Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

Wyszukujesz frazę "ground state" wg kryterium: Temat


Tytuł:
Ground states for fractional nonlocal equations with logarithmic nonlinearity
Autorzy:
Guo, Lifeng
Sun, Yan
Shi, Guannan
Tematy:
linking theorem
ground state
logarithmic nonlinearity
variational methods
Pokaż więcej
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:
https://bibliotekanauki.pl/articles/2048894.pdf  Link otwiera się w nowym oknie
Opis:
In this paper, we study on the fractional nonlocal equation with the logarithmic nonlinearity formed by $$\begin{cases}\mathcal{L}_{K} u(x)+u \log |u|+|u|^{q-2} u=0, & x \in \Omega \\ u=0, & x \in \mathbb{R}^{n} \backslash \Omega\end{cases}$$ where 2 < q < 2∗s, LK is a non-local operator, Ω is an open bounded set of Rn with Lipschitz boundary. By using the fractional logarithmic Sobolev inequality and the linking theorem, we present the existence theorem of the ground state solutions for this nonlocal problem.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ferroelectric nematic phase in the system of perfectly aligned cylindrically symmetric rods
Autorzy:
Chrzanowska, Agnieszka
Longa, Lech
Opis:
The recent experimental discovery of ferroelectric and splay nematic phases has sparked interest in comprehending the crucial molecular features necessary to stabilise these innovative structures. This study advances the ongoing discourse by investigating the significance of both molecular elongation and the distribution of molecular dipoles along the main molecular axis. Using Density Functional Theory, we have established that a molecular shape characterised by cylindrical symmetry and the presence of strong parallel dipoles along the symmetry axis can lead to the self-assembly of a ferroelectric nematic, which is more stable than the conventional uniaxial nematic phase. Additionally, for simple D$_{∞⁢h}$-symmetric shapes and two dipoles per molecule we provide criteria for achieving an optimal dipole distribution along the molecular axis.
Dostawca treści:
Repozytorium Uniwersytetu Jagiellońskiego
Artykuł
Tytuł:
Fractional p&q-Laplacian problems with potentials vanishing at infinity
Autorzy:
Isernia, Teresa
Tematy:
fractional p&g-Laplacian
vanishing potentials
ground state solution
Pokaż więcej
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:
https://bibliotekanauki.pl/articles/254783.pdf  Link otwiera się w nowym oknie
Opis:
In this paper we prove the existence of a positive and a negative ground state weak solution for the following class of fractional p&g-Laplacian problems [formula] where [formula]and [formula] are continuous, positive functions, allowed for vanishing behavior at infinity, ƒ is a continuous function with quasicritical growth and the leading operator [formula] , with t ∈ {p, q}, is the fractional t-Laplacian operator.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ground states of coupled critical Choquard equations with weighted potentials
Autorzy:
Zhu, Gaili
Duan, Chunping
Zhang, Jianjun
Zhang, Huixing
Tematy:
ground state
Choquard equations
Hardy-Littlewood-Sobolev inequality
lower critical exponent
Pokaż więcej
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:
https://bibliotekanauki.pl/articles/2048890.pdf  Link otwiera się w nowym oknie
Opis:
In this paper, we are concerned with the following coupled Choquard type system with weighted potentials [formula] where N ≥ 3, μ1, μ2, β > 0 and V1(x), V2(x) are nonnegative functions. Via the variational approach, one positive ground state solution of this system is obtained under some certain assumptions on V1(x), V2(x) and Q(x). Moreover, by using Hardy’s inequality and one Pohozǎev identity, a non-existence result of non-trivial solutions is also considered.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Time evolution of the haldane state after a quantum quench
Autorzy:
Woźniak, D.
Drzewiński, A.
Kamieniarz, G.
Tematy:
computational statistical mechanics
ground state
dynamical properties of magnetic chains
Pokaż więcej
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Powiązania:
https://bibliotekanauki.pl/articles/122340.pdf  Link otwiera się w nowym oknie
Opis:
In the framework of the Matrix Product States representation the effect of a sudden quench of the uniaxial anisotropy on the time evolution of the Haldane state has been investigated. The existence of the non-vanishing string correlations in the limit of a large distance in the Haldane phase has been verified. The overlap of the initial and time-evolved states, the so-called Loschmidt echo, has been investigated.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modified Phenomenological Formula for the Ground State Energy of Light Nuclei
Autorzy:
Chemogos, P. K.
Muguro, K. M.
Khanna, K. M.
Tematy:
binding energy
ground state energy
isotopes
light nuclei
liquid drop model
Pokaż więcej
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Powiązania:
https://bibliotekanauki.pl/articles/1046531.pdf  Link otwiera się w nowym oknie
Opis:
A modified phenomenological formula for the ground state binding energy in the region of light nuclei is proposed. Since binding energy is proportional to the volume of a nuclide, the new formula contains a volume term proportional to the mass number A and expresses asymmetry energy and coulomb repulsion energy between protons in a much simpler form than the way it is presented in the liquid drop model. The formula is used to calculate nuclear binding energy using three terms only, namely mass number A, neutron number, N and atomic number, Z. The correspondence with the conventional Liquid drop model and with the experimental results is highly satisfactory for light nuclei. Considering a set of 60 light nuclei for A≤55, the formula yields root mean square deviation of 0.541 MeV, with respect to experimental values. This is better than conventional Liquid drop model which gives a root mean square deviation of 3.485 MeV over the same range of nuclei. The value of f is comparatively smaller for even-odd nuclei when compared to the corresponding even-even nuclei. Thus even-even nuclei are more strongly bound than odd-odd or even-odd nuclei making them more stable.
Dostawca treści:
Biblioteka Nauki
Artykuł

Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies