775 research outputs found

    Self Consistent Expansion for the Molecular Beam Epitaxy Equation

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    Motivated by a controversy over the correct results derived from the dynamic renormalization group (DRG) analysis of the non linear molecular beam epitaxy (MBE) equation, a self-consistent expansion (SCE) for the non linear MBE theory is considered. The scaling exponents are obtained for spatially correlated noise of the general form D(rr,tt)=2D0rr2ρdδ(tt)D({\vec r - \vec r',t - t'}) = 2D_0 | {\vec r - \vec r'} |^{2\rho - d} \delta ({t - t'}). I find a lower critical dimension dc(ρ)=4+2ρd_c (\rho) = 4 + 2\rho , above, which the linear MBE solution appears. Below the lower critical dimension a r-dependent strong-coupling solution is found. These results help to resolve the controversy over the correct exponents that describe non linear MBE, using a reliable method that proved itself in the past by predicting reasonable results for the Kardar-Parisi-Zhang (KPZ) system, where DRG failed to do so.Comment: 16 page

    Clustering properties of a generalised critical Euclidean network

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    Many real-world networks exhibit scale-free feature, have a small diameter and a high clustering tendency. We have studied the properties of a growing network, which has all these features, in which an incoming node is connected to its iith predecessor of degree kik_i with a link of length \ell using a probability proportional to kiβαk^\beta_i \ell^{\alpha}. For α>0.5\alpha > -0.5, the network is scale free at β=1\beta = 1 with the degree distribution P(k)kγP(k) \propto k^{-\gamma} and γ=3.0\gamma = 3.0 as in the Barab\'asi-Albert model (α=0,β=1\alpha =0, \beta =1). We find a phase boundary in the αβ\alpha-\beta plane along which the network is scale-free. Interestingly, we find scale-free behaviour even for β>1\beta > 1 for α<0.5\alpha < -0.5 where the existence of a new universality class is indicated from the behaviour of the degree distribution and the clustering coefficients. The network has a small diameter in the entire scale-free region. The clustering coefficients emulate the behaviour of most real networks for increasing negative values of α\alpha on the phase boundary.Comment: 4 pages REVTEX, 4 figure

    Diffusive Capture Process on Complex Networks

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    We study the dynamical properties of a diffusing lamb captured by a diffusing lion on the complex networks with various sizes of NN. We find that the life time ofalambscalesasN of a lamb scales as \sim N and the survival probability S(N,t)S(N\to \infty,t) becomes finite on scale-free networks with degree exponent γ>3\gamma>3. However, S(N,t)S(N,t) for γ<3\gamma<3 has a long-living tail on tree-structured scale-free networks and decays exponentially on looped scale-free networks. It suggests that the second moment of degree distribution istherelevantfactorforthedynamicalpropertiesindiffusivecaptureprocess.Wenumericallyfindthatthenormalizednumberofcaptureeventsatanodewithdegree is the relevant factor for the dynamical properties in diffusive capture process. We numerically find that the normalized number of capture events at a node with degree k,, n(k),decreasesas, decreases as n(k)\sim k^{-\sigma}.When. When \gamma<3,, n(k)stillincreasesanomalouslyfor still increases anomalously for k\approx k_{max}.Weanalyticallyshowthat. We analytically show that n(k)satisfiestherelation satisfies the relation n(k)\sim k^2P(k)andthetotalnumberofcaptureevents and the total number of capture events N_{tot}isproportionalto is proportional to , which causes the γ\gamma dependent behavior of S(N,t)S(N,t) and $.Comment: 9 pages, 6 figure

    A Scaling-up Synthesis From Laboratory Scale to Pilot Scale and to Near Commercial Scale for Paste-Glue Production

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    This paper concerns on developing a synthesis method of paste-glue production for gummed tape using a corn-based starch as an alternative feedstock from laboratory-scale to pilot-scale and to near commercial scale. Basically, two methods of synthesis were developed to produce paste-glue in laboratory scale. Based on the two methods, we then scale-up the earlier laboratory scale data to pilot-scale and near commercial-scale for developing a large scale process production of paste-glue. Scaling up production from 1,000 ml reactor to 500 L pilot-scale reactor and 1,500 L near commercial scale reactor, we monitored pathway of temperature increase during reaction as well as adjustment of operating condition conducted for laboratory experimental data in order to produce a good quality of paste-glue. Some scaling up parameters have been found as well as critical parameters for a good product quality such as viscosity and ceiling temperature of the reaction which are very crucial in order to give optimum operating condition. We have selected synthesis method of paste-glue production and found the range of the parameters in order to produce a very good quality of paste-glue in pilot scale and near commercial scale

    Weighted Evolving Networks

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    Many biological, ecological and economic systems are best described by weighted networks, as the nodes interact with each other with varying strength. However, most network models studied so far are binary, the link strength being either 0 or 1. In this paper we introduce and investigate the scaling properties of a class of models which assign weights to the links as the network evolves. The combined numerical and analytical approach indicates that asymptotically the total weight distribution converges to the scaling behavior of the connectivity distribution, but this convergence is hampered by strong logarithmic corrections.Comment: 5 pages, 3 figure

    Dynamical surface structures in multi-particle-correlated surface growths

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    We investigate the scaling properties of the interface fluctuation width for the QQ-mer and QQ-particle-correlated deposition-evaporation models. These models are constrained with a global conservation law that the particle number at each height is conserved modulo QQ. In equilibrium, the stationary roughness is anomalous but universal with roughness exponent α=1/3\alpha=1/3, while the early time evolution shows nonuniversal behavior with growth exponent β\beta varying with models and QQ. Nonequilibrium surfaces display diverse growing/stationary behavior. The QQ-mer model shows a faceted structure, while the QQ-particle-correlated model a macroscopically grooved structure.Comment: 16 pages, 10 figures, revte

    Directly e-mailing authors of newly published papers encourages community curation

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    Much of the data within Model Organism Databases (MODs) comes from manual curation of the primary research literature. Given limited funding and an increasing density of published material, a significant challenge facing all MODs is how to efficiently and effectively prioritize the most relevant research papers for detailed curation. Here, we report recent improvements to the triaging process used by FlyBase. We describe an automated method to directly e-mail corresponding authors of new papers, requesting that they list the genes studied and indicate (‘flag’) the types of data described in the paper using an online tool. Based on the author-assigned flags, papers are then prioritized for detailed curation and channelled to appropriate curator teams for full data extraction. The overall response rate has been 44% and the flagging of data types by authors is sufficiently accurate for effective prioritization of papers. In summary, we have established a sustainable community curation program, with the result that FlyBase curators now spend less time triaging and can devote more effort to the specialized task of detailed data extraction

    An air-stable DPP-thieno-TTF copolymer for single-material solar cell devices and field effect transistors

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    Following an approach developed in our group to incorporate tetrathiafulvalene (TTF) units into conjugated polymeric systems, we have studied a low band gap polymer incorporating TTF as a donor component. This polymer is based on a fused thieno-TTF unit that enables the direct incorporation of the TTF unit into the polymer, and a second comonomer based on the diketopyrrolopyrrole (DPP) molecule. These units represent a donor–acceptor copolymer system, p(DPP-TTF), showing strong absorption in the UV–visible region of the spectrum. An optimized p(DPP-TTF) polymer organic field effect transistor and a single material organic solar cell device showed excellent performance with a hole mobility of up to 5.3 × 10–2 cm2/(V s) and a power conversion efficiency (PCE) of 0.3%, respectively. Bulk heterojunction organic photovoltaic devices of p(DPP-TTF) blended with phenyl-C71-butyric acid methyl ester (PC71BM) exhibited a PCE of 1.8%
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