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dc.contributor.advisorTobochnik, Jan, 1953-
dc.contributor.authorDerama, Jeric
dc.description92 p.en_US
dc.description.abstractThis paper discusses about approaches in identifying the mechanisms of melting through Monte Carlo simulations of colloidal suspensions. Utilizing the simulations we are able to create perfect crystals with the absence of surfaces through periodic boundary conditions. Following an experiment done by a research group at Harvard we create our crystal by modeling a soft inter-particle potential known as the Yukawa potential in the body-centered cubic (BCC) lattice and simulate it in an isothermal system. To help determine when the system has melted we utilize two melting criterion - the Lindemann parameter and the Born criterion. Throughout the simulation we calculate various quantities to measure the changes that occur that could possibly hint at the markers of melting. Furthermore, we translate some of the techniques done in the experiment throughout the simulation such as identifying particles with Lindemann parameter greater than 0:25 as "hot" particles. We do a cluster analysis on these "hot" particles in hopes of identifying whether or not our system has transitioned to a liquid via a percolation phase transition which is a second-order phase transition. Additionally, the shear elastic constant is tracked to see whether or not the melting of the crystal is suggestive of Born melting.en_US
dc.relation.ispartofKalamazoo College Physics Senior Individualized Projects Collection
dc.rightsU.S. copyright laws protect this material. Commercial use or distribution of this material is not permitted without prior written permission of the copyright holder. All rights reserved.
dc.titleSimulations of Melting Colloidal Suspensionsen_US
KCollege.Access.ContactIf you are not a current Kalamazoo College student, faculty, or staff member, email to request access to this thesis.

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  • Physics Senior Individualized Projects [317]
    This collection includes Senior Individualized Projects (SIP's) completed in the Physics Department. Abstracts are generally available to the public, but PDF files are available only to current Kalamazoo College students, faculty, and staff.

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