A new Definition of Entropy based on Shannon's Measure of Information

Arieh Ben-Naim

doi:10.1142/9789811259401_0004

A new Definition of Entropy based on Shannon's Measure of Information

Arieh Ben-Naim^*

^*Corresponding author for this work

Institute of Chemistry

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this chapter, we define the concept of entropy, based on Shannon's Measure of information (SMI). This definition is equivalent to Boltzmann's definition. However, it has some advantages; it leads naturally to a simple, intuitive and irrefutable interpretation of entropy. It also provides a solid probabilistic interpretation of the Second Law of Thermodynamics. In a second chapter we shall also show that this definition shows most clearly why Entropy is a timeless quantity.

Original language	English
Title of host publication	Frontiers In Entropy Across The Disciplines - Panorama Of Entropy
Subtitle of host publication	Theory, Computation, And Applications
Publisher	World Scientific Publishing Co. Pte Ltd
Pages	91-131
Number of pages	41
ISBN (Electronic)	9789811259401
ISBN (Print)	9789811259395
DOIs	https://doi.org/10.1142/9789811259401_0004
State	Published - 30 Aug 2022

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© 2023 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.

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A new Definition of Entropy based on Shannon's Measure of Information

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