The interaction of solitons with bond defects in discrete nonlinear Schrödinger (NLS) chains is investigated. A perturbed NLS equation is derived on the basis of a microscopic model. Localized soliton-defect solutions are obtained and their stability is analyzed. Scattering of propagating solitons from bond defects is studied numerically and a variety of scattering patterns is obtained. A phase diagram is constructed showing the corresponding parametric regions.
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http://dx.doi.org/10.1103/PhysRevE.77.066604 | DOI Listing |
Sci Rep
November 2024
FAST Labs™, BAE Systems, 130 Daniel Webster Hwy., Merrimack, 03054, NH, USA.
Extremely high-Q microresonators provide an attractive platform for a plethora of photonic applications including optical frequency combs, high-precision metrology, telecommunication, microwave generation, narrow linewidth lasers, and stable frequency references. Moreover, the desire for compactness and a low power threshold for nonlinear phenomena have spurred investigation into integrated and scalable solutions. Historically, crystalline microresonators with Q ∼ 10 were one of the first material platforms providing unprecedented optical performance in a small form factor.
View Article and Find Full Text PDFJ Phys Condens Matter
June 2024
Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Troy, NY 12180, United States of America.
We study the low-frequency Raman active modes of twisted bilayer MoSfor several twist angles using a force-field approach and a parametrized bond polarizability model. We show that twist angles near high-symmetry stacking configurations exhibit stacking frustration that leads to significant buckling of the moiré superlattice. We find that atomic relaxation due to the twist is of prime importance.
View Article and Find Full Text PDFEntropy (Basel)
December 2022
Institute for Artificial Intelligence, Russian Technological University (MIREA), 119454 Moscow, Russia.
The results of many experimental and theoretical works indicate that after transport of protons across the mitochondrial inner membrane (MIM) in the oxidative phosphorylation (OXPHOS) system, they are retained on the membrane-water interface in nonequilibrium state with free energy excess due to low proton surface-to-bulk release. This well-established phenomenon suggests that proton trapping on the membrane interface ensures vectorial lateral transport of protons from proton pumps to ATP synthases (proton acceptors). Despite the key role of the proton transport in bioenergetics, the molecular mechanism of proton transfer in the OXPHOS system is not yet completely established.
View Article and Find Full Text PDFJ Chem Phys
January 2022
Department of Physical and Quantum Chemistry, Faculty of Chemistry, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland.
High-accuracy electronic structure calculations on the members of the helium isoelectronic series and the H molecule with a stretched bond reveal that the ground-state wavefunctions of these Coulombic systems give rise to natural orbitals (NO) with unusual properties. These solitonic NOs (SoNOs) possess fewer nodes than expected from their small occupation numbers, exhibit substantial spatial localization, and respond (with approximate retention of their shapes) in a paradoxical manner (e.g.
View Article and Find Full Text PDFJ Am Chem Soc
December 2021
Department of Chemistry, Chemistry Research Laboratory, University of Oxford, Oxford OX1 3TA, United Kingdom.
Molecules capable of mediating charge transport over several nanometers with minimal decay in conductance have fundamental and technological implications. Polymethine cyanine dyes are fascinating molecular wires because up to a critical length, they have no bond-length alternation (BLA) and their electronic structure resembles a one-dimensional free-electron gas. Beyond this threshold, they undergo a symmetry-breaking Peierls transition, which increases the HOMO-LUMO gap.
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