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Τύπος:	Άρθρο σε επιστημονικό περιοδικό
Τίτλος:	Energy transmission in Hamiltonian systems of globally interacting particles with Klein-Gordon on-site potentials
Συγγραφέας:	[ES] Macías-Díaz, Jorge Eduardo [EL] Μπούντης, Αναστάσιος[EN] Bountis, Anastasios [EL] Χριστοδουλίδη, Ελένη[EN] Christodoulidi, Helen
Ημερομηνία:	03/04/2019
Περίληψη:	We consider a family of 1-dimensional Hamiltonian systems consisting of a large number of particles with on-site potentials and global (long-range) interactions. Using a stable and convergent finite-difference scheme, the particles are perturbed sinusoidally at one end using Dirichlet data, while at the other end we place an absorbing boundary to simulate a semi-infinite medium. Using such a lattice with quadratic particle interactions, we use a parameter α as a measure of the `length' of interactions, and show that there is a sharp threshold above which energy is transmitted in the form of large amplitude nonlinear modes, as long as driving frequencies lie in the forbidden band-gap of the system. At this threshold value there is a sudden flow of energy into the system, which has so far been studied in classical systems involving nearest-neighbor interactions. This process is called nonlinear supratransmission and we show that it occurs at higher amplitudes the longer is the range of interactions, reaching a maximum around an intermediate length of interactions.
Γλώσσα:	Αγγλικά
Σελίδες:	16
DOI:	10.3934/mine.2019.2.343
EISSN:	2640-3501
Θεματική κατηγορία:	[EL] Μαθηματική φυσική[EN] Mathematical Physics
Λέξεις-κλειδιά:	nonlinear supratransmission; globally interacting systems; on-site potentials
Κάτοχος πνευματικών δικαιωμάτων:	© 2019 the Author(s), licensee AIMS Press.
Όροι και προϋποθέσεις δικαιωμάτων:	This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
Ηλεκτρονική διεύθυνση του τεκμηρίου στον εκδότη:	http://www.aimspress.com/article/10.3934/mine.2019.2.343
Ηλεκτρονική διεύθυνση περιοδικού:	http://www.aimspress.com/journal/mine
Τίτλος πηγής δημοσίευσης:	Mathematics in Engineering
Τεύχος:	2
Τόμος:	1
Σελίδες τεκμηρίου (στην πηγή):	343–358
Σημειώσεις:	This contribution is part of the Special Issue: Hamiltonian Lattice Dynamics A. Bountis acknowledges partial support for this research by an ORAU grant from Nazarbayev University, 2017–2020. Meanwhile, J. E. Mac´ıas-D´ıaz acknowledges support from the same research project for his visits at Nazarbayev University in May and October 2018, where some of the work presented here was performed. He thanks Prof. A. Bountis and his colleagues at Nazarbayev University for their hospitality and collaboration during this visit. H. Christodoulidi acknowledges support from the State Scholarship Foundation (IKY) operational Program: ‘Education and Lifelong Learning-Supporting Postdoctoral Researchers’ 2014–2020, and is co-financed by the European Union and Greek national funds.
Εμφανίζεται στις συλλογές:	Μεταδιδακτορικοί ερευνητές