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Physical Sciences and Mathematics Commons

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Theses/Dissertations

1998

Electronic Dissertations and Theses

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Full-Text Articles in Physical Sciences and Mathematics

Effects Of Randomness And Spatially Dependent Relaxation On Sandpile Models, Isiaka O. Akanbi Jul 1998

Effects Of Randomness And Spatially Dependent Relaxation On Sandpile Models, Isiaka O. Akanbi

Electronic Dissertations and Theses

Random deposition represents the simplest growth model. From a randomly chosen site over the surface, a particle falls vertically until it reaches the top of the interface, whereupon it sticks irreversibly. To include surface relaxation, we allow the deposited particle to diffuse along the surface up to a finite distance, stopping when it finds the position with the lowest height. As a result of the relaxation process, the final interface will be smooth, compared to the model without relaxation. In this research we investigate two types of randomness in the relaxation of sandpile models when the slop at some point …


Measuring The Bunch-Length Of An Electron Beam By Utilizing The Laser Heterodyne Technique, Katrina L. Carter May 1998

Measuring The Bunch-Length Of An Electron Beam By Utilizing The Laser Heterodyne Technique, Katrina L. Carter

Electronic Dissertations and Theses

The focus of this project was to develop an apparatus that would aid in measuring the bunch-length of an electron beam at the interaction point of the Stanford Linear Collider (SLC) by utilizing the laser heterodyne technique. This technique involves the superposition of two laser pulses of slightly different frequencies. As a result, a traveling fringe pattern is created, and a bunch-to-bunch variation of the Compton rate would be introduced. The magnitude of this variation depends on the best wavelength and on Fourier transform of the longitudinal bunch distribution. The laser heterodyne technique is implemented by the addition of a …