%0 Journal Article %1 yoshida.2001 %A Yoshida, Z. %A Mahajan, S. M. %A Ohsaki, S. %A Iqbal, M. %A Shatashvili, N. %D 2001 %I AIP %J Physics of Plasmas %K i-mhd beltrami tokamak taylor to_read equilibrium high_beta %N 5 %P 2125-2131 %R 10.1063/1.1354149 %T Beltrami fields in plasmas: High-confinement mode boundary layers and high beta equilibria %U http://link.aip.org/link/?PHP/8/2125/1 %V 8 %X A general solenoidal vector field, such as a magnetic field or an incompressible flow, can be decomposed into an orthogonal sum of Beltrami fields (eigenfunctions of the curl operator). Nonlinear dynamics of a plasma induces complex couplings among these Beltrami fields. In a single-fluid magnetohydrodynamic (MHD) plasma, however, the energy condensates into a single Beltrami magnetic field resulting in the self-organization of a force-free equilibrium, that is, the Taylor relaxed state. By relating the velocity and the magnetic fields, the Hall term in the two-fluid model leads to a singular perturbation that enables the formation of an equilibrium given by a pair of two different Beltrami fields. This new set of relaxed states, despite the simple mathematical structure, includes a variety of plasma states that could explain a host of interesting phenomena. The H-mode (high-confinement) boundary layer, where a diamagnetic structure is self-organized under the coupling of the magnetic field, flow, electric field, and pressure, is an example. The theory also predicts the possibility of producing high beta equilibrium.

@article{yoshida.2001, abstract = {A general solenoidal vector field, such as a magnetic field or an incompressible flow, can be decomposed into an orthogonal sum of Beltrami fields (eigenfunctions of the curl operator). Nonlinear dynamics of a plasma induces complex couplings among these Beltrami fields. In a single-fluid magnetohydrodynamic (MHD) plasma, however, the energy condensates into a single Beltrami magnetic field resulting in the self-organization of a force-free equilibrium, that is, the Taylor relaxed state. By relating the velocity and the magnetic fields, the Hall term in the two-fluid model leads to a singular perturbation that enables the formation of an equilibrium given by a pair of two different Beltrami fields. This new set of relaxed states, despite the simple mathematical structure, includes a variety of plasma states that could explain a host of interesting phenomena. The H-mode (high-confinement) boundary layer, where a diamagnetic structure is self-organized under the coupling of the magnetic field, flow, electric field, and pressure, is an example. The theory also predicts the possibility of producing high beta equilibrium.}, added-at = {2009-02-27T02:42:53.000+0100}, author = {Yoshida, Z. and Mahajan, S. M. and Ohsaki, S. and Iqbal, M. and Shatashvili, N.}, biburl = {https://www.bibsonomy.org/bibtex/26470b17ea665c824880b97d06dd9e3f8/prodrigues}, description = {to read.}, doi = {10.1063/1.1354149}, interhash = {5bb3f860a56d5eaf71487fb0fc087abe}, intrahash = {6470b17ea665c824880b97d06dd9e3f8}, journal = {Physics of Plasmas}, keywords = {i-mhd beltrami tokamak taylor to_read equilibrium high_beta}, month = May, note = {42nd annual meeting of the division of plasma physics of the American Physical Society and the 10th international congress on plasma physics, Quebec City, Quebec (Canada), 2001.}, number = 5, numpages = {7}, pages = {2125-2131}, publisher = {AIP}, timestamp = {2009-02-27T02:42:53.000+0100}, title = {Beltrami fields in plasmas: High-confinement mode boundary layers and high beta equilibria}, url = {http://link.aip.org/link/?PHP/8/2125/1}, volume = 8, year = 2001 }