Ising Model and Its Application
Location
CSU 204
Start Date
4-4-2011 11:00 AM
End Date
4-4-2011 12:30 PM
Student's Major
Mathematics and Statistics
Student's College
Science, Engineering and Technology
Mentor's Name
In-Jae Kim
Mentor's Department
Mathematics and Statistics
Mentor's College
Science, Engineering and Technology
Description
The Ising model is a mathematical model of ferromagnetism in statistical mechanics. This model consists of spins that can be in one of two states. The spins interact only with their nearest neighbors, and the interactions can be described by a graph. That is, the spins are the dots (called vertices) and interacting dots are connected by a line (called an edge). We studied the graph of spins, and its structural implication on the model. We have also investigated social network models similar to the Ising model, interacting locally and having two states, such as a model of opinion formation.
Ising Model and Its Application
CSU 204
The Ising model is a mathematical model of ferromagnetism in statistical mechanics. This model consists of spins that can be in one of two states. The spins interact only with their nearest neighbors, and the interactions can be described by a graph. That is, the spins are the dots (called vertices) and interacting dots are connected by a line (called an edge). We studied the graph of spins, and its structural implication on the model. We have also investigated social network models similar to the Ising model, interacting locally and having two states, such as a model of opinion formation.
Recommended Citation
Compton, Nicholas. "Ising Model and Its Application." Undergraduate Research Symposium, Mankato, MN, April 4, 2011.
https://cornerstone.lib.mnsu.edu/urs/2011/oral-session-05/1
