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Physical Sciences and Mathematics Commons™
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- Academic – UNF – Master of Science in Mathematical Science; Dissertations (1)
- Academic – UNF – Mathematics (1)
- Aquatic ecology -- Florida -- Saint Johns River Watershed; Fisheries -- Florida -- Saint Johns River Watershed; Saint Johns River Watershed (Fla.); Stream ecology -- Florida -- Saint Johns River Watershed; Water -- Pollution -- Florida -- Saint Johns River Watershed; Water quality -- Florida -- Saint Johns River Watershed; Watershed management -- Florida -- Saint Johns River Watershed; St. Johns River (1)
- Chemistry; Weiss temperature; demagnetizing factors; cylinders; physics; condensed matter; ligand molecules (1)
- Chemistry; ferromagnetism; high-spin molecules; Mn-12-acetate; physics; condensed matter (1)
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Articles 1 - 4 of 4
Full-Text Articles in Physical Sciences and Mathematics
Matrix Singular Value Decomposition, Petero Kwizera
Matrix Singular Value Decomposition, Petero Kwizera
UNF Graduate Theses and Dissertations
This thesis starts with the fundamentals of matrix theory and ends with applications of the matrix singular value decomposition (SVD). The background matrix theory coverage includes unitary and Hermitian matrices, and matrix norms and how they relate to matrix SVD. The matrix condition number is discussed in relationship to the solution of linear equations. Some inequalities based on the trace of a matrix, polar matrix decomposition, unitaries and partial isometies are discussed. Among the SVD applications discussed are the method of least squares and image compression. Expansion of a matrix as a linear combination of rank one partial isometries is …
Experimental Determination Of The Weiss Temperature Of Mn12-Ac And Mn12-Ac-Meoh, Christos Lampropoulos, Shiqi Li, Lin Bo, Bo Wen, M P. Sarachik, P Subedi, A D. Kent, Y Yeshurun, A J. Millis, S Mukherjee, G Christou
Experimental Determination Of The Weiss Temperature Of Mn12-Ac And Mn12-Ac-Meoh, Christos Lampropoulos, Shiqi Li, Lin Bo, Bo Wen, M P. Sarachik, P Subedi, A D. Kent, Y Yeshurun, A J. Millis, S Mukherjee, G Christou
Chemistry Faculty Research and Scholarship
We report measurements of the susceptibility in the temperature range from 3.5 to 6.0 K of a series of Mn12-ac and Mn12-ac-MeOH samples in the shape of rectangular prisms of length lc and square cross section of side la. The susceptibility obeys a Curie-Weiss law, χ=C/(T−θ), where θ varies systematically with sample aspect ratio. Using published demagnetization factors, we obtain θ for an infinitely long sample corresponding to intrinsic ordering temperatures Tc≈0.85 K and ≈0.74 K for Mn12-ac and Mn12-ac-MeOH, respectively. The difference in Tc for …
State Of The River Report For The Lower St. Johns River Basin, Florida: Water Quality, Fisheries, Aquatic Life, And Contaminants 2010, Environmental Protection Board, City Of Jacksonville, University Of North Florida, Jacksonville University
State Of The River Report For The Lower St. Johns River Basin, Florida: Water Quality, Fisheries, Aquatic Life, And Contaminants 2010, Environmental Protection Board, City Of Jacksonville, University Of North Florida, Jacksonville University
State of the River Report
No abstract provided.
Realization Of Random-Field Ising Ferromagnetism In A Molecular Magnet, Bo Wen, P Subedi, Lin Bo, Y Yeshurun, M P. Sarachik, A D. Kent, A J. Millis, Christos Lampropoulos, G Christou
Realization Of Random-Field Ising Ferromagnetism In A Molecular Magnet, Bo Wen, P Subedi, Lin Bo, Y Yeshurun, M P. Sarachik, A D. Kent, A J. Millis, Christos Lampropoulos, G Christou
Chemistry Faculty Research and Scholarship
The longitudinal magnetic susceptibility of single crystals of the molecular magnet Mn12-acetate obeys a Curie-Weiss law, indicating a transition to a ferromagnetic phase at ∼0.9 K. With increasing magnetic field applied transverse to the easy axis, a marked change is observed in the temperature dependence of the susceptibility, and the suppression of ferromagnetism is considerably more rapid than predicted by mean-field theory for an ordered single crystal. Our results can instead be fit by a Hamiltonian for a random-field Ising ferromagnet in a transverse magnetic field, where the randomness derives from the intrinsic distribution of locally tilted magnetic …