HR: 0800h
AN: NG21A-0208 [Abstracts]
TI: Applications of the Principle of Minimum Dissipation Rate to Solar Corona
AU: * Hu, Q
EM: qiang.hu@ucr.edu
AF: IGPP, Univ. of California, Riverside, 2126 Pierce Hall, Riverside, CA 92521, United States
AU: Dasgupta, B
EM: dasgupta@ucr.edu
AF: IGPP, Univ. of California, Riverside, 2126 Pierce Hall, Riverside, CA 92521, United States
AU: Choudhary, D P
EM: debiprasad.choudhary@csun.edu
AF: Department of Physics and Astronomy
California State University Northridge, 18111 Nordhoff Street, Northridge, CA 91330-8229, United States
AB:
In analogy to the Principle of Minimum Energy, the Principle of Minimum Dissipation Rate (MDR), originating from
irreversible thermodynamics, follows a variational approach, but is more suitable for a complex and externally
driven system like the solar corona. And in contrast, while the former yields a linear (constant α) force-free
magnetic field, the MDR gives a more general non-force free magnetic field with flow. The solution to the equation
describing non-force free magnetic field resulted from MDR can be expressed as a linear superposition of two
linear force-free fields with distinct α parameters, and one potential field (α\equiv0). We present
recent progress on applying the MDR theory to solar corona, in particular, an MDR-based approach to deriving
three-dimensional non-force free coronal magnetic field from vector magnetograms at multiple photospheric
and/or chromospheric levels. We present several test case studies to illustrate the feasibility of the method. We
discuss further improvement to the method and its application to real magnetograph measurements of solar
active regions.
DE: 4485 Self-organization
DE: 4494 Instruments and techniques
DE: 7509 Corona
DE: 7524 Magnetic fields
DE: 7594 Instruments and techniques
SC: Nonlinear Geophysics [NG]
MN: 2007 Fall Meeting