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Tytuł:
The Method of Jacobi Last Multiplier for Integrating Nonholonomic Systems
Autorzy:
Zhang, Y.
Powiązania:
https://bibliotekanauki.pl/articles/1493586.pdf
Data publikacji:
2011-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
45.20.Jj
02.30.Hq
02.30.Rz
Opis:
In this paper, a new integral method of nonholonomic dynamical systems is put forward. The differential equations of motion of nonholonomic systems in phase space are established. The definition of the Jacobi last multiplier of the systems is given, and the relation between the Jacobi last multiplier and the first integrals of the systems is discussed. The researches show that the solution of the systems can be found by the last multiplier if the quantity of first integrals of the systems is sufficient. An example is given to illustrate the application of the results.
Źródło:
Acta Physica Polonica A; 2011, 120, 3; 443-446
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Buckling Analysis of a Rotationally Restrained Single Walled Carbon Nanotube
Autorzy:
Yayli, M.
Powiązania:
https://bibliotekanauki.pl/articles/1398664.pdf
Data publikacji:
2015-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Db
02.30.Nw
02.30.Hq
61.46.+w
Opis:
This paper presents an analytical formulation of nonlocal elasticity theory for the buckling analysis of simply supported carbon nanotubes with rotational springs at both ends. The lateral displacement function is represented by a Fourier sine series expansion. Stoke's transformation is applied to construct the coefficient matrix of the corresponding systems of linear equations. This matrix gives more flexibility in boundary conditions. The accuracy of proposed method is validated for three well-known boundary conditions available in the literature. A very good agreement has been obtained. The present method permits to have more efficient stability matrix for calculating the buckling loads of carbon nanotubes with any desired boundary conditions.
Źródło:
Acta Physica Polonica A; 2015, 127, 3; 678-683
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decay Kinetics from $\text{}^{4}$I $\text{}_{9}\text{}_{/}\text{}_{2}$ State of Mixed 2,6 Pyridine Dicarboxylate-Acetylacetonate Complexes
Autorzy:
Xie, R.-Q.
Flint, C. D.
Powiązania:
https://bibliotekanauki.pl/articles/1945621.pdf
Data publikacji:
1996-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
13.40.Hq
31.70.Ie
78.55.Hx
Opis:
The $\text{}^{4}$I $\text{}_{9}\text{}_{/}\text{}_{2}$ → $\text{}^{4}$I $\text{}_{15}\text{}_{/}\text{}_{2}$ luminescence decay curves for a series of complexes Er(pdc)$\text{}_{n}$(acac)$\text{}_{3-n}$ (pdc = pyridine-2,6-dicarboxylate, acac = acetylacetonate, n = 0, 1, 2, 3) as solids and in dilute aqueous solutions have been investigated. The decays are multiexponential, possible reasons for this and for the short lifetimes observed are discussed.
Źródło:
Acta Physica Polonica A; 1996, 90, 2; 323-325
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
EPR characteristics of activated carbon for hydrogen production by the thermo-catalytic decomposition of methane
Autorzy:
Więckowski, A.
Najder-Kozdrowska, L.
Rechnia, P.
Malaika, A.
Krzyżyńska, B.
Kozłowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/1158900.pdf
Data publikacji:
2016-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
33.35.+r
61.66.Hq
76.30.-v
82.30.Lp
82.65.+r
88.30.ej
Opis:
The electron paramagnetic resonance (EPR) method was used to characterize samples of activated coal before and after reactions of the catalytic decomposition of methane and ethanol at temperatures of 1023 K (750°C), 1123 K (850°C) and 1223 K (950°C). The EPR parameters: spectroscopic splitting factor g, peak-to-peak linewidth ΔBₚₚ, and spin concentration c were measured. During the ethanol-assisted catalytic decomposition of methane carbon-located-spin radicals are partially transformed into oxygen-located-spin radicals.
Źródło:
Acta Physica Polonica A; 2016, 130, 3; 701-704
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Energy Transfer to Trace Impurities in Cs$\text{}_{2}$NaY$\text{}_{1-x}$Pr$\text{}_{x}$Cl$\text{}_{6}$: Consequences for Interpretation of Emission Decay Curves
Autorzy:
Vasquez, S. O.
Flint, C. D.
Powiązania:
https://bibliotekanauki.pl/articles/1945620.pdf
Data publikacji:
1996-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
13.40.Hq
31.70.Hq
61.72.Ss
78.55.Hx
Opis:
We report the $\text{}^{3}$P$\text{}_{0}$ → $\text{}^{3}$H$\text{}_{4}$ and $\text{}^{3}$P$\text{}_{0}$ → $\text{}^{3}$H$\text{}_{4}$ luminescence decay curves of Cs$\text{}_{2}$NaY$\text{}_{1-x}$Pr$\text{}_{x}$Cl$\text{}_{6}$ at 20 K as a function of excitation wave number in the region of the transitions to the $\text{}^{3}$P$\text{}_{0}$ state near 20602 cm$\text{}^{-1}$, the $\text{}^{3}$P$\text{}_{1}$ state near 21200 cm$\text{}^{-1}$ and the six components of the $\text{}^{1}$I$\text{}_{6}$ state distributed over the region 21164 to about 22000 cm$\text{}^{-1}$. For x = 0.001 and excitation into the absorption maxima, the decay curves are independent of excitation wave number and of the emission transition monitored, and are exactly exponential. Excitation at regions of weak absorption between the main absorption bands produces markedly different decay curves characterised by a prominent very fast relaxation at short times and a long exponential tail. The fast decay is strongly non-exponential. On increasing the temperature, this fast process becomes less prominent, and it is not detectable in the 298 K curves. For x>=0.05 the fast process is not present at any temperature. We propose that this fast process is due to emission from PrCl$\text{}_{6}^{3-}$ ions perturbed by a nearby water molecule.
Źródło:
Acta Physica Polonica A; 1996, 90, 2; 315-322
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Investigations of Resorcinol under High Pressure
Autorzy:
Tydda, M.
Jasińska, B.
Powiązania:
https://bibliotekanauki.pl/articles/1196480.pdf
Data publikacji:
2014-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
78.70.Bj
36.10.Dr
61.66.Hq
Opis:
The investigation of intermolecular free volumes in resorcinol was conducted under high pressure, hydraulic pressure and gas (argon or nitrogen) atmosphere. The sizes of free volumes were estimated basing on the mean lifetime of ortho-positronium (o-Ps). In the first case, a monotonous change of lifetime and intensity was observed for the o-Ps component while the range of pressure was 0-477 MPa. On the other case, the samples were put into the pressure chamber filled with argon or nitrogen in the range of pressure from 0 to 450 MPa. When the pressure chamber was filled with a gas, the appearance of an additional o-Ps component has been found. In the nitrogen atmosphere, the material crushed when the gas pressure reached about 200 MPa, and the mean lifetime of the longest o-Ps component increased.
Źródło:
Acta Physica Polonica A; 2014, 125, 3; 812-815
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dependence of Order and Dynamics in Polymers and Elastomers under Deformation Revealed by NMR Techniques
Autorzy:
Stapf, S.
Kariyo, S.
Powiązania:
https://bibliotekanauki.pl/articles/2043553.pdf
Data publikacji:
2005-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
81.05.Lg
82.35.Lr
76.60.-k
61.25.Hq
36.20.Ey
81.40.Lm
Opis:
Uniaxial stretching and swelling are considered as two limiting cases of deformations of elastomers. Under both conditions, the molecular dynamics is changed with respect to the behavior that describes the undisturbed, equilibrium elastomer. Particularly the spectrum of segmental motions, which reveals itself in the frequency-dependence of the longitudinal NMR relaxation time, is discussed in this study, but also order effects expressed via the dipolar coupling strength are investigated. For stretched elastomers, a significant change of the relaxation dispersion is found for three different types of rubber; it is a consequence of a change of the mode spectrum of segmental motions that becomes obvious at low frequencies (below 1 MHz at room temperature). In swollen elastomers, on the other hand, a cross-over towards a behavior expected for semi-dilute solutions is found, and a comparison to solutions of uncross-linked polymers reveals a significant effect of the cross-links only in the kHz range. A much more pronounced difference between elastomers and polymer solutions, however, is found from double-quantum encoded NMR measurements where the residual order introduced by the presence of permanent cross-links is maintained even in the presence of solvent.
Źródło:
Acta Physica Polonica A; 2005, 108, 2; 247-259
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
EPR Evidence for Thermally Excited Triplet States in Exinite, Vitrinite and Inertinite Separated from Bituminous Coal
Autorzy:
Słowik, G. P.
Wojtowicz, W.
Więckowski, A. B.
Powiązania:
https://bibliotekanauki.pl/articles/2043436.pdf
Data publikacji:
2005-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
61.66.Hq
76.30.Rn
87.64.Hd
Opis:
In this work we have made an electron spin resonance (EPR) study of macerals obtained from the lithotype clarain separated from Polish medium-rank coal (85.6 wt.% C). For three macerals:~exinite, vitrinite, and inertinite, the temperature dependence of intensity of EPR spectra in the temperature range of 100-373 K was investigated. The experimentally obtained EPR spectra of macerals were fitted by curves of the derivatives of the Gaussian and Lorentzian functions. The best fitting was obtained, when the experimental EPR spectra were assumed to be a superposition of three lines, for exinite and vitrinite - a broad Gaussian (G), a broad Lorentzian (L1) and a narrow Lorentzian (L3) line, but for inertinite of two lines - a narrow Lorentzian (L2) and a narrow Lorentzian (L3) line. The computer-assisted fitting has shown that each individual component line has similar values of resonance field, but different linewidths and amplitudes. The temperature dependence of line intensity I of the broad Gaussian (G) and narrow Lorentzian (L2 and L3) lines fulfils the Curie law in the form I=C/T or IT=C, whereas the broad Lorentzian (L1) line does not fulfil the Curie law. In the last case the temperature dependence of the Lorentzian (L1) component was fitted by the relation I=C/T+B/[T(3+exp(J/kT))] or IT=C+B/[3+exp(J/kT))], valid for thermally excited triplet states (S=1). For exinite and vitrinite the curves presenting the temperature dependence of the product IT versus temperature T were resolved into two curves, one for paramagnetic centres in the doublet state (S=1/2), and the other for paramagnetic centres in the thermally excited triplet state (S=1).
Źródło:
Acta Physica Polonica A; 2005, 108, 1; 171-176
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Paramagnetic Centres in Coal Macerals
Autorzy:
Słowik, G.
Więckowski, A.
Powiązania:
https://bibliotekanauki.pl/articles/1536501.pdf
Data publikacji:
2010-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
61.66.Hq
76.30.Rn
89.30.ag
Opis:
The electron paramagnetic resonance (EPR) study of coal macerals: exinite, vitrinite and inertinite separated from clarain of the Polish medium-rank coal with carbon content of 85.6 wt% C, were performed. Using the continuous microwave saturation technique (measurements at 223 K and 291 K), as a result of numerical analysis of recorded EPR spectra of exinite, vitrinite and inertinite, their multi-component structure was shown. The EPR spectra of exinite and vitrinite consist of three component lines: one Gaussian G and two Lorentzians: L1 and L3. The EPR spectra of inertinite consist of two narrow lines with Lorentzian line shape L2 and L3. Temperature measurements of studied coal macerals in the range 100-373 K were done. It was evidenced that, in group of paramagnetic centres responsible for Lorentzian L1 component line, paramagnetic centres with thermally excited triplet states (S = 1) exist. Existence of paramagnetic centres with thermally excited triplet states was not observed in inertinite.
Źródło:
Acta Physica Polonica A; 2010, 118, 3; 507-510
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Monte Carlo Study of Chain Entanglements in Polymer MeltDOI
Autorzy:
Sikorski, A.
Romiszowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/2028878.pdf
Data publikacji:
2001-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.50.Ng
61.25.Hq
Opis:
The new multibond algorithm for the Monte Carlo simulations of polymers developed for an isolated chain was extended for the case of dense polymer melts. Polymer chains were confined to a simple cubic lattice with excluded volume and no attractive interactions (good solvent conditions). The simulations were carried out by the means of the classical Metropolis scheme. The algorithm was verified by the analysis of static and dynamic properties of polymer melts. The dependence of the longest relaxation time and the self-diffusion coefficient on the chain length and the polymer concentration was discussed and the proper scaling laws were formulated. The number of entanglements, their distribution, and lifetimes were determined for different chain lengths and melt concentrations using the new algorithm.
Źródło:
Acta Physica Polonica A; 2001, 100, 4; 477-484
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Properties of Confined Polymer Melts
Autorzy:
Sikorski, A.
Powiązania:
https://bibliotekanauki.pl/articles/2041818.pdf
Data publikacji:
2005-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.50.Ng
36.20.Ey
61.25.Hq
Opis:
Properties of simple models of confined linear polymer chains were studied by means of the Monte Carlo method. Model chains were built of united atoms (statistical segments) and embedded to a simple cubic lattice. Then polymers were put into a slit formed by two parallel impenetrable surfaces. Chain lengths were varied up to 800 segments and the density of the polymer melt was changed up to 0.5. A Metropolis-like sampling Monte Carlo algorithm was used to determine the static properties of this model. The influence of the size of the confinement, the polymer melt concentration and the chain length on the chain's size and the structure was studied. The universal behavior of all confined polymer linear chains under consideration was found and discussed.
Źródło:
Acta Physica Polonica A; 2005, 107, 3; 443-450
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Structure of Dense Polymer Systems Confined to a Slit
Autorzy:
Sikorski, A
Powiązania:
https://bibliotekanauki.pl/articles/2044630.pdf
Data publikacji:
2006-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.50.Ng
05.10.Ln
61.25.Hq
Opis:
The linear polymer chains were approximated as series of identical segments on a simple cubic lattice. The excluded volume was included into the model with no attractive interactions which corresponded to the good solvent conditions. The polymer chains were put into a slit formed by a pair of parallel surfaces. These walls were impenetrable for polymer segments and no other interactions between walls and chains were assumed. The models chains were studied by the means of the Monte Carlo method. The sampling algorithm was Metropolis-type and employing micromodifications of chain's conformation to sample efficiently the conformational space. The influence of the chain length, density of the polymer system, and the distance between the surfaces on the shape of macromolecules was studied. It was found that the decrease in the size of the slit and the decrease in the polymer density led to the formation of more spherical macromolecules. This is partially caused by the interpenetration of polymer chains.
Źródło:
Acta Physica Polonica A; 2006, 109, 2; 133-141
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Shape of Confined Polymer Chains
Autorzy:
Sikorski, A.
Powiązania:
https://bibliotekanauki.pl/articles/2035734.pdf
Data publikacji:
2003-04
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.50.Ng
05.10.Ln
61.25.Hq
Opis:
The linear polymer chains were modeled on a simple cubic lattice. The excluded volume was included into the model while the system remained athermal (no attractive interactions) which simulated the good solvent conditions. The polymer chain was located between two parallel impenetrable walls and the distance between the walls was changing. No interaction between walls and polymer segments was assumed. These models of polymer chains were simulated by the means of the Monte Carlo method. In the sampling algorithm we used the micromodifications of chain's conformations to sample efficiently the conformational space. The size of the chain did not change monotonically for all lengths under consideration (up to 800 statistical segments). For distances between the plates close to the double value of chain's radius of gyration the size of the chain approached its minimum value. It was shown that scaling of chain dimensions with its length changed from N$\text{}^{1.18}$ to N$\text{}^{1.5}$ while the distance between the walls was decreasing. The behavior of the asymmetry of the chain was found to be analogous to that of the radius of gyration.zapisz i p
Źródło:
Acta Physica Polonica A; 2003, 103, 4; 339-347
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł

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