Linear Irreversible Thermodynamics, Efficiency and Coefficient of Performance of Thermal Brownian Motors in Tight Coupling

Getachew, Anteneh (2007) Linear Irreversible Thermodynamics, Efficiency and Coefficient of Performance of Thermal Brownian Motors in Tight Coupling. Masters thesis, Addis Ababa University.

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Abstract

We analytically study a thermal Brownian motor and calculate exactly the Onsager’s coe–cients in equilibrium and steady state conditions. We show that the reciprocity relation holds and the determinant of the Onsager’s matrix vanishes. Such a condition implies that the device is built with tight coupling. This tells us why Carnot’s e–ciency can be achieved in the limit of inflnitely slow velocities (quasistatic process). We also flnd the e–ciency and the coe–cient of performance for our model at these conditions using Onsager’s coe–cients. The e–ciency and the coe–cient of performance that we found using the tools of LIT is exactly the same as the Carnot’s e–ciency and coe–cient of performance. Also we flnd the e–ciency (at maximum power) and the maximum coe–cient of performance of the Brownian refrigerator to be exactly identical with the the corrosponding results of Curzon - Alhborn and Carnot’s refrgerator for perfectly tight coupling model.

Item Type: Thesis (Masters)
Subjects: Q Science > Q Science (General)
Q Science > QC Physics
T Technology > T Technology (General)
Divisions: Africana
Depositing User: Selom Ghislain
Date Deposited: 16 Aug 2018 08:42
Last Modified: 16 Aug 2018 08:42
URI: http://thesisbank.jhia.ac.ke/id/eprint/4804

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