2008, Vol.11, No.2, pp.250-258
The existence and stability of dissipative discrete breathers (DDBs) in
rf superconducting quantum interference device (SQUID) arrays in
both one and two dimensions is investigated numerically.
In an rf SQUID array, the nonlinearity which is intrinsic to each SQUID
due to the presence of the Josephson junction (on-site nonlinearity),
along with the
weak coupling of each SQUID to its nearest neighbors through
magnetic forces, results in the appearance of discrete breathers.
We analyze several discrete breather excitations, both in one and
two dimensions, which are subjected to unavoidable losses.
These losses, however, are counter-balanced by an external flux
source leading to linearly stable discrete breather structures up to
relatively large coupling parameters.
We show that DDB excitations may locally alter the magnetic response of
array from paramagnetic to diamagnetic or vice versa,
and that they are not destroyed by increasing the dimensionality.
Key words:
nonlinear magnetic metamaterials, rf SQUID array,
discrete breathers
Full text: Acrobat PDF (845KB)
Copyright © Nonlinear Phenomena in Complex Systems. Last updated: July 10, 2008