Resistance inequalities for the isotropic heisenberg model

1978 ◽  
pp. 160-167 ◽  
Author(s):  
R. T. Powers
Keyword(s):  
Heisenberg Model

Integrable Models

2018 ◽  
Author(s):  
S. G. Rajeev
Keyword(s):  
Fluid Mechanics ◽  
Soliton Solution ◽  
Water Waves ◽  
Heisenberg Model ◽  
Kdv Equation ◽  
Short Review ◽  
Lax Pair ◽  
Shallow Water Waves ◽  
Initial Value ◽  
The Kdv Equation

Some exceptional situations in fluid mechanics can be modeled by equations that are analytically solvable. The most famous example is the Korteweg–de Vries (KdV) equation for shallow water waves in a channel. The exact soliton solution of this equation is derived. The Lax pair formalism for solving the general initial value problem is outlined. Two hamiltonian formalisms for the KdV equation (Fadeev–Zakharov and Magri) are explained. Then a short review of the geometry of curves (Frenet–Serret equations) is given. They are used to derive a remarkably simple equation for the propagation of a kink along a vortex filament. This equation of Hasimoto has surprising connections to the nonlinear Schrödinger equation and to the Heisenberg model of ferromagnetism. An exact soliton solution is found.

Phase transitions in the Heisenberg model on a layered triangular lattice in a magnetic field

2021 ◽  
pp. 1-10
Author(s):  
Akai Murtazaev ◽  
Magomedzagir Badiev ◽  
Magomedsheykh Ramazanov ◽  
Magomed Magomedov
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
Triangular Lattice ◽  
Heisenberg Model

scholarly journals Spin-current State in Anisotropic Triangular Heisenberg Model

2014 ◽  
Vol 58 ◽  
pp. 10-13 ◽  
Author(s):  
S. Tamura ◽  
H. Yokoyama
Keyword(s):  
Heisenberg Model ◽  
Spin Current ◽  
Current State
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