A Numerical Investigation of a Certain One-Dimensional Ising Model

The model is a linear chain in which each spin interacts with its 2r nearest neighbors, the interaction energy being proportional to 1/r. Using a method similar to that of Montroll, the partition function of the model in the thermodynamic limit is shown to be related to the largest eigenvalue of a c...

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Bibliographic Details
Main Author: Green, Jimmy
Format: Others
Published: TopSCHOLAR® 1981
Subjects:
Online Access:https://digitalcommons.wku.edu/theses/2402
https://digitalcommons.wku.edu/cgi/viewcontent.cgi?article=3421&context=theses