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Dynamics of a ferromagnetic granular system
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Zhu, Guanglei. Dynamics of a ferromagnetic granular system. Retrieved from https://doi.org/doi:10.7282/T3KP8456

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TitleDynamics of a ferromagnetic granular system
NameZhu, Guanglei (author); Liu, Liping (chair); NORRIS, ANDREW (internal member); Lee, Howon (internal member); Rutgers University; Graduate School - New Brunswick
Date Created2015
Other Date2015-10 (degree)
SubjectMechanical and Aerospace Engineering, Dynamics, Ferromagnetism
Extent1 online resource (v, 44 p. : ill.)
DescriptionWe study theoretically and numerically the dynamics of a one-dimensional ferromagnetic granular system. Corresponding to different types of potential in the chain, linear, weakly nonlinear and strongly nonlinear partial differential equations are derived respectively. The continuum limit is derived following the method used by Ishimori (1982). Specifically, we show that by giving initial dynamic force, a system endure anharmonic nearest neighbor interaction (NNI) and inverse power-law long range interaction (LRI) will generate nonlinear solitary waves. Both weakly and strongly nonlinear equations occupied unique properties. Furthermore, we find that the equations of motion varies with different values of the exponent parameter p in each case. Next, we focus on the discussion of the dipole-dipole interaction which corresponds to the ferromagnetic system. We show that though the main contribution to the solitary wave is the short range part, the long-range interaction effect the shape of the solitary wave as well as its propagation velocity.
NoteM.S.
NoteIncludes bibliographical references
Noteby Guanglei Zhu
Genretheses, ETD graduate
Persistent URLhttps://doi.org/doi:10.7282/T3KP8456
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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