Breaking reciprocity through nonlocal coupling in elastodynamic systems

2021 ◽  
Vol 150 (4) ◽  
pp. A108-A108
Author(s):  
Nathan Geib ◽  
Bogdan-Ioan Popa ◽  
Karl Grosh
Keyword(s):  
Nonlocal Coupling

The need of electron microscopy in the study of domains and domain walls in ferroelectrics

1994 ◽  
Vol 52 ◽  
pp. 550-551
Author(s):  
Wenwu Cao
Keyword(s):  
Domain Wall ◽  
Domain Walls ◽  
High Mobility ◽  
Continuum Theory ◽  
Polarization Vector ◽  
Ferroelectric Materials ◽  
Dielectric Constants ◽  
Nonlocal Coupling ◽  
Cubic Symmetry ◽  
Gradient Energy

Domain structures play a key role in determining the physical properties of ferroelectric materials. The formation of these ferroelectric domains and domain walls are determined by the intrinsic nonlinearity and the nonlocal coupling of the polarization. Analogous to soliton excitations, domain walls can have high mobility when the domain wall energy is high. The domain wall can be describes by a continuum theory owning to the long range nature of the dipole-dipole interactions in ferroelectrics. The simplest form for the Landau energy is the so called ϕ model which can be used to describe a second order phase transition from a cubic prototype,where Pi (i =1, 2, 3) are the components of polarization vector, α's are the linear and nonlinear dielectric constants. In order to take into account the nonlocal coupling, a gradient energy should be included, for cubic symmetry the gradient energy is given by,

scholarly journals HOW CRUCIAL IS SMALL WORLD CONNECTIVITY FOR DYNAMICS?

2006 ◽  
Vol 16 (09) ◽  
pp. 2767-2775 ◽  
Author(s):  
PRASHANT M. GADE ◽  
SUDESHNA SINHA
Keyword(s):  
Spectral Properties ◽  
Chaotic Systems ◽  
Signal To Noise Ratio ◽  
Dynamical Behavior ◽  
Small World ◽  
High Strength ◽  
Nonlocal Coupling ◽  
Small Noise ◽  
Optimal Value ◽  
Neuronal Systems

We study the dynamical behavior of the collective field of chaotic systems on small world lattices. Coupled neuronal systems as well as coupled logistic maps are investigated. We observe that significant changes in dynamical properties occur only at a reasonably high strength of nonlocal coupling. Further, spectral features, such as signal-to-noise ratio (SNR), change monotonically with respect to the fraction of random rewiring, i.e. there is no optimal value of the rewiring fraction for which spectral properties are most pronounced. We also observe that for small rewiring, results are similar to those obtained by adding small noise.

scholarly journals Existence of pulses in excitable media with nonlocal coupling

2015 ◽  
Vol 270 ◽  
pp. 400-456 ◽  
Author(s):  
Grégory Faye ◽  
Arnd Scheel
Keyword(s):  
Excitable Media ◽  
Nonlocal Coupling

scholarly journals Diversity of chimera-like patterns from a model of 2D arrays of neurons with nonlocal coupling

2017 ◽  
Vol 12 (3) ◽  
Author(s):  
Chang-Hai Tian ◽  
Xi-Yun Zhang ◽  
Zhen-Hua Wang ◽  
Zong-Hua Liu
Keyword(s):  
Nonlocal Coupling ◽  
2D Arrays
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