Spin-1/2 Heisenberg antiferromagnet with anisotropic nearest- and next-nearest-neighbor coupling

1992 ◽  
Vol 46 (17) ◽  
pp. 11133-11136 ◽  
Author(s):  
William J. Massano ◽  
Janice D. Prie ◽  
Jay D. Mancini
Keyword(s):  
Nearest Neighbor ◽  
Heisenberg Antiferromagnet ◽  
Nearest Neighbor Coupling

Variational solution for the spin Heisenberg antiferromagnet with nearest and next nearest neighbor coupling

1992 ◽  
Vol 84 (6) ◽  
pp. 585-589 ◽  
Author(s):  
David Gottlieb ◽  
Maximiliano Montenegro ◽  
Cristian Millán ◽  
Vicente Díaz ◽  
Karen Hallberg
Keyword(s):  
Nearest Neighbor ◽  
Variational Solution ◽  
Heisenberg Antiferromagnet ◽  
Nearest Neighbor Coupling

Engineering Nearest Neighbor Coupling in Huygens Metasurfaces

2021 ◽  
Author(s):  
Isaac O. Oguntoye ◽  
Siddharth Padmanabha ◽  
Brittany Simone ◽  
Adam Ollanik ◽  
Matthew D. Escarra
Keyword(s):  
Nearest Neighbor ◽  
Nearest Neighbor Coupling

NONLOCAL SYNCHRONIZATION IN NEAREST NEIGHBOR COUPLED OSCILLATORS

2002 ◽  
Vol 12 (12) ◽  
pp. 2945-2955 ◽  
Author(s):  
HASSAN F. EL-NASHAR ◽  
AHMED S. ELGAZZAR ◽  
HILDA A. CERDEIRA
Keyword(s):  
Coupled Oscillators ◽  
Nearest Neighbor ◽  
Power Spectra ◽  
Direct Coupling ◽  
Frequency Synchronization ◽  
Nearest Neighbor Coupling

We investigate a system of nearest neighbor coupled oscillators. We show that the nonlocal frequency synchronization, that might appear in such a system, occurs as a consequence of the nearest neighbor coupling. The power spectra of nonadjacent oscillators show that there is no complete coincidence between all frequency peaks of the oscillators in the nonlocal cluster, while the peaks for neighboring oscillators approximately coincide even if they are not yet in a cluster. It is shown that nonadjacent oscillators closer in frequencies, share slow modes with their adjacent oscillators which are neighbors in space. It is also shown that when a direct coupling between non-neighbors oscillators is introduced explicitly, the peaks of the spectra of the frequencies of those non-neighbors coincide.

scholarly journals Spreading of perturbations in myosin group kinetics along actin filaments

2019 ◽  
Vol 116 (35) ◽  
pp. 17336-17344 ◽  
Author(s):  
Zsombor Balassy ◽  
Anne-Marie Lauzon ◽  
Lennart Hilbert
Keyword(s):  
Actin Filament ◽  
Actin Filaments ◽  
Nearest Neighbor ◽  
Global Changes ◽  
Chain Model ◽  
Mechanical Coupling ◽  
In Vitro Motility ◽  
Local Perturbations ◽  
Nearest Neighbor Coupling

Global changes in the state of spatially distributed systems can often be traced back to perturbations that arise locally. Whether such local perturbations grow into global changes depends on the system geometry and the spatial spreading of these perturbations. Here, we investigate how different spreading behaviors of local perturbations determine their global impact in 1-dimensional systems of different size. Specifically, we assessed sliding arrest events in in vitro motility assays where myosins propel actin, and simulated the underlying mechanochemistry of myosins that bind along the actin filament. We observed spontaneous sliding arrest events that occurred more frequently for shorter actin filaments. This observation could be explained by spontaneous local arrest of myosin kinetics that stabilizes once it spreads throughout an entire actin filament. When we introduced intermediate concentrations of the actin cross-linker filamin, longer actin was arrested more frequently. This observation was reproduced by simulations where filamin binding induces persistent local arrest of myosin kinetics, which subsequently spreads throughout the actin filament. A spin chain model with nearest-neighbor coupling reproduced key features of our experiments and simulations, thus extending to other linear systems with nearest-neighbor coupling the following conclusions: 1) perturbations that are persistent only once they spread throughout the system are more effective in smaller systems, and 2) perturbations that are persistent upon their establishment are more effective in larger systems. Beyond these general conclusions, our work also provides a theoretical model of collective myosin kinetics with a finite range of mechanical coupling along the actin filament.

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