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Wilk G.,National Center for Nuclear Research | Wlodarczyk Z.,Jan Kochanowski University
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics | Year: 2013

Using a Tsallis nonextensive approach, we simultaneously analyze recent data obtained by the LHC ATLAS experiment on distributions of transverse momenta of jets, pTjet, together with distributions of transverse momenta of particles produced within these jets (defined relative to the jet's axis), pTrel, and their multiplicity distributions, P(N). The respective nonextensivity parameters for distributions of jets, qjet, for distributions of particles in jets, qrel and the global nonextensivity parameter obtained from P(N), qN, were then compared with nonextensivity parameters q obtained from minimum bias pp collisions at energies corresponding to the energies of these jets. The values of the corresponding nonextensivity parameters were found to be similar, strongly indicating the existence of a common mechanism behind all these processes. We tentatively identify this as a self-similarity property known to be present there and resulting in Tsallis type distributions. If confirmed, this would considerably strengthen the nonextensive Tsallis approach. © 2013 Elsevier B.V.

Galuszka A.,Jan Kochanowski University | Migaszewski Z.,Jan Kochanowski University | Namiesnik J.,Technical University of Gdansk
TrAC - Trends in Analytical Chemistry | Year: 2013

The current rapid development of green analytical chemistry (GAC) requires clear, concise guidelines in the form of GAC principles that will be helpful in greening laboratory practices. The existing principles of green chemistry and green engineering need revision for their use in GAC because they do not fully meet the needs of analytical chemistry.In this article we propose a set of 12 principles consisting of known concepts (i.e. reduction in the use of reagents and energy, and elimination of waste, risk and hazard) together with some new ideas (i.e. the use of natural reagents), which will be important for the future of GAC. © 2013 Elsevier Ltd.

Bozek P.,AGH University of Science and Technology | Bozek P.,Polish Academy of Sciences | Broniowski W.,Polish Academy of Sciences | Broniowski W.,Jan Kochanowski University
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics | Year: 2013

Two-particle correlations in relative rapidity and azimuth are studied for the pPb collisions at the LHC energy of sNN=5.02 TeV in the framework of event-by-event (3. +. 1)-dimensional viscous hydrodynamics. It is found that for the highest-multiplicity events the observed ridge structures appear in a natural way, suggesting that collective flow may be an important element in the evolution of the system. We also discuss the role of the charge balancing and the transverse-momentum conservation. © 2012 Elsevier B.V.

Koscik P.,Jan Kochanowski University
Physics Letters, Section A: General, Atomic and Solid State Physics | Year: 2015

We study one-dimensional systems of N particles in a one-dimensional harmonic trap with an inverse power law interaction ∼|x|-d. Within the framework of the harmonic approximation we derive, in the strong interaction limit, the Schmidt decomposition of the one-particle reduced density matrix and investigate the nature of the degeneracy appearing in its spectrum. Furthermore, the ground-state asymptotic occupancies and their natural orbitals are derived in closed analytic form, which enables their easy determination for a wide range of values of N. A closed form asymptotic expression for the von Neumann entanglement entropy is also provided and its dependence on N is discussed for the systems with d = 1 (charged particles) and with d = 3 (dipolar particles). © 2014 Elsevier B.V. All rights reserved.

Zubkova V.,Jan Kochanowski University
Analytical and Bioanalytical Chemistry | Year: 2011

The use of chromatography in studies of coals, their progenitors and coal-related products was reviewed. The specificity of the coal structure was discussed. The use of extraction in preparing study samples was discussed paying special attention to the occurrence of undesirable phenomena such as aggregation of coal derivate molecules, resulting from the formation of their dimers and trimers, and degradation of polar solvents at temperatures above 350 °C. The following ways of fractionating samples of coal materials were considered: thermal, solvent, column with the use of preparative size exclusive chromatography and preparative thin layer chromatography as well as membrane separation. The use of chromatography coupled with experimental techniques such as mass spectrometry, infrared spectroscopy, matrix-assisted laser desorption/ionization time-of-flight mass spectrometry and pyrolysis was analysed. © Springer-Verlag 2010.

Koscik P.,Jan Kochanowski University
Physics Letters, Section A: General, Atomic and Solid State Physics | Year: 2013

We study a system of two Coulombically interacting electrons in an external harmonic potential in the presence of an on-centre Coulomb impurity. Detailed results for the dependencies of the reduced von Neumann entropy on the control parameters of the system are provided for both the ground state and the triplet S states with the lowest energy. Among other features, it is found that in the weak confinement regime the entanglement is strongly affected by the presence of an acceptor impurity. © 2013 Elsevier B.V.

Kosztolowicz T.,Jan Kochanowski University
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | Year: 2014

Subdiffusion in a system in which mobile particles A can chemically react with static particles B according to the rule A+B→B is considered within a persistent random-walk model. This model, which assumes a correlation between successive steps of particles, provides hyperbolic Cattaneo normal diffusion or fractional subdiffusion equations. Starting with the difference equation, which describes a persistent random walk in a system with chemical reactions, using the generating function method and the continuous-time random-walk formalism, we will derive the Cattaneo-type subdiffusion differential equation with fractional time derivatives in which the chemical reactions mentioned above are taken into account. We will also find its solution over a long time limit. Based on the obtained results, we will find the Cattaneo-type subdiffusion-reaction equation in the case in which mobile particles of species A and B can chemically react according to a more complicated rule. © 2014 American Physical Society.

Tinti L.,Jan Kochanowski University
Physical Review C - Nuclear Physics | Year: 2015

In this work I develop a new framework for anisotropic hydrodynamics that generalizes the leading order of the hydrodynamic expansion to the full (3+1)-dimensional anisotropic massive case. Following previous works, my considerations are based on the Boltzmann kinetic equation with the collisional term treated in the relaxation time approximation. The momentum anisotropy is included explicitly in the leading term, allowing for a large difference between the longitudinal and transverse pressures as well as for nontrivial transverse dynamics. Energy and momentum conservation is expressed by the first moment of the Boltzmann equation. The system of equations is closed by using the zeroth and second moments of the Boltzmann equation. The close-to-equilibrium matching with second-order viscous hydrodynamics is demonstrated. In particular, I show that the coupling between shear and bulk pressure corrections, recently proved to be important for an accurate description of momentum anisotropy and bulk viscous dynamics, does not vanish in the close-to-equilibrium limit. © 2015 American Physical Society.

Koscik P.,Jan Kochanowski University
Physics Letters, Section A: General, Atomic and Solid State Physics | Year: 2011

We study a two-dimensional system of two Coulombically interacting electrons in an external harmonic confining potential. More precisely, we present calculations for the singlet ground-state of the system. We explain the nature of the degeneracy in the spectrum of the reduced density matrix and provide detailed results for the dependencies of the entanglement on the interaction strength. Among other features, it is indicated that in the limit of an infinitely strong interaction, the angular and radial correlations are asymptotically independent of each other. Appearing in this limit, the pure radial correlation effects are quantitatively investigated for the first time. © 2010 Elsevier B.V. All rights reserved.

The composition of the transparent heavy-mineral assemblages (0.25-0.1 mm) in Quaternary slope, karst, glacial, fluvioglacial and fluvial deposits with different parent material was investigated in the Kielce-Lagów Valley (the central part of the Palaeozoic core of the Holy Cross Mountains). For the purpose, 93 samples of mostly sandy sediments were examined. Some marker and some supporting minerals can be distinguished. Slope and karst deposits are dominated by the abrasion-resistant minerals zircon, tourmaline, staurolite and rutile. This assemblage points at a source consisting of strongly weathered pre-Quaternary bedrock. Glacial and fluvioglacial deposits are dominated by medium-resistant and non-resistant minerals (garnet, amphibole, pyroxene and biotite). The two types of parent material of the heavy minerals are typical of the Quaternary deposits in the Polish uplands. The two sources are most clear in the younger (Vistulian and Holocene), mostly fluvial sediments. The results of the analysis imply that the impact of Pleistocene glaciers on the central part of the Holy Cross Mountains was neither large enough to hide the local mineralogical background, nor sufficient to dominate over the main processes transforming the mineral composition under the variable climatic conditions of the Quaternary, including aeolian processes and chemical weathering.

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