.

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“…Meanwhile, less complex inorganic systems such as carbon nanotubes are shaped nowadays in different forms, including a helix [15][16][17]. Given a pre-established helical confinement, identical long-range interacting particles such as dipoles and charges can display a plethora of different intriguing phenomena [18][19][20][21][22][23][24]. Even on the level of classical mechanics a helical constraint restricts the motion of the particles inducing an oscillatory effective two-body potential for repulsively interacting electric charges [20,21].…”

Section: Introductionmentioning

confidence: 99%

Local equilibria and state transfer of charged classical particles on a helix in an electric field

Plettenberg¹,

Stockhofe²,

Zampetaki³

et al. 2017

Phys. Rev. E

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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 field-free setup which provides a separation of the center-of-mass and relative motion, the existence of an external force perpendicular to the helix axis couples the center-of-mass to the relative degree of freedom leading to equilibria with a localized center of mass. By tuning the external field various fixed points are created and/or annihilated through different bifurcation scenarios. We provide a detailed analysis of these bifurcations based on which we demonstrate a robust state transfer between essentially arbitrary equilibrium configurations of the two charges that can be induced by making the external force time-dependent.

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Dynamics of nonlinear excitations of helically confined charges

Cited by 19 publications

References 42 publications

Pinned-to-sliding transition and structural crossovers for helically confined charges

Pinned-to-sliding transition and structural crossovers for helically confined charges

Electrostatic bending response of a charged helix

Local equilibria and state transfer of charged classical particles on a helix in an electric field

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