First integrals of the one-dimensional quantum ising model with transverse magnetic field

1981 ◽  
Vol 47 (2) ◽  
pp. 426-434 ◽  
Author(s):  
V. V. Anshelevich ◽  
E. V. Gusev
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Transverse Magnetic Field ◽  
Transverse Magnetic ◽  
First Integrals ◽  
One Dimensional ◽  
Quantum Ising Model ◽  
The One

Channel-Flow of Conducting Fluids Under an Applied Transverse Magnetic Field

1964 ◽  
Vol 31 (2) ◽  
pp. 165-169 ◽  
Author(s):  
Apostolos E. Germeles
Keyword(s):  
Magnetic Field ◽  
Transverse Magnetic Field ◽  
Electromagnetic Flowmeter ◽  
Steady State Solution ◽  
Transverse Magnetic ◽  
Two Dimensional ◽  
One Dimensional ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
The One

The most general steady state solution is derived for the laminar flow of an incompressible, viscous and electrically conducting fluid in a one-dimensional channel under an applied transverse magnetic field. The channel can act as an electromagnetic flowmeter or pump. The effect of the conductivity of the walls is included. The solution has two unknown constants and, by choosing them properly, it can be made to fit the solution of all two-dimensional channels whose geometry approaches in the limit that of the one-dimensional channel. This is done in detail for the two-dimensional channels with rectangular and annular cross-section.

Investigation of the Finite Size Properties of the Ising Model Under Various Boundary Conditions

2020 ◽  
Vol 75 (2) ◽  
pp. 175-182
Author(s):  
Magdy E. Amin ◽  
Mohamed Moubark ◽  
Yasmin Amin
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Boundary Conditions ◽  
Finite Size ◽  
Scaling Functions ◽  
Finite Size Scaling ◽  
One Dimensional ◽  
Various Boundary Conditions ◽  
The One ◽  
Bulk Case

AbstractThe one-dimensional Ising model with various boundary conditions is considered. Exact expressions for the thermodynamic and magnetic properties of the model using different kinds of boundary conditions [Dirichlet (D), Neumann (N), and a combination of Neumann–Dirichlet (ND)] are presented in the absence (presence) of a magnetic field. The finite-size scaling functions for internal energy, heat capacity, entropy, magnetisation, and magnetic susceptibility are derived and analysed as function of the temperature and the field. We show that the properties of the one-dimensional Ising model is affected by the finite size of the system and the imposed boundary conditions. The thermodynamic limit in which the finite-size functions approach the bulk case is also discussed.

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