In this paper I present the results of Monte Carlo simulations for a soft sphere fluid with a Weeks-Chandler-Anderson (WCA) pair potential. The results are compared to Soft Fundamental Measure Theory (SFMT) results obtained by our research group. One of the research group’s goals was to show that our SFMT...
Thermodynamic properties of systems are often investigated computationally. Traditionally, thermal physics simulations are limited by their very small energy ranges and slow convergence. Broad histogram algorithms are a class of Monte Carlo algorithms that can explore an entire energy (and temperature) range in one thermal physics simulation: potentially saving months...
Dynein is a motor protein which transports cargo along tracks inside the cell. Like related motor proteins kinesin and myosin, dynein uses cellular energy to take steps with its two foot domains. Unlike kinesin or myosin, dynein’s stepping pattern is highly varied: it can take steps between zero and 60nm...
Silicon based quantum computing is an attractive approach to large-scale quantum computation due to the significant success of the modern semiconductor fabrication industry. Despite many advances in silicon quantum computing since its inception in 1998, there remains no software for efficiently designing candidate silicon quantum computing devices. Such a development...
Dynein is a motor protein which transports cargo along tracks inside the cell. Like related motor proteins kinesin and myosin, dynein uses cellular energy to take steps with its two foot domains. Unlike kinesin or myosin, dynein’s stepping pattern is highly varied: it can take steps between zero and 60nm...
Monte Carlo methods are used to explore vapor-liquid phase transitions. However, current models are computationally expensive when identifying these phase transitions. Traditionally, Monte Carlo simulations are run across a range of temperatures at a fixed number of atoms/molecules. The Number Monte Carlo method (NMC), our proposed Monte Carlo method, runs...
Currently multi-canonical, and grand canonical Monte Carlo simulations exist, but do not always give all of the necessary information of the system. When using a 1-D (only changing in one variable) broad histogram Monte Carlo method a user would need to run a range of simulations in order to get...
The dynein molecule is a peculiar motor protein recognized for its unique stepping behavior. Sometimes it steps forwards. Other times it steps backwards. It has even been observed to occasionally shuffle by beginning a step with the same domain many times in row. These motions make dynein an interesting object...
We present a classical density functional to model the soft, repulsive potential of a Weeks-Chandler-Andersen (WCA) fluid using Soft Fundamental Measure Theory (SFMT) with temperature-dependent parameters inspired by the Barker-Henderson method. Our functional uses soft spheres to model the soft-sphere WCA potential, and gives results that are in good agreement...
The equation of state for a fluid described by the Weeks-Chandler-Andersen (WCA) potential was solved to determine at what pressures and temperatures the fluid will theoretically freeze. A Monte Carlo (MC) algorithm was used to sample a system of 256 spheres for a set of thermodynamic averages to locate and...