2026-09-21T06:12:59Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/612662022-01-13T07:54:41Zcom_1721.1_7582com_1721.1_7581col_1721.1_131024
Bruno Coppi.
Schneck, Kristiana E. (Kristiana Elizabeth)
Massachusetts Institute of Technology. Dept. of Physics.
Massachusetts Institute of Technology. Department of Physics
2011-02-23T14:38:51Z
2011-02-23T14:38:51Z
2010
2010
http://hdl.handle.net/1721.1/61266
701925997
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2010.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 53).
Black holes and compact objects are often surrounded by structures known as accretion disks which consist of ionized plasma. Due to the immense forces present in the disk, interesting and complex magnetic field structures can be set up within the disk. The influence of gravity on these structures is explored via a higher-order expansion of the gravitational potential. We consider several cases: the case when the Lorentz force is negligible and the case when the Lorentz force becomes significant in the dynamics of the disk. When the Lorentz force is negligible, we find using the Ferraro Co-rotation Theorem that the strength of the magnetic field increases near the event horizon. As the strength of the Lorentz force increases and it is included in our analysis, we discover that it leads to a periodic "crystal" structure of concentric rings of current. This structure is significantly affected by gravitational forces: we find a solution to the equations of motion that shows a composite structure within the disk. We discuss the general relativistic effects near the event horizon using the Pseudo- Newtonian potential in this limit. In addition, we consider an alternate derivation of the equation of motion describing the behavior of the magnetic field and discuss its consequences.
by Kristiana E. Schneck.
S.B.
53 p.
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by
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http://dspace.mit.edu/handle/1721.1/7582
Physics.
Gravitational influences on magnetic field structure in accretion disks
Thesis
application/pdf
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Publication
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<Abstract>Black holes and compact objects are often surrounded by structures known as accretion disks which consist of ionized plasma. Due to the immense forces present in the disk, interesting and complex magnetic field structures can be set up within the disk. The influence of gravity on these structures is explored via a higher-order expansion of the gravitational potential. We consider several cases: the case when the Lorentz force is negligible and the case when the Lorentz force becomes significant in the dynamics of the disk. When the Lorentz force is negligible, we find using the Ferraro Co-rotation Theorem that the strength of the magnetic field increases near the event horizon. As the strength of the Lorentz force increases and it is included in our analysis, we discover that it leads to a periodic "crystal" structure of concentric rings of current. This structure is significantly affected by gravitational forces: we find a solution to the equations of motion that shows a composite structure within the disk. We discuss the general relativistic effects near the event horizon using the Pseudo- Newtonian potential in this limit. In addition, we consider an alternate derivation of the equation of motion describing the behavior of the magnetic field and discuss its consequences.</Abstract>
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