Effect of magnetic field on the thermoelectric power in the quasi-one-dimensional metal NbSe3

The equivalence of magnetic field line equations to a one-dimensional time-dependent Hamiltonian system is used to construct magnetic fields with arbitrary toroidal magnetic surfaces I = const. For this purpose Hamiltonians H which together with their invariants satisfy periodicity constraints have to be known. The choice of H fixes the rotational transform η(I). Arbitrary axisymmetric fields, and nonaxisymmetric fields with constant η(I) are considered in detail.Configurations with coinciding magnetic and current density surfaces are obtained. The approach used is not well suited, however, to satisfying the additional MHD equilibrium condition of constant pressure on magnetic surfaces.

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The on-axis magnetic well and Mercier's criterion for arbitrary stellarator geometries

Journal of Plasma Physics ◽

10.1017/s0022377821000465 ◽

2021 ◽

Vol 87 (2) ◽

Author(s):

P. Kim ◽

R. Jorge ◽

W. Dorland

Keyword(s):

Magnetic Field ◽

Original Work ◽

Three Dimensional ◽

Radial Distance ◽

Analytical Form ◽

One Dimensional ◽

Modern Notation ◽

Magnetic Well ◽

First Time ◽

Dimensional Integral

A simplified analytical form of the on-axis magnetic well and Mercier's criterion for interchange instabilities for arbitrary three-dimensional magnetic field geometries is derived. For this purpose, a near-axis expansion based on a direct coordinate approach is used by expressing the toroidal magnetic flux in terms of powers of the radial distance to the magnetic axis. For the first time, the magnetic well and Mercier's criterion are then written as a one-dimensional integral with respect to the axis arclength. When compared with the original work of Mercier, the derivation here is presented using modern notation and in a more streamlined manner that highlights essential steps. Finally, these expressions are verified numerically using several quasisymmetric and non-quasisymmetric stellarator configurations including Wendelstein 7-X.

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Thermoelectric Power in Quantum Confined Bismuth Under Classically Large Magnetic Field

MRS Proceedings ◽

10.1557/proc-216-465 ◽

1990 ◽

Vol 216 ◽

Cited By ~ 6

Author(s):

Kamakhya P. Ghatak ◽

S. N. Biswas

Keyword(s):

Magnetic Field ◽

Quantum Dots ◽

Quantum Well ◽

Film Thickness ◽

Quantum Wells ◽

Thermoelectric Power ◽

Large Magnetic Field ◽

Quantum Well Wires ◽

Electron Dispersion ◽

Theoretical Results

ABSTRACTIn this paper we studied the thermoelectric power under classically large magnetic field (TPM) in quantum wells (QWs), quantum well wires (QWWS) and quantum dots (QDs) of Bi by formulating the respective electron dispersion laws. The TPM increases with increasing film thickness in an oscillatory manner in all the cases. The TPM in QD is greatest and the least for quantum wells respectively. The theoretical results are in agreement with the experimental observations as reported elsewhere.

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