The Optimal Faucet

Chen, H. Henry; Brenner, Michael P.

doi:10.1103/physrevlett.92.166106

Cited by 81 publications

(118 citation statements)

References 6 publications

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“…Stable solitary pulses trapped in lattices in dissipative media were also predicted [7]. Experiments demonstrate that lattices in PR crystals indeed give rise to localized quasi-discrete dynamical patterns, such as fundamental spatial solitons [8], vortices [9], and soliton trains [10].…”

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confidence: 99%

Stable Spatiotemporal Solitons in Bessel Optical Lattices

et al. 2005

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We investigate the existence and stability of three-dimensional (3D) solitons supported by cylindrical Bessel lattices (BLs) in self-focusing media. If the lattice strength exceeds a threshold value, we show numerically, and using the variational approximation, that the solitons are stable within one or two intervals of values of their norm. In the latter case, the Hamiltonian-vs.-norm diagram has a "swallowtail" shape, with three cuspidal points. The model applies to Bose-Einstein condensates (BECs) and to optical media with saturable nonlinearity, suggesting new ways of making stable 3D BEC solitons and "light bullets" of an arbitrary size.

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confidence: 99%

Stable Spatiotemporal Solitons in Bessel Optical Lattices

et al. 2005

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“…[20], a hydrodynamic theory for the non-equilibrium fluctuations of the membrane induced by the activity of the pumps was also developed. This work has stimulated substantial theoretical interest in the general problem of a proper description of non-equilibrium effects associated with protein conformational changes [21,22,23,24,25].…”

Section: Introductionmentioning

confidence: 99%

Electrostatic and electrokinetic contributions to the elastic moduli of a driven membrane

et al. 2009

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Abstract. We discuss the electrostatic contribution to the elastic moduli of a cell or artificial membrane placed in an electrolyte and driven by a DC electric field. The field drives ion currents across the membrane, through specific channels, pumps or natural pores. In steady state, charges accumulate in the Debye layers close to the membrane, modifying the membrane elastic moduli. We first study a model of a membrane of zero thickness, later generalizing this treatment to allow for a finite thickness and finite dielectric constant. Our results clarify and extend the results presented in [D. Lacoste, M. Cosentino Lagomarsino, and J. F. Joanny, Europhys. Lett., 77, 18006 (2007)], by providing a physical explanation for a destabilizing term proportional to k 3 ⊥ in the fluctuation spectrum, which we relate to a nonlinear (E 2 ) electro-kinetic effect called induced-charge electro-osmosis (ICEO). Recent studies of ICEO have focused on electrodes and polarizable particles, where an applied bulk field is perturbed by capacitive charging of the double layer and drives flow along the field axis toward surface protrusions; in contrast, we predict "reverse" ICEO flows around driven membranes, due to curvature-induced tangential fields within a non-equilibrium double layer, which hydrodynamically enhance protrusions. We also consider the effect of incorporating the dynamics of a spatially dependent concentration field for the ion channels.

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“…This is motivated by the enormous potential for applications ranging from highly tunable telecommunications elements to cavity QED experiments. Among many phenomena explored are nonlinear effects associated with propagation, localization, and discretization of light in optically-induced photonic lattices [9], including the formation of lattice solitons in one [10,11] and two dimensions [12,13,14], and discrete vortex solitons [15,16].…”

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confidence: 99%

Spontaneous symmetry breaking in photonic lattices: Theory and experiment

et al. 2005

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We examine an example of spontaneous symmetry breaking in a double-well waveguide with a symmetric potential. The ground state of the system beyond a critical power becomes asymmetric. The effect is illustrated numerically, and quantitatively analyzed via a Galerkin truncation that clearly shows the bifurcation from a symmetric to an asymmetric steady state. This phenomenon is also demonstrated experimentally when a probe beam is launched appropriately into an optically induced photonic lattice in a photorefractive material.

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The Optimal Faucet

Cited by 81 publications

References 6 publications

Stable Spatiotemporal Solitons in Bessel Optical Lattices

Stable Spatiotemporal Solitons in Bessel Optical Lattices

Electrostatic and electrokinetic contributions to the elastic moduli of a driven membrane

Spontaneous symmetry breaking in photonic lattices: Theory and experiment

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