MONTE CARLO METHODS FOR LATTICE FIELDS by Richard S. Crosby SUBMITTED TO THE DEPARTMENT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF BACHELOR OF SCIENCE IN ELECTRICAL ENGINEERING

A discussion of the Monte Carlo methods for the Ising model highlights the benefits of the Swendsen-Wang algorithm. Next, an a priori model that has been developed for the analytical reconstruction of crystal structures from xray crystallography data is discussed, and the feasibility of developing an algorithm for this model similar to the Swendsen-Wang algorithm is considered. Thesis Supervisor: Title: Professor Sanjoy K. Mitter Professor of Electrical Engineering and Computer Science