## Investigating Topological Effects in The Stochastic Pump

# Matthew Heyrich

The stochastic pump is a stochastic system in which a single enzyme is engulfed in a sea of substrate and "product" molecules. A complex system of coupled differential equations governs the evolution of the system's measurable quantities. This system of differential equations has a unique form which is mathematically akin to cyclic quantum mechanical systems with adiabatic evolution. The property that these two systems have in common is the "Berry Curvature." During our research we theorized about what mathematical form the stochastic pump's "Moment Generating Function" must have for the "Berry Curvature" to arise in the system.

Department:

Physics

Mentor(s):

Ovidiu Lipan