Existence and limiting behavior of minimizers for attractive Schrödinger‐Poisson systems with periodic potentials
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6232
Abstract: We study the constrained minimizing problem of the energy functional related to attractive Schrödinger‐Poisson systems with periodic potentials: I(m)=infE(ϕ):ϕ∈H1(R3),‖ϕ‖L22=m, where E(ϕ):=12∫R3|∇ϕ(x)|2dx+12∫R3V(x)|ϕ(x)|2dx−14∬R3×R3|ϕ(x)|2|ϕ(y)|2|x−y|dxdy−1α+2∫R3|ϕ(x)|α+2dx, with m>0 , α>0 , and V is a continuous periodic potential. We first… read more here.
Keywords: poisson systems; dinger poisson; attractive schr; systems periodic ... See more keywords
Stability band structure for periodic states in periodic potentials
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.05.007
Abstract: A class of periodic solutions of the nonlinear Schrodinger equation with non- Hermitian potentials are considered. The system may be implemented in planar nonlinear optical waveguides carrying an appropriate distribution of local gain and loss,… read more here.
Keywords: states periodic; periodic potentials; periodic states; stability ... See more keywords
Chaotic one-dimensional domains induced by periodic potentials in normal-dispersion fiber lasers.
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DOI: 10.1063/1.5006919
Abstract: We investigate numerically the effects of external time-periodic potentials on time-localized perturbations to the amplitude of electromagnetic waves propagating in normal-dispersion fiber lasers which are described by the complex Ginzburg-Landau equation. Two main effects were… read more here.
Keywords: normal dispersion; fiber lasers; periodic potentials; dispersion fiber ... See more keywords
Brownian particles in periodic potentials: Coarse-graining versus fine structure.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.107.024122
Abstract: We study the motion of an overdamped particle connected to a thermal heat bath in the presence of an external periodic potential in one dimension. When we coarse-grain, i.e., bin the particle positions using bin… read more here.
Keywords: periodic potentials; structure; particles periodic; fine structure ... See more keywords