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Synchronization in systems with linear, yet nonreciprocal interactions

Räth, Christoph and Haslauer, Michael and Laut, Ingo (2018) Synchronization in systems with linear, yet nonreciprocal interactions. DPG-Frühjahrestagung der Sektion Kondensierte Materie gemeinsam mit der EPS, 11.-16. März 2018, Berlin, Deutschland. (Unpublished)

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Synchronization of oscillatory subsystems is a widespread phenomenon in science. It is argued that the presence of nonlinearities is a necessary prerequisite for synchronization. Here, we study synchronization in complex plasmas consisting of microparticles in addition to the plasma. The particles can form 2D crystalline structures. They can melt via mode-coupling instability (MCI), which is a consequence of the effective nonreciprocal interactions. Synchronized particle motion during MCI-melting of 2D plasma crystal was reported in [1]. To disentangle the effects of nonlinearity and nonreciprocity on the emergence of synchronization, we solved numerically the nonlinear and the linearized system. Analyzing the synchronization with a new order parameter [2] reveals that a linearized version of the interaction model exhibits the same synchronization patterns as the full, nonlinear one. Further, theoretical considerations show that nonreciprocal interactions among particles generally provide a mechanism for the selection of dominant wave modes causing the system to show synchronized motion. Thus, we demonstrate numerically and analytically that also linear systems can synchronize and that the nonreciprocity of the interaction is the more decisive property for a n-body system to synchronize. [1] L. Couëdel et al., Phys. Rev. E, 89, 053108 (2014) [2] I. Laut et al., EPL, 110, 65001 (2015)

Item URL in elib:https://elib.dlr.de/119425/
Document Type:Conference or Workshop Item (Speech)
Title:Synchronization in systems with linear, yet nonreciprocal interactions
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Haslauer, MichaelForschungsgruppe komplexe PlasmenUNSPECIFIEDUNSPECIFIED
Refereed publication:No
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Keywords:Synchronisation, komplexe Plasmen, nichtreziproke Wechselwirkungen
Event Title:DPG-Frühjahrestagung der Sektion Kondensierte Materie gemeinsam mit der EPS
Event Location:Berlin, Deutschland
Event Type:international Conference
Event Dates:11.-16. März 2018
Organizer:Deutsche Physikalische Gesellschaft
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Research under Space Conditions
DLR - Research theme (Project):R - Komplexe Plasmen / Data analysis (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Materials Physics in Space > Research Group Complex Plasma
Deposited By: Räth, Christoph
Deposited On:06 Apr 2018 10:36
Last Modified:31 Jul 2019 20:16

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