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121.
122.
Supriya Mukherjee A. Ghose Choudhury A. Roy Chowdhury 《International Journal of Theoretical Physics》2006,45(4):820-834
We investigate the relation between the local variables of a discrete integrable lattice system and the corresponding separation variables, derived from the associated spectral curve. In particular, we have shown how the inverse transformation from the separation variables to the discrete lattice variables may be factorized as a sequence of canonical transformations. 相似文献
123.
Masanobu Haraguchi David F. P. Pile Toshihiro Okamoto Masuo Fukui Dmitri K. Gramotnev 《Optical Review》2006,13(4):228-230
We have numerically shown the existence of coupled wedge plasmons (CWPs) which propagates along a nano gap of a twin metal
wedge. The CWPs are formed by wedge plasmons which can interact with each other. The dispersion relations of the wavenumber,
propagation distance, and beam area of CWPs, are described and show that the characteristics of CWPs are similar to those
of wedge plasmons and of gap plasmons. We also propose a new plasmon waveguide composed of twin metal wedges with a nano gap. 相似文献
124.
We present a coupled decreasing sequence of random walks on Z that dominate the edge process of oriented bond percolation in two dimensions. Using the concept of random walk in a strip, we describe an algorithm that generates an increasing sequence of lower bounds that converges to the critical probability
of oriented percolation pc. From the 7th term on, these lower bounds improve upon 0.6298, the best rigorous lower bound at present, establishing 0.63328
as a rigorous lower bound for pc. Finally, a Monte Carlo simulation technique is presented; the use thereof establishes 0.64450 as a non-rigorous five-digit-precision (lower) estimate
for pc.
Mathematics Subject Classification (1991): 60K35
Supported by CNPq (grant N.301637/91-1).
Supported by a grant from CNPq. 相似文献
125.
We study the efficiency of the incomplete enumeration algorithm for linear and branched polymers. There is a qualitative difference
in the efficiency in these two cases. The average time to generate an independent sample of configuration of polymer with
n monomers varies as n
2 for linear polymers for large n, but as exp(cn
α) for branched (undirected and directed) polymers, where 0<α<1. On the binary tree, our numerical studies for n of order 104 gives α = 0.333±0.005. We argue that α =1/3 exactly in this case.
An erratum to this article can be found at . 相似文献
126.
We continue our study of the exponential law for occurrences and returns of patterns in the context of Gibbsian random fields.
For the low-temperature plus-phase of the Ising model, we prove exponential laws with error bounds for occurrence, return,
waiting and matching times. Moreover we obtain a Poisson law for the number of occurrences of large cylindrical events and
a Gumbel law for the maximal overlap between two independent copies. As a by-product, we derive precise fluctuation results
for the logarithm of waiting and return times. The main technical tool we use, in order to control mixing, is disagreement
percolation 相似文献
127.
利用三阶混沌系统构造了一种新的微弱信号检测系统——类Liu系统, 对类Liu 系统进行了深度的理论分析. 类Liu系统中, 当输入待测信号幅值大于某临界值时, 系统可达到平衡点S0, S0中系统变量x平衡于摄动力信号, 系统变量y, z收敛于零态, 且S0 对应的Lyapunov指数小于零. 通过Matlab仿真、Multisim电路仿真以及实际电路证明了类Liu系统的周期态收敛性及广域检测性, 解决了传统Duffing系统进行微弱信号检测时周期态不收敛、只能进行窄域检测等问题, 同时谱级信噪比范围仍可达-46.57 dB. 类Liu系统采用了全新的设计理念, 具有较高的实用价值, 对未来海洋物联网中的水声通信有一定参考价值. 相似文献
128.
Pourbaix diagrams in weakly coupled systems: a case study involving acridinol and phenanthridinol pseudobases 下载免费PDF全文
Renat Khatmullin Hoi Ling Luk Christopher M. Hadad Ksenija D. Glusac 《Journal of Physical Organic Chemistry》2016,29(4):204-208
The thermodynamics of proton‐coupled electron transfer (PCET) in weakly coupled organic pseudobases was investigated using 2,7‐dimethyl‐9‐hydroxy‐9‐phenyl‐10‐tolyl‐9,10‐dihydroacridine (AcrOH) and 6‐phenylphenanthridinol (PheOH) as model compounds. Pourbaix diagrams for two model compounds were constructed using the oxidation potentials and the pKa values obtained, respectively, from cyclic voltammetry and photometric titrations. Our comparative study reveals the importance of having the redox active –N center closer to –OH functionality on the thermodynamics of PCET process: PheOH exhibits a wider range of pH values (pH = 2.8 to 13.3) in which both the alcohol and the corresponding alkoxy radical are expected to coexist in solution. This result indicates that a concerted mechanism is more likely to be discovered in pseudobases analogous to PheOH. The thermochemical data also indicate that the concerted PCET mechanism cannot be achieved if water is used as the proton acceptor: assuming the pKa of hydronium ions as ?1.7, the PCET involving PheOH or AcrOH as proton/electron donors and water as the proton acceptor is expected to follow the stepwise ET/PT mechanism. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
129.
130.