137 research outputs found

    Nuclear descent from the fission barrier in the presence of long--range memory effects

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    We have investigated the peculiarities of nuclear descent from a parabolic fission barrier within a generalized Langevin equation with power--law f(tβˆ’tβ€²)=(∣tβˆ’tβ€²βˆ£/Ο„)βˆ’Ξ±f(t-t')=(|t-t'|/\tau)^{-\alpha} memory function. We have observed much stronger slowing down of the nuclear descent in the presence of long--range memory effects, caused by the power--law memory function at 0<Ξ±<10<\alpha<1, than in the presence of short--range memory effects, generated by exponential f(tβˆ’tβ€²)=exp(βˆ’βˆ£tβˆ’tβ€²βˆ£/Ο„)f(t-t')={\rm exp}(-|t-t'|/\tau) memory function. At a specific value of the exponent Ξ±=1/2\alpha=1/2 of the power--law memory function, it turned out possible to find analytically the trajectory of the descent and demonstrate that the long--range memory effects give rise to complex time oscillations of nuclear shape, becoming more frequent and damped with the correlation time Ο„\tau. We have found fairly long (>10βˆ’20Β s>10^{-20}~{\rm s}) times of the descent of 236U^{\rm 236}{\rm U} at the values of the correlation time Ο„βˆΌ[10βˆ’24Γ·10βˆ’23]Β s\tau \sim [10^{-24}\div 10^{-23}]~{\rm s}

    A simple approach to the chaos-order contributions in nuclear spectra

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    The simple one-parameter nearest neighbor-spacing distribution (NNSD) is suggested for statistical analysis of nuclear spectra. This distribution is derived within the Wigner-Dyson approach in the linear approximation for the level repulsion density of quantum states. The obtained NNSD gives the individual information on the Wigner and Poisson contributions in agreement with that of the statistical experimental distributions of collective states in deformed nuclei. Using this NNSD, one finds that the symmetry breaking due to the fixing of projections of the angular momentum of collective states enhances a chaos as a shift of the NNSD from the Poisson to Wigner distribution behavior.Comment: 6 pages, 3 figures. arXiv admin note: text overlap with arXiv:1711.0184

    ΠŸΠΎΠ»ΡƒΡ‡Π΅Π½ΠΈΠ΅ ΠΌΠ°Ρ‚Π΅Ρ€ΠΈΠ°Π»ΠΎΠ² Π½Π° основС сополимСра Π»Π°ΠΊΡ‚ΠΈΠ΄Π° ΠΈ Π³Π»ΠΈΠΊΠΎΠ»ΠΈΠ΄Π° для восстановлСния кровСносных сосудов

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    Π’ Ρ…ΠΎΠ΄Π΅ экспСримСнта Π±Ρ‹Π»ΠΈ ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Ρ‹ ΠΏΠ»Π΅Π½ΠΊΠΈ сополимСра Π»Π°ΠΊΡ‚ΠΈΠ΄Π° ΠΈ Π³Π»ΠΈΠΊΠΎΠ»ΠΈΠ΄Π° с Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹ΠΌΠΈ характСристиками повСрхности. Π‘ использованиСм ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΎΠ² ΡΠΊΠ°Π½ΠΈΡ€ΡƒΡŽΡ‰Π΅ΠΉ элСктронной микроскопии ΠΈ ΠΏΡ€ΠΎΡ„ΠΈΠ»ΠΎΠΌΠ΅Ρ‚Ρ€ΠΈΠΈ, Π° Ρ‚Π°ΠΊΠΆΠ΅ ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΎΠ² ИК-спСктроскопии установлСн состав, структура ΠΈ морфология повСрхности ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Π½Ρ‹Ρ… ΠΏΠΎΠ»ΠΈΠΌΠ΅Ρ€Π½Ρ‹Ρ… ΠΏΠ»Π΅Π½ΠΎΠΊ. Показано ΠΎΠ±Ρ€Π°Π·ΠΎΠ²Π°Π½ΠΈΠ΅ Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹Ρ… Π°Π³Ρ€Π΅Π³Π°Ρ‚ΠΎΠ² Π½Π° повСрхности ΠΏΠ»Π΅Π½ΠΎΠΊ Π² зависимости ΠΎΡ‚ способа ΠΎΠ±Ρ€Π°Π±ΠΎΡ‚ΠΊΠΈ ΠΌΠ°Ρ‚Π΅Ρ€ΠΈΠ°Π»Π°. УстановлСно, Ρ‡Ρ‚ΠΎ ΠΏΡ€ΠΈ ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½ΠΈΠΈ ΠΏΠ»Π΅Π½ΠΎΠΊ ΠΎΠ½ΠΈ частично ΠΏΠΎΠ΄Π²Π΅Ρ€Π³Π°ΡŽΡ‚ΡΡ Π³ΠΈΠ΄Ρ€ΠΎΠ»ΠΈΠ·Ρƒ, Π° ΡˆΠ΅Ρ€ΠΎΡ…ΠΎΠ²Π°Ρ‚ΠΎΡΡ‚ΡŒ ΠΎΠ±Ρ€Π°Π·Ρ†ΠΎΠ² зависит ΠΎΡ‚ способа ΠΎΠ±Ρ€Π°Π±ΠΎΡ‚ΠΊΠΈ

    Collective motion in quantum diffusive environment

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    The general problem of dissipation in macroscopic large-amplitude collective motion and its relation to energy diffusion of intrinsic degrees of freedom of a nucleus is studied. By applying the cranking approach to the nuclear many-body system, a set of coupled dynamical equations for the collective classical variable and the quantum mechanical occupancies of the intrinsic nuclear states is derived. Different dynamical regimes of the intrinsic nuclear motion and its consequences on time properties of collective dissipation are discussed.Comment: 15 pages, 5 figure
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