Coupled energy patterns in zigzag molecular chains

• Published in: Wave motion Vol. 72; pp. 342 - 353
• Main Authors: Sadjo, Bertrand, Tabi, Conrad B., Edongue, Hervais, Mohamadou, Alidou
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.07.2017; Elsevier BV
• Subjects: Computer simulation; Coupling (molecular); Couplings; Effects; Energy efficiency; Energy patterns; Modulational instability; Molecular chains; Nonlinear equations; Position (location); Schrodinger equation; Simulation; Transport; Zigzag chain; Zigzag chain; Modulational instability; Energy patterns
• ISSN: 0165-2125; 1878-433X
• DOI: 10.1016/j.wavemoti.2017.04.008

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. •The nonlinear dynamics of complex zigzag molecules is addressed.•Transverse and longitudinal dynamics are shown to both contribute to energy localization via modulational instability.•Thermal fluctuations are responsible for highly localized energy patterns.