Brownian motion conned in a two dimensional channel with varying crosssectionunder the inuence of an external force eld is examined. In particular,a one dimensional equation approximately describing the dynamics of the Brownianparticles is derived, a generalization of the well known Fick-Jacobs equation.This generalized Fick-Jacobs equation is numerically veried by Browniandynamics simulations for a special case of the external force eld. Furthermorethe generalized Fick-Jacobs equation is investigated in the context of stochasticthermodynamics.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:su-148185 |
| Date | January 2017 |
| Creators | Streißnig, Christoph |
| Publisher | Stockholms universitet, Fysikum |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
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