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Full-Text Articles in Physical Sciences and Mathematics

Expanded Parameters In The Self-Organized Critical Forest Fire Model, Riley Self Jun 2016

Expanded Parameters In The Self-Organized Critical Forest Fire Model, Riley Self

Senior Theses

The forest fire model has been used to test the theory of Self-Organized Criticality as a model of complexity. The goal is to search for scale invariance in randomly generated forest fires using a computer simulation. In a previous model by B. Drossel and F. Schwabl,1 power-law behavior was seen when the nearest neighbors to a tree on fire catch on fire, and it has been assumed that if further trees also catch fire, then it will still exhibit self-organized criticality, showing scale invariance. Testing this assumption aids to the exploration of the applicability of self-organized criticality because the …


Modeling The Behavior Of The Graphene To Liquid Interfaces In An Electrolytic Liquid, Caitlin Duffner May 2016

Modeling The Behavior Of The Graphene To Liquid Interfaces In An Electrolytic Liquid, Caitlin Duffner

Senior Theses

Understanding the mechanism for charge transfer between a graphene biosensor and its electrodes within an electrolyte solution is vital to better understand the sources of electrical noise in the system. By measuring the effective resistance and capacitance of the system at different frequencies, it is possible to develop a circuit model of the system's electrical behavior. This model provides a deeper understanding of the fundamental interactions that occur in a top-­gated graphene device and provides opportunities to improve a signal. To reduce noise created at the liquid to graphene interface, a buffer layer of Yttrium Oxide was applied. While the …


Effect Of Electrolyte Concentration On The Capacitance And Mobility Of Graphene, Flint A. Martino May 2016

Effect Of Electrolyte Concentration On The Capacitance And Mobility Of Graphene, Flint A. Martino

Senior Theses

The use of graphene field-effect transistors as a biosensor is increasingly being used to study biological phenomena, due to the sensitivity and low reactivity of graphene. To further improve sensitivity in biological environments, we examined how different salt concentrations affect the mobility of capacitance of the graphene. Samples were also measured after an annealing process. We report on the positive correlation between sensitivity and electrolyte concentration and speculate on methods to improve future detectors. Mobility of the device was found to change from 1.07*103cm2/ (V*s) in de-ionized water to 2.78*103cm2/ (V*s) in …


Modeling A Circuit That Represents An Electrolytic Solution At Different Concentrations, Daniel C. Miller Ii May 2016

Modeling A Circuit That Represents An Electrolytic Solution At Different Concentrations, Daniel C. Miller Ii

Senior Theses

Electrodes are often placed within bio samples in order to measure the electrical changes that occur within a system. In order to understand the information provided through the microelectrodes, this paper will describe an experiment to measure the capacitance and the resistance between two micro electrodes as an electrolyte becomes more concentrated. This resulted in a capacitance and a resistance that increased and decreased exponentially, respectively, as an electrolyte concentration increased logarithmically.


Protein Folding & Self-Organized Criticality, Arun Bajracharya May 2016

Protein Folding & Self-Organized Criticality, Arun Bajracharya

Senior Theses

Proteins are known to fold into tertiary structures that determine their functionality in living organisms. However, the complex dynamics of protein folding and the way they consistently fold into the same structures is unknown. Experimental studies of the folding process are difficult as proteins are made of more than one subunit and possess a high degree of conformational flexibility. Theoretically, self-organized criticality (SOC) has provided a framework for understanding complex systems in various scientific disciplines through scale invariance and the associated "fractal" power law behavior. Evidence of this criticality phenomena has been found in neural systems, cell cultures, and anesthetized …