Modelling thermionic emission by using a two-level mechanical system (A pedagogical approach to the Boltzmann factor)

Battaglia, Onofrio R. (2008) Modelling thermionic emission by using a two-level mechanical system (A pedagogical approach to the Boltzmann factor). Il nuovo cimento C, 31 (4). pp. 591-599. ISSN 1826-9885

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Abstract

The Boltzmann factor is at the basis of a great amount of thermodynamic and statistical physics, both classical and quantum. It describes the behaviour of natural systems that exchange energy with the environment. However, why does the expression have that specific form? The Feynman Lectures on Physics justifies it heuristically by referencing to the “exponential atmosphere” example. Thermodynamics textbooks usually give a more or less complete explanation that mainly involves a mathematical analysis, where it is hard to see the logic flow. Moreover, the necessary mathematics is not at the level of high school or college students’ preparation. Here we present an experiment and a simulation aimed at deriving the Boltzmann factor expression and illustrating the fundamental concepts and principles of statistical mechanics. Experiments and simulations are used in order to visualise the mechanisms involved; the experiments use easily available laboratory equipment, and simulations are developed in NetLogo, a software environment that, besides having a really friendly interface, allows the user to easily interact with the algorithm, as well as to modify it.

Item Type: Article
Uncontrolled Keywords: Education ; Teaching methods and strategies ; Computers in education ; Laboratory experiments and apparatus
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 23 Mar 2020 16:58
Last Modified: 23 Mar 2020 16:58
URI: http://eprints.bice.rm.cnr.it/id/eprint/16396

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