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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. Source


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. Source


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. Source


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. Source


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. Source

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