What is Entropy?

Fuente: arXiv
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Main Author: Baez, John C.
Format: Preprint
Published: 2024
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author Baez, John C.
author_facet Baez, John C.
contents This short book is an elementary course on entropy, leading up to a calculation of the entropy of hydrogen gas at standard temperature and pressure. Topics covered include information, Shannon entropy and Gibbs entropy, the principle of maximum entropy, the Boltzmann distribution, temperature and coolness, the relation between entropy, expected energy and temperature, the equipartition theorem, the partition function, the relation between expected energy, free energy and entropy, the entropy of a classical harmonic oscillator, the entropy of a classical particle in a box, and the entropy of a classical ideal gas.
format Preprint
id arxiv_https___arxiv_org_abs_2409_09232
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle What is Entropy?
Baez, John C.
Statistical Mechanics
Mathematical Physics
This short book is an elementary course on entropy, leading up to a calculation of the entropy of hydrogen gas at standard temperature and pressure. Topics covered include information, Shannon entropy and Gibbs entropy, the principle of maximum entropy, the Boltzmann distribution, temperature and coolness, the relation between entropy, expected energy and temperature, the equipartition theorem, the partition function, the relation between expected energy, free energy and entropy, the entropy of a classical harmonic oscillator, the entropy of a classical particle in a box, and the entropy of a classical ideal gas.
title What is Entropy?
topic Statistical Mechanics
Mathematical Physics
url https://arxiv.org/abs/2409.09232