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Full-Text Articles in Statistical, Nonlinear, and Soft Matter Physics

Analysis And Methodology Of Helical And Flexible Homopolymer Monte Carlo Simulations, Nathan Roberts Apr 2023

Analysis And Methodology Of Helical And Flexible Homopolymer Monte Carlo Simulations, Nathan Roberts

Honors College Theses

The purpose of my work is to analyze the results of Monte Carlo simulations of various types of polymers: a helical homopolymer and a flexible homopolymer. Specific applications of Monte Carlo polymer simulations and parallel tempering replica exchanges are presented. Using temporal analysis, I aim to measure the efficiency of each type of simulation as it relates to equilibration time. For the helical homopolymer model, equilibration time is expanded upon to analyze the rate of structure generation and relevant hyper-phase diagram. Stable states for helical homopolymers will use data generated from parallel tempering replica exchange Monte Carlo simulations created by …


Machine Learning-Driven Surrogate Models For Electrolytes, Tong Gao Jan 2022

Machine Learning-Driven Surrogate Models For Electrolytes, Tong Gao

Dissertations, Master's Theses and Master's Reports

We have developed a lattice Monte Carlo (MC) simulation based on the diffusion-limited aggregation model that accounts for the effect of the physical properties of ionic liquids (ILs) on lithium dendrite growth. Our simulations show that the size asymmetry between the cation and anion, the dielectric constant, and the volume fraction of ILs are critical factors to significantly suppress the dendrite growth, primarily due to substantial changes in electric-field screening. Specifically, the volume fraction of ILs has the optimal value for dendrite suppression. The present simulation method indicates potential challenges for the model extension to macroscopic systems. Therefore, we also …


Predicting The Hydration Free Energy Of Small Alkanes And Alcohols From Custom, Electronic Structure-Based Force Fields, T. Ryan Rogers Dec 2020

Predicting The Hydration Free Energy Of Small Alkanes And Alcohols From Custom, Electronic Structure-Based Force Fields, T. Ryan Rogers

Graduate Theses and Dissertations

Mathematical theories reveal the fundamental physics involved in experimentalphenomena. Computer models of such theories are routinely used to corroborate or explain experiments and predict properties of chemical systems. Therefore, an important effort in computational chemistry is the development of more accurate and efficient chemical models. Current-generation models are only beginning to approach experimental-quality predictions of hydration free energies (HFEs).Using computations of quantum mechanical (QM) forces and classical simulations based on these forces, I investigate models to predict several properties of solutes and solutions. This dissertation is a collection of projects exemplifying methods used to gain insight into chemical systems.

Simulations …