Masters thesis: Confined Brownian motion: Fick-Jacobs Equation and Stochastic Thermodynamics
Thursday 14 September 2017
to 14:30 at
Cristoph Streißnig (Stockholm University, Fysikum, and Nordita)
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.