Masters thesis: Confined Brownian motion: Fick-Jacobs Equation and Stochastic Thermodynamics
by
Cristoph Streißnig(Stockholm University, Fysikum, and Nordita)
→
Europe/Stockholm
112:028
112:028
Description
Brownian motion confined in a two dimensional channel with varying cross-section
under the influence of an external force field is examined. In particular, a one dimensional
equation approximately describing the dynamics of the Brownian particles
is derived, a generalization of the well known Fick-Jacobs equation.
This generalized Fick-Jacobs equation is numerically verified by Brownian dynamics simulations
for a special case of the external force field. Furthermore the generalized Fick-Jacobs equation
is investigated in the context of stochastic thermodynamics.