Abstract

lte rn a tiv e C o n s tr a in ts in th e E n tr o p y P r in c ip le f o r T o k a m a k P r o file s A p p lie d to C y lin d ric a l P la s m a s The recently proposed variational principle called the "entropy principle" is now applied with alternative constraints to cylindrical plasmas. These alternative constraints are that the pressure balance relation and Ohm's law with Spitzer conductivity and constant electric field should persist during the variations, replacing the constraint of fixed relations between the plasma pressure and density profiles used in the previous work. This leads to a one-parameter family of slightly paramag netic equilibria, the parameter being the internal plasma ß. The safety factor ratio is found to be about 2. The corresponding plasmas are close to isentropic and their profiles agree reasonably with Coppi's profile consistency formula for the temperature profiles. A modification of Coppi's formula greatly improves the agreement.