Transfer entropy (TE) seems currently to be the most widely used tool to characterize causal influences in ensembles of complex systems from observed time series. In particular, in an elemental case of two systems, nonzero TEs in both directions are usually interpreted as a sign of a bidirectional coupling. However, one often overlooks that both positive TEs may well be encountered for unidirectionally coupled systems so that a false detection of a causal influence on the basis of a nonzero TE is rather possible. This work highlights typical factors leading to such "spurious couplings": (i) unobserved state variables of the driving system, (ii) low temporal resolution, and (iii) observation errors. All are shown to be particular cases of a general problem: imperfect observations of states of the driving system. Importantly, exact values of TEs, rather than their statistical estimates, are computed here for selected benchmark systems. Conditions for a "spurious" TE to be large and even strongly exceed a "correct" TE are presented and discussed.
in this paper we present a facile method for the synthesis of aminated graphene derivative through simultaneous reduction and amination of graphene oxide via two-step liquid phase treatment with hydrobromic acid and ammonia solution in mild conditions. the amination degree of the obtained aminated reduced graphene oxide is of about 4 at.%, whereas C/O ratio is up to 8.8 as determined by means of X-ray photoelectron spectroscopy. the chemical reactivity of the introduced amine groups is further verified by successful test covalent bonding of the obtained aminated graphene with 3-Chlorobenzoyl chloride. The morphological features and electronic properties, namely conductivity, valence band structure and work function are studied as well, illustrating the influence of amine groups on graphene structure and physical properties. particularly, the increase of the electrical conductivity, reduction of the work function value and tendency to form wrinkled and corrugated graphene layers are observed in the aminated graphene derivative compared to the pristine reduced graphene oxide. As obtained aminated graphene could be used for photovoltaic, biosensing and catalysis application as well as a starting material for further chemical modifications.
The electronic structure of high-quality van der Waals NiPS 3 crystals was studied using near-edge x-ray absorption spectroscopy (NEXAFS) and resonant photoelectron spectroscopy (ResPES) in combination with density functional theory (DFT) approach.The experimental spectroscopic methods, being element specific, allow to discriminate between atomic contributions in the valence and conduction band density of states and give direct comparison with the results of DFT calculations. Analysis of the NEXAFS and ResPES data allows to identify the NiPS 3 material as a charge-transfer insulator.Obtained spectroscopic and theoretical data are very important for the consideration of possible correlated-electron phenomena in such transition-metal layered materials, where the interplay between different degrees of freedom for electrons defines their electronic properties, allowing to understand their optical and transport properties and to propose further possible applications in electronics, spintronics and catalysis.
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