Role of Time Scales in the Coupled Epidemic-Opinion Dynamics on Multiplex Networks

Modelling the epidemic’s spread on multiplex networks, considering complex human behaviours, has recently gained the attention of many scientists. In this work, we study the interplay between epidemic spreading and opinion dynamics on multiplex networks. An agent in the epidemic layer could remain in one of five distinct states, resulting in the SIRQD model. The agent’s attitude towards respecting the restrictions of the pandemic plays a crucial role in its prevalence. In our model, the agent’s point of view could be altered by either conformism mechanism, social pressure, or independent actions. As the underlying opinion model, we leverage the q-voter model. The entire system constitutes a coupled opinion–dynamic model where two distinct processes occur. The question arises of how to properly align these dynamics, i.e., whether they should possess equal or disparate timescales. This paper highlights the impact of different timescales of opinion dynamics on epidemic spreading, focusing on the time and the infection’s peak.     

Structure and magnetic anisotropy of Fe/Pt multilayers

A series of Fe/Pt multilayers prepared by magnetron sputtering have been studied by XRD, conversion electron Mössbauer spectroscopy (CEMS) and SQUID magnetometry. The samples with individual Fe thickness of 3 Å show orientation of the magnetic moment close to perpendicular to the film plane and Curie temperatures near 350 K. Interdiffusion at the interface is manifested in a distribution of hyperfine fields.     

Sensitive flotation-spectrophotometric determination of gold based on the gold(III)/bromide/rhodamine 6G system

A very flotation-spectrophotometric method based on the gold(III)/bromide/ tribromide/rhodamine 6G (R6G) system is described. In the presence of bromine, the dibromoderivative (R6G-Br) is formed. The gold compound is floated with di-isopropyl ether, washed with 1 M sulphuric acid and dissolved in methanol, and the absorbance of the solution is measured at 545 nm. The floated compounds is considered to be an adduct of the formula [(R6G-Br⁺)(AuBr^-₄)] · 12[(R6G-Br⁺)[Br^-₃)]. The apparent molar absorptivity is 11.4 × 10⁵] mol^-1 cm^-1. Important interference are Pd, Ag, Hg(II) and Tl(III), belong to the most interfering metals; after a preliminary extraction of gold from acidic bromide medium into di-isopropyl ether, only thallium(III) interferes significantly. The proposed method is applied to determining gold traces in a blister copper samle. Results obtained prove the good precision and accuracy of the method.     

Fast inversion algorithms of Toeplitz-plus-Hankel matrices

Summary The paper deals with the problems of fast inversion of matricesA=T+H, whereT is Toeplitz andH is Hankel. Several algorithms are presented and compared, among them algorithms working for arbitrary strongly nonsingular matricesA=T+H.     

The energy dependence of fusion in the 9Be+28Si system

The angular distributions of the energy spectra of the light charged particles (p, d and α) from the ⁹Be + ²⁸Si reaction have been measured in the energy range 12 ≦ E_lab ≦ 30 MeV. The particle evaporation spectra and the angular distributions were analyzed with a spin dependent statistical model. Angular distributions of ⁹Be ions elastically scattered on ²⁸Si have been measured at the energies 12 MeV, 17 MeV, 23 MeV and 30 MeV and were analysed, together with previously measured cross sections, with the optical model. The fusion cut-off angular momentum l_fus(E), the fusion cross section σ_fus(E) and the ratio σ_fus/σ_R^OM(E) were deduced. The excitation function for fusion was analyzed with the Glas and Mosel model. The parameters obtained from the fusion excitation function were compared with the corresponding ones from the ⁹Be + ²⁸Si optical-model interaction potential.     

On the Presumptive Similarity of Kohn–Sham and Brueckner Orbitals

For states of many-electron systems disclosing various degrees of quasidegeneracy, we have carried out comparative studies of Kohn–Sham orbitals (KSO) generated for several xc-potentials, Brueckner orbitals (BO) represented by the Brueckner-coupled cluster orbitals, and Hartree–Fock (HF) orbitals by means of criteria directly related to the orbital structure which are based on relative distance indices for various pairs of equidimensional subspaces defined by the KSO and BO basis sets. We have found that both for weak and strong quasidegeneracy there are systems for which the KSO–BO distances are larger than the BO–HF ones. For strongly quasidegenerate states it is found that the distance indices are the largest for hybrid potentials, and that the subspaces spanned by KSOs are closer to those spanned by HF orbitals than by BOs. Hence, our results do not support the recently formulated expectations concerning the similarity of Brueckner orbitals and Kohn–Sham orbitals, including those corresponding to purely local exchange-correlation potentials.     

On the mechanism of the gif system for the oxidation of saturated hydrocarbons

The high selectivity of the Gif system for hydrocarbon oxidation is shown to depend upon the capture of $\text{tert.}$ radicals by pyridine; the mechanism for the secondary oxidation products has only a minor radical component as judged by competitive trapping.     

Kinetic isotope effects of nitrogen and hydrogen in reaction of N-tert-butyl-P-phenylphosphonamidothioic acid with alcohols

Nitrogen and hydrogen isotope effects for the reaction of N-tert-butyl-P-phenylphosphonamidothioic acid 1 with alcohols (methanol, butanol, iso-propanol, tert-butanol) were measured in dichloromethane at 30 °C. The observed nitrogen isotope effect k₁₄/k₁₅ is only slightly sensitive to a steric hindrance of the alcohol [1.0070 ± 0.0002 (MeOH), 1.0074 ± 0.0004 (BuOH), 1.0062 ± 0.0004 (PrⁱOH), 1.0087 ± 0.0007 (Bu^tOH)]. The pre-equilibrium step, with proton transfer from oxygen to nitrogen was proved by the inverse hydrogen effect k_ROH/k_ROD[0.778 ± 0.052 (MeOH), 0.863 ± 0.063 (BuOH), 0.883 ± 0.080 (PrⁱOH), 0.746 ± 0.084 (Bu^tOH)]. The experimental values are consistent with theoretical results of semiempirical calculations on PM3 level for an elimination-addition mechanism and metathiophosphonate PhPSO intermediacy. For the reaction with methanol the addition-elimination mechanism is also possible.