%0 Journal Article %1 wang.2004 %A Wang, Shaojie %D 2004 %I American Physical Society %J Phys. Rev. Lett. %K current_hole current_reversal equilibrium i-mhd tokamak %N 15 %P 155007 %R 10.1103/PhysRevLett.93.155007 %T Theory of Tokamak Equilibria with Central Current Density Reversal %U http://link.aps.org/doi/10.1103/PhysRevLett.93.155007 %V 93 %X t is found that, with a model current profile, the Grad-Shafranov equation can be reduced to the Helmholtz equation, which can describe a variety of equilibrium configurations. With the eigenvalue problem solved in the toroidal coordinate system, an analytical solution to the Grad-Shafranov equation is found. It is demonstrated that current reversal equilibrium configurations exist with finite radial gradient of plasma pressure and continuous current density, and that current density reversal is accompanied by pressure gradient reversal.

@article{wang.2004, abstract = {t is found that, with a model current profile, the Grad-Shafranov equation can be reduced to the Helmholtz equation, which can describe a variety of equilibrium configurations. With the eigenvalue problem solved in the toroidal coordinate system, an analytical solution to the Grad-Shafranov equation is found. It is demonstrated that current reversal equilibrium configurations exist with finite radial gradient of plasma pressure and continuous current density, and that current density reversal is accompanied by pressure gradient reversal.}, added-at = {2009-11-30T23:58:29.000+0100}, author = {Wang, Shaojie}, biburl = {https://www.bibsonomy.org/bibtex/241943c948a2deea401c0508f81b86027/prodrigues}, description = {Current-hole equilibria for $p$ and $ff'$ linear in $\psi$.}, doi = {10.1103/PhysRevLett.93.155007}, interhash = {195cb8a84ff3f0293486e5890ee5b729}, intrahash = {41943c948a2deea401c0508f81b86027}, journal = {Phys. Rev. Lett.}, keywords = {current_hole current_reversal equilibrium i-mhd tokamak}, month = Oct, number = 15, numpages = {4}, pages = 155007, publisher = {American Physical Society}, timestamp = {2009-11-30T23:58:29.000+0100}, title = {Theory of Tokamak Equilibria with Central Current Density Reversal}, url = {http://link.aps.org/doi/10.1103/PhysRevLett.93.155007}, volume = 93, year = 2004 }