Coupled energy patterns in zigzag molecular chains |
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| Institution: | 1. Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon;2. Botswana International University of Science and Technology, Private Bag 16 Palapye, Botswana;3. The African Institute for Mathematical Sciences, 6-8 Melrose Rd, Muizenberg 7945, South Africa;4. Laboratory of Material Sciences, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon;5. Department of Physics, Faculty of Science, University of Maroua, P.O. Box 46, Maroua, Cameroon;1. Laboratório de Farmacologia, Instituto Butantan, Av. Vital Brazil, 1500, 05503-900, São Paulo, Brazil;2. Laboratório de Toxinologia, Instituto Osvaldo Cruz, FIOCRUZ, Av. Brasil, 4365, 21040-900, Rio de Janeiro, Brazil;3. Instituto Nacional de Ciência e Tecnologia em Toxinas (INCTTox/CNPq), Brazil;1. Eenheid Algemene Chemie (ALGC), Member of the QCMM VUB-UGent Alliance Research Group, Vrije Universiteit Brussel, Pleinlaan 2, Brussels, Belgium;2. Sorbonne Université, UPMC Univ Paris 06, CNRS, UMR 7197, Laboratoire de Réactivité de Surface, Case 178, Site d''Ivry-Le Raphaël, 3 rue Galilée, 94200 Ivry sur Seine, France;3. AGH University of Science and Technology, Faculty of Energy and Fuels, Department of Fuel Technology, al. A. Mickiewicza 30, 30-059 Krakow, Poland;4. Sorbonne Université, UPMC Univ Paris 06, CNRS, UMR 7574, Laboratoire Chimie de la Matière Condensée, Collège de France, 11 Place Marcelin Berthelot, 75231 Paris Cedex 05, France;1. Faculty of Science and Technology, Free University of Bozen-Bolzano, Piazza Università 5, 39100 Bolzano, Italy;2. Dipartimento di Scienze Agrarie e Ambientali, University of Udine, Via delle Scienze 208, 33100 Udine, Italy |
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| Abstract: | The contribution of both longitudinal and transversal nonlinear oscillations to energy localization is investigated in a zigzag molecular chain, which include simultaneously nearest- and next-nearest neighbor interactions. Coupled amplitude equations are found in the form of discrete nonlinear Schrödinger equations, whose plane wave solutions are found to be subjected to some instabilities. They are shown to be very sensitive to transverse and longitudinal couplings, which is confirmed via direct numerical simulations. The two available modes are found to be alternatively responsible for energy localization and transport. Thermal fluctuations effects bring about highly localized modes, along with narrow structures for efficient energy transport. |
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| Keywords: | Zigzag chain Modulational instability Energy patterns |
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