Sigma Xi Poster Competition
Academic Level at Time of Presentation
Junior
Major
Engineering Physics
Minor
Math
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Dr. Matthew Williams
Presentation Format
Poster Presentation
Abstract/Description
I have developed an algorithm for finding phase transition in microcanonical data of simulations of homopolymers. These simulations model the behavior of homopolymers in an array of different conditions. This algorithm is generalized and can be applied to a variety of different systems. It works by taking repeated derivatives of the microcanonical entropy of the system and applying several filters, whose parameters are tuned algorithmically as well. Identification of phase transitions allows for the construction of a phase diagram.
Spring Scholars Week 2025
Sigma Xi Poster Competition
Microcanonical Analysis of Semiflexible Homopolymers with Variable Bending Potential Width
I have developed an algorithm for finding phase transition in microcanonical data of simulations of homopolymers. These simulations model the behavior of homopolymers in an array of different conditions. This algorithm is generalized and can be applied to a variety of different systems. It works by taking repeated derivatives of the microcanonical entropy of the system and applying several filters, whose parameters are tuned algorithmically as well. Identification of phase transitions allows for the construction of a phase diagram.