Statistical Mechanics

The freely jointed chain model
Statistical Mechanics ·
By Cory Simon The freely jointed chain model captures much of the physics of a polymer. Here, we use statistical mechanics to derive a relationship between pulling force and endtoend distance of a freely jointed chain. This is applicable to DNA unzipping experiments.
Research directions

On toy models
Research directions ·
By Cory Simon On the utility of toy models; kidney donations and porous materials with rotating ligands.
Computer programming

Multiple dispatch and hierarchical data types in Julia
Computer programming ·
By Cory Simon Julia is a programming language designed for numerical computing, and it supports multiple dispatch and type hierarchies.
Operations Research

Monte Carlo simulation of airline overbooking
Operations Research ·
By Mira Khare, Melanie Huynh, Arni Sturluson, Cory Simon Airlines overbook flights to maximize profits. But by how much should they overbook? Simulations can address this question!
machine learning, linear algebra

The orthogonal Procrustes problem
machine learning, linear algebra ·
By Cory Simon Two point sets $A$ and $B$ are “misaligned”; the points in $A$ correspond to rotated points in $B$ (with some noise). How do we recover the proper rotation matrix to align the points?
biology, thermodynamics

Surface tension catapults in mushrooms
biology, thermodynamics ·
By Cory Simon Mushrooms have evolved a fascinating mechanism to discharge its spores.
chemical engineering, process dynamics

ODE fun with liquid flow into tanks with complicated geometries
chemical engineering, process dynamics ·
By Cory Simon We derive a dynamic model for the liquid level in a truncated square pyramidal tank when liquid flows in at a rate $q_i$ and is driven out of the tank by hydrostatic pressure.