. pl as m - p h ] 1 2 Ju l 1 99 9 Two Time - dependent Solutions of Magnetic field Annihilation in Two Dimensions
نویسندگان
چکیده
In this paper, two classes of exact analytic time-dependent soultion of magnetic annihilation for incompressible magnetic fluid, have been obtained by solving the magnetohydro-dynamic (MHD) equations directly. The solutions derived here possess scaling property with time t as the scale factor. Based on these two solutions, we find that, for some given inflow fields, the evolution of the annihilating magnetic field can be described by the solutions of certain ordinary differential equations whose variables are dilated simply by time t. The relevant evolution characteristics in the process of magnetic annihilation are also revealed.
منابع مشابه
/ 92 06 04 9 v 1 1 1 Ju n 19 92 Explicit Solution to the N - body Calogero problem USITP - 92 - 5 May 1992
We solve the N-body Calogero problem, i.e. N particles in 1 dimension subject to a two-body interaction of the form 1 2 ∑ i,j[(xi − xj) + g/(xi − xj)], by constructing annihilation and creation operators of the form ai = 1 √ 2 (xi±ip̂i), where p̂i is a modified momentum operator obeying Heisenberg-type commutation relations with xi, involving explicitly permutation operators. On the other hand, D...
متن کاملInfluences of magnetic field in viscoelastic fluid
This communication influences on magnetohydrodynamic flow of viscoelastic fluid with magnetic field induced by oscillating plate. General solutions have been found out for velocity and shear stress profiles using mathematical transformations (Integral transforms). The governing partial differential equations have been solved analytically under boundary conditions u(0,t)=A_0 H(t)sinΩt and u(0,t)...
متن کاملar X iv : c on d - m at / 9 50 71 34 v 1 3 1 Ju l 1 99 5 Variational approach to the dilute Bose gas
We study the weakly-interacting Bose gas in both two and three dimensions using a variational approach. In particular we construct the thermodynamic potential of the gas to within ladder approximation and find by minimization an accurate mean-field description of the dilute Bose gas. Using spin-polarized atomic hydrogen as a specific example, we obtain an improved description of the Bose-Einste...
متن کاملX iv : c on d - m at / 9 60 70 78 v 1 1 1 Ju l 1 99 6 Front localization in a ballistic annihilation model . Pierre - Antoine Rey and Michel Droz
We study the possibility of localization of the front present in a one-dimensional ballistically-controlled annihilation model in which the two annihilating species are initially spatially separated. We construct two different classes of initial conditions, for which the front remains localized.
متن کاملar X iv : h ep - t h / 99 06 15 7 v 1 2 1 Ju n 19 99 Quantum Davey - Stewartson 1 System with Two Components in Two Dimensions ∗
The quantum 2-component DS1 system in two dimensions has been reduced to two 2-component many-body problems both in one dimension by an analogue of the method of separation of variables. The solutions to 2 dimensional problem under consideration can be constructed from the resulting problem in one dimensions. For latters with the δ-function interactions and being solved by the Bethe ansatz, we ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999