Direct time delay computation applied to the O + O2 exchange reaction at low energy: Lifetime spectrum of O3* species

2021 ◽  
Vol 154 (10) ◽  
pp. 104303
Author(s):  
Erwan Privat ◽  
Grégoire Guillon ◽  
Pascal Honvault
1989 ◽  
Vol 11 (2) ◽  
pp. 171-179 ◽  
Author(s):  
Ching Cheng-rui ◽  
Ho Tso-hsiu ◽  
Zou Bing-song ◽  
Mikkel B. Johnson

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 2007
Author(s):  
Guiyun Liu ◽  
Junqiang Li ◽  
Zhongwei Liang ◽  
Zhimin Peng

The traditional SIRS virus propagation model is used to analyze the malware propagation behavior of wireless rechargeable sensor networks (WRSNs) by adding a new concept: the low-energy status nodes. The SIRS-L model has been developed in this article. Furthermore, the influence of time delay during the charging behavior of the low-energy status nodes needs to be considered. Hopf bifurcation is studied by discussing the time delay that is chosen as the bifurcation parameter. Finally, the properties of the Hopf bifurcation are explored by applying the normal form theory and the center manifold theorem.


Author(s):  
Wang Xue-Ping

SynopsisIn this paper, we are interested in the L2-continuity of the Eisenbud–Wigner time-delay operator in potential scattering theory. Using the ideas due to Jensen–Kato [5], we first establish some low energy estimates on the resolvent of the Schrödinger operator and its derivative in weighted Sobolev spaces. Then applying these results together with the global decay of the wave functions (Lemma 3.2), we show that the Eisenbud–Wigner time-delay operator extends to a bounded operator on L2(Rn) with n ≧ 4, on condition that the potential V(x) decreases as fast as 0(|x | −4−ε) at infinity and that 0 is neither the eigenvalue nor the resonance for the Schrodinger operator –Δ + V for n = 4 or 5.


2000 ◽  
Vol 19 (4) ◽  
pp. 661-671 ◽  
Author(s):  
Jacqueline M. Veauthier ◽  
Albert Chow ◽  
Gideon Fraenkel ◽  
Steven J. Geib ◽  
N. John Cooper
Keyword(s):  

2014 ◽  
Vol 614 ◽  
pp. 352-355
Author(s):  
Xiao Yu Lan ◽  
Qing Yang Guan ◽  
Yan Zou

It is known that computational complexity of the propagator method (PM) can be significantly smaller than those of MUSIC and ESPRIT because the PM does not require any eigenvalue decomposition (EVD) of the received data. However, most the algorithm based on PM requires more antenna elements than targets. In order to solve these issues, a novel low energy algorithm utilizing array base-line rotation for multiple targets estimation is proposed. By rotating two elements and setting a fixed time delay, even number of elements is selected to form a virtual UCA. Then, the received data of signals will be sampled at multiple positions, which improves the array elements utilization greatly. Simulations results verified the effectiveness of the proposed algorithm with high resolution and estimation accuracy performance.


2008 ◽  
Vol 103 (5) ◽  
pp. 053301 ◽  
Author(s):  
Yasuhiro Hara ◽  
Seigo Takashima ◽  
Koji Yamakawa ◽  
Shoji Den ◽  
Hirotaka Toyoda ◽  
...  

Mathematics ◽  
2021 ◽  
Vol 9 (9) ◽  
pp. 978
Author(s):  
Guiyun Liu ◽  
Junqiang Li ◽  
Zhongwei Liang ◽  
Zhimin Peng

With the development of wireless rechargeable sensor networks (WRSNs), many scholars began to attach attention to network security under the spread of viruses. This paper mainly studies a novel low-energy-status-based model SISL (Susceptible, Infected, Susceptible, Low-Energy). The conversion process from low-energy nodes to susceptible nodes is called charging. It is noted that the time delay of the charging process in WRSNs should be considered. However, the charging process and its time delay have not been investigated in traditional epidemic models in WRSNs. Thus, the model SISL is proposed. The basic reproduction number, the disease-free equilibrium point, and the endemic equilibrium point are discussed here. Meanwhile, local stability and global stability of the disease-free equilibrium point and the endemic equilibrium point are analyzed. The addition of the time-delay term needs to be analyzed to determine whether it affects the stability. The intervention treatment strategy under the optimal control is obtained through the establishment of the Hamiltonian function and the application of the Pontryagin principle. Finally, the theoretical results are verified by simulations.


1976 ◽  
Vol 60 (4) ◽  
pp. 344-346 ◽  
Author(s):  
C. Maroni ◽  
I. Massa ◽  
G. Vannini

Author(s):  
A. Garg ◽  
W.A.T. Clark ◽  
J.P. Hirth

In the last twenty years, a significant amount of work has been done in the theoretical understanding of grain boundaries. The various proposed grain boundary models suggest the existence of coincidence site lattice (CSL) boundaries at specific misorientations where a periodic structure representing a local minimum of energy exists between the two crystals. In general, the boundary energy depends not only upon the density of CSL sites but also upon the boundary plane, so that different facets of the same boundary have different energy. Here we describe TEM observations of the dissociation of a Σ=27 boundary in silicon in order to reduce its surface energy and attain a low energy configuration.The boundary was identified as near CSL Σ=27 {255} having a misorientation of (38.7±0.2)°/[011] by standard Kikuchi pattern, electron diffraction and trace analysis techniques. Although the boundary appeared planar, in the TEM it was found to be dissociated in some regions into a Σ=3 {111} and a Σ=9 {122} boundary, as shown in Fig. 1.


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