Separability of Mixed Quantum States: Linear Contractions and Permutation Criteria

Recently, a powerful separability criterion was introduced by O. Rudolf in [5] and by K. Chen et al. in [6] – basing on realignment of elements of density matrix. Composing the main idea behind the above criterion and the necessary and sufficient condition in terms of positive maps, we provide a characterization of separable states by means of linear contractions. The latter need not be positive maps. We extend the idea to multipartite systems, and find that, somewhat suprisingly, partial realigment (unlike partial transposition) can detect genuinely tri-parite entanglement. We generalize it by introducing a family of so called permutation separability criteria for multipartite states. Namely, any permutation of indices of density matrix written in product basis leads to a separability criterion. Partial transpose and realignment criterion are special cases of permutation criteria. An early version of the present paper has appeared in e-print archive as quant-ph/0206008. The premutation criterion has been then further developed in [23, 24, 25], where the problem of classification of inequivalent permutation criteria has been investigated.     

Changes in quantities of inositol phosphates during maturation and germination of legume seeds

 The changes in the quantities of inositol phosphates during the maturation and germination of pea, faba bean and lupin seeds were determined in two consecutive (1993 and 1994) years of differing weather conditions. Irrespective of the year, all seeds accumulated predominantly inositol hexaphosphate (IP₆). The weather conditions influenced the accumulation of inositol phosphates in maturing seeds, but they did not influence the total content. Gradual degradation of inositol phosphates occurred during seed germination. After 8 days of germination, IP₆ was degraded by some 80% in peas, 78% in faba beans and 42% in lupin seeds. The enzymic hydrolysis of higher forms of inositol phosphates (IP₆ and IP₅) in germinating seeds was assumed to yield inositol tetraphosphate (IP₄) and inositol triphosphate (IP₃), because the quantities of these compounds increased during seed germination. Received: 1 August 1997 / Revised version: 13 October 1997     

Decision support systems based on the Life Cycle Inventory for Municipal Solid Waste management under uncertainty

Life Cycle Inventory (LCI) – part of a Life Cycle Assessment (LCA) method – was used to evaluate two scenarios for waste to energy gasification plants based on the American (design at 200 T/D) and Australian (design at 240 T/D) gasification technologies including a 15‐year income statement projection. The paper uses stochastic modeling based on the internal rate of return (IRR) and net present value (NPV) values of the new and actual equipment. The Monte Carlo simulation with the Excel spreadsheet and Crystal Ball^® software was used to develop scenarios for uncertainty inputs. The sensitivity analysis and frequency charts represent the Crystal Ball^® output and simulation results.     

New calcium‐free Na2O–Al2O3–P2O5 bioactive glasses with potential applications in bone tissue engineering

Sodium aluminophosphate glasses were evaluated for their bone repair ability. The glasses belonging to the system 45Na₂O–xAl₂O₃‐(55‐x)P₂O₅, with x = (3, 5, 7, 10 mol%) were prepared by a melt‐quenching method. We assessed the effect of Al₂O₃ content on the properties of Na₂O–Al₂O₃–P₂O₅ (NAP) glasses, which were characterized by density measurements, DSC analyses, solubility, bioactivity in simulated body fluid and cytocompatibility with MG‐63 cells. To the best of our knowledge, this is the first investigation of calcium‐free Na₂O–Al₂O₃–P₂O₅ system glasses as bioactive materials for bone tissue engineering.     

Effects of Forming Pressure on Physicochemical Properties of YBCO Ceramics

This article details the solid-state synthesis of high-temperature superconducting YBa₂Cu₃O_7?x. Tests were carried out on samples formed at different pressures (200, 400, 600 and 800 MPa) before being annealed under pure oxygen. The X-ray diffraction method showed that, regardless of the forming pressure, the samples contain about 97 wt.% of Y-123 phase. SEM images showed a polycrystalline structure of samples of similar grain size and number of pores (intergranular spaces). The values of critical temperatures (T_c0), determined from magnetoresistance measurements, are about 91.5 K for all samples, and the T_c0 temperatures do not depend on sample-forming pressure. Magnetoresistance measurements have shown that samples formed with higher pressures exhibit smaller changes in T_c0 and superconducting transition width ΔT due to the influence of the H_DC magnetic field, than the samples formed with lower pressures. Values of specific resistance determined by the use of van der Pauw method at 300 K is about 2 mΩcm for all samples. The critical temperatures (T cintra) of grains and critical current densities at 77 K were determined from AC magnetic susceptibility measurements, and they are about 91.6 K and 400 A cm^?2, respectively.     

Assessment of aliphatic poly(ester-carbonate-urea-urethane)s potential as materials for biomedical application

Selected mechanical and biological properties of biodegradable elastomeric poly(ester-carbonate-urea-urethane)s (PECUUs) point towards their potential to be applied as scaffolds in tissue engineering. Here we explore their medical applicability taking into account their hemocompatibility and cytotoxicity. The influence of the ester monomer (derivatives of adipic and succinic acids), as well as diisocyanate type (IPDI and HDI) on the investigated PECUUs properties is presented. The presence of aliphatic diisocyanates, cyclic IPDI or linear HDI, governs the adhesion of Candida cells to these polymers offering the possibility to control the biofilm formation on their surface. In comparison to the linear form, cyclic diisocyanates with pentamethylene succinate or adipate fragments had two to three times lower biofilm mass formation on their surface. Reduced hemoglobin release from red blood cells observed during incubation of tested polymers with human erythrocytes suspension indicates their potential biocompatibility with human tissues. PECUUs were also able to support the growth of human keratinocytes HaCaT on their surface when coated with collagen. In effect, IPDI derivatives might possess a high potential for use in biomedical applications.     

Structure and properties of polyamides‐epoxidized elastomers blends

Blends of aliphatic polyamides (PA6, PA66, and PA12), containing 0–15 wt % nonepoxidized or epoxidized elastomers (statistical copolymer butadiene–styrene BS/EBS or linear block copolymer styrene–butadiene–styrene SBS/ESBS) were investigated. For PA6‐elastomer blends, taken as an example, it was shown that with increasing blending time, mechanical properties of blends increase, especially, if ESBS copolymer is used. It can be treated as an indirect sign of reactions between components. It was also found that in blends considerable changes of glass temperatures of components occur. Polyamides in blends with elastomers have smaller heats of fusion in comparison with virgin polyamides. It testifies to hindering of PA crystallization by elastomers. In some cases, significant shifts of melting points are also observed. Measurements of water contact angle show that all blends have very similar values of contact angles, which are lower than those of virgin polyamides. Elastomer content does not also affect the blend water uptake. However, it depends on the polyamide and elastomer type contrary to contact angle. Highest water uptake changes are observed in blends of PA66, especially for epoxidized elastomers. © 2005 Wiley Periodicals, Inc. J Appl Polym Sci 99: 1872–1879, 2006     

Exergetic analysis of atomization process of liquid

The exergy balance equation for liquid atomization is discussed and exergetic efficiency of atomization is defined. On the basis of data taken from the literature some calculations of this efficiency have been carried out for the most widespread cases of atomization, i.e., for pressure and pneumatic atomization. The efficiency is low and does not exceed 1%. Some recommendations about how to carry out the full analysis of all items of the exergetic balance have been made. The results of such an analysis would give some indication of possible improvements in atomizer design and operating parameters.