Entropy in sound and vibration: towards a new paradigm. (31st January 2017)

• Record Type: Journal Article
• Authors: Le Bot, A.
• Is Part Of: Proceedings. Volume 473:Number 2197(2017)
• Publication Date: 2017-01-31
• Subjects: entropy -- sound and vibration -- mechanical oscillators -- statistical energy analysis; Physical sciences -- Periodicals; Engineering -- Periodicals; Mathematics -- Periodicals; 500
• DOI: 10.1098/rspa.2016.0602
• Languages: English
• ISSNs: 1364-5021

Abstract

Abstract : This paper describes a discussion on the method and the status of a statistical theory of sound and vibration, called statistical energy analysis (SEA). SEA is a simple theory of sound and vibration in elastic structures that applies when the vibrational energy is diffusely distributed. We show that SEA is a thermodynamical theory of sound and vibration, based on a law of exchange of energy analogous to the Clausius principle. We further investigate the notion of entropy in this context and discuss its meaning. We show that entropy is a measure of information lost in the passage from the classical theory of sound and vibration and SEA, its thermodynamical counterpart.