TY - JOUR
T1 - Control of transport in a chaotic lattice
AU - Shinbrot, Troy
AU - Bresler, Leo
AU - Ottino, Julio M.
N1 - Funding Information:
The authors wish to thank D. del Castillo-Negrete, J.D. Meiss, and V. Rom-Kedar for valuable comments and assistance. This work was supported by the Department of Energy (Office of Basic Energy Sciences through a grant to J.M.O.).
PY - 1996
Y1 - 1996
N2 - We examine a mechanism for the elimination of vertical transport in a square, isotropic chaotic lattice. We find that applying a shear "jet" along a line of symmetry in the lattice can completely impede chaotic transport across a specified barrier. This is accomplished through a change in allegiance of heteroclinic connections within the lattice. This mechanism is relatively insensitive to details such as amplitude or shape of the applied shear. It depends quite sensitively, however, on the precise location of the shear. This suggests that the placement of flow control devices in physical situations may be much more critical to transport behavior than are other control parameters. In addition, we develop a necessary condition for the existence of boundary circles in non-twist maps. Using this condition we find that transport across a barrier can be eliminated for all practical purposes without evidence for an invariant boundary circle.
AB - We examine a mechanism for the elimination of vertical transport in a square, isotropic chaotic lattice. We find that applying a shear "jet" along a line of symmetry in the lattice can completely impede chaotic transport across a specified barrier. This is accomplished through a change in allegiance of heteroclinic connections within the lattice. This mechanism is relatively insensitive to details such as amplitude or shape of the applied shear. It depends quite sensitively, however, on the precise location of the shear. This suggests that the placement of flow control devices in physical situations may be much more critical to transport behavior than are other control parameters. In addition, we develop a necessary condition for the existence of boundary circles in non-twist maps. Using this condition we find that transport across a barrier can be eliminated for all practical purposes without evidence for an invariant boundary circle.
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U2 - 10.1016/0167-2789(95)00293-6
DO - 10.1016/0167-2789(95)00293-6
M3 - Article
AN - SCOPUS:0030169907
VL - 93
SP - 191
EP - 209
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 3-4
ER -