The permittivity at X-band frequencies of nickel-coated graphite fibers in an epoxy matrix

1994 ◽  
Vol 9 (1) ◽  
pp. 246-251 ◽  
Author(s):  
Yung-Shou Ho ◽  
P. Schoen
Keyword(s):  
Epoxy Matrix ◽  
Mean Field Theory ◽  
Mean Field ◽  
Dielectric Behavior ◽  
Fiber Concentration ◽  
Band Frequency ◽  
Microwave Dielectric ◽  
X Band ◽  
Graphite Fibers ◽  
Composite Mixture

In this study, we have investigated the microwave dielectric behavior of a composite formed by embedding nickel-coated graphite fibers in an epoxy matrix. Permittivities of composites in the X-band frequency range as a function of fiber concentration, fiber length, and the degree of fiber aggregation were studied. Fiber aggregation was reduced significantly by the addition of silica particles to the composite mixture before epoxy curing. Predictions from the mean field theory fit the experimental data well at dilute fiber concentrations.

scholarly journals Dielectric Behavior of OPEFB Reinforced Polycaprolactone Composites at X-Band Frequency

2016 ◽  
Vol 31 (1) ◽  
pp. 18-25 ◽  
Author(s):  
A. Fahad ◽  
Z. Abbas ◽  
S. J. Obaiys ◽  
N. Ibrahim ◽  
A. Yakubu
Keyword(s):  
Dielectric Behavior ◽  
Band Frequency ◽  
X Band

Mean field theory of n-layer unbinding

1993 ◽  
Vol 3 (3) ◽  
pp. 385-393 ◽  
Author(s):  
W. Helfrich
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field

scholarly journals Evidence of exactness of the mean-field theory in the nonextensive regime of long-range classical spin models

2000 ◽  
Vol 61 (17) ◽  
pp. 11521-11528 ◽  
Author(s):  
Sergio A. Cannas ◽  
A. C. N. de Magalhães ◽  
Francisco A. Tamarit
Keyword(s):  
Field Theory ◽  
Long Range ◽  
Mean Field Theory ◽  
Mean Field ◽  
Spin Models ◽  
Classical Spin ◽  
The Mean ◽  
Classical Spin Models

scholarly journals Swarm shedding in networks of self-propelled agents

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Jason Hindes ◽  
Victoria Edwards ◽  
Klimka Szwaykowska Kasraie ◽  
George Stantchev ◽  
Ira B. Schwartz
Keyword(s):  
Network Topology ◽  
Collective Motion ◽  
Mean Field Theory ◽  
Mean Field ◽  
Interaction Strength ◽  
Central Question ◽  
Agent Interaction ◽  
Sparse Networks ◽  
Swarm Pattern ◽  
Limited Sensing

AbstractUnderstanding swarm pattern formation is of great interest because it occurs naturally in many physical and biological systems, and has artificial applications in robotics. In both natural and engineered swarms, agent communication is typically local and sparse. This is because, over a limited sensing or communication range, the number of interactions an agent has is much smaller than the total possible number. A central question for self-organizing swarms interacting through sparse networks is whether or not collective motion states can emerge where all agents have coherent and stable dynamics. In this work we introduce the phenomenon of swarm shedding in which weakly-connected agents are ejected from stable milling patterns in self-propelled swarming networks with finite-range interactions. We show that swarm shedding can be localized around a few agents, or delocalized, and entail a simultaneous ejection of all agents in a network. Despite the complexity of milling motion in complex networks, we successfully build mean-field theory that accurately predicts both milling state dynamics and shedding transitions. The latter are described in terms of saddle-node bifurcations that depend on the range of communication, the inter-agent interaction strength, and the network topology.

scholarly journals Intrinsic dissipative Floquet superconductors beyond mean-field theory

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
Qinghong Yang ◽  
Zhesen Yang ◽  
Dong E. Liu
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field
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