Inhomogeneous stationary states of two-dimensional magnetofluids

Stationary states of the two-dimensional nonlinear Schrödinger model with disorder

Boundary Integral Method for Stationary States of Two-dimensional Quantum Systems

The boundary integral method for calculating the stationary states of a quantum particle in nano-devices and quantum billiards is presented in detail at an elementary level. According to the method, wave functions inside the domain of the device or billiard are expressed in terms of line integrals of the wave function and its normal derivative along the domain’s boundary; the respective energy ...

Stationary structures in two - dimensional Heisenberg ferromagnets .

Stationary structures in two-dimensional Heisenberg ferromagnets. Abstract Stationary structures in a classical isotropic two-dimensional Heisenberg ferromagnetic are studied in the framework of the (2+1)-dimensional Landau-Lifshitz model. It is established that in the case of S(r, t) = S(r − vt) the Landau-Lifshitz equation is closely related to the Ablowitz-Ladik hierarchy. This relation is u...

Stabilities of one-dimensional stationary states of Bose-Einstein condensates

We explore the dynamical stabilities of a quasi-one dimensional (1D) Bose-Einstein condensate (BEC) consisting of fixed N atoms with time-independent external potential. For the stationary states with zero flow density the general solution of the perturbed time evolution equation is constructed, and the stability criterions concerning the initial conditions and system parameters are established...

Magnetic reconnection in a magnetosphere-accretion-disk system Axisymmetric stationary states and two-dimensional reconnection simulations

In the present paper we investigate the transport of accreting plasma across the magnetopause onto a strongly magnetized massive star (i.e. white dwarf or neutron star) by magnetic reconnection. A simplified axisymmetric magnetic field model of an aligned rotator is used to study the reconnection process. To be able to separate effects caused by instabilities of the system from intrinsic time-d...