Premium
Synchronization transitions in Josephson arrays: a puzzle and its resolution
Author(s) -
Heath Ted,
Wiesenfeld K.
Publication year - 2000
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/1521-3889(200010)9:9/10<689::aid-andp689>3.0.co;2-7
Subject(s) - josephson effect , synchronization (alternating current) , physics , hysteresis , series (stratigraphy) , resolution (logic) , class (philosophy) , statistical physics , topology (electrical circuits) , computer science , quantum mechanics , mathematics , superconductivity , combinatorics , artificial intelligence , paleontology , biology
We resolve a long standing puzzle concerning synchronization in Josephson junction series arrays. We introduce a modified averaging technique to recover a crucial piece of the collective dynamics. The predicted transition between inphase and splay states is fundamentally changed, introducing the hysteresis long known to be observed in these systems. The analogous problem arises in a general class of globally coupled oscillators.