Pythagorean means and Carnot machines: When music meets heat
Ramandeep S. Johal
TL;DR
This paper explores intriguing connections between classical mathematical means and the efficiency coefficients of reversible Carnot heat machines, revealing a novel intersection of music-inspired mathematics and thermodynamics.
Contribution
It introduces a new perspective linking Pythagorean means to thermodynamic performance, bridging concepts from music theory and heat engine efficiency.
Findings
Identifies mathematical relations between means and Carnot coefficients
Provides theoretical insights into thermodynamic efficiency bounds
Suggests interdisciplinary links between music and heat physics
Abstract
Some interesting relations between Pythagorean means (arithmetic, geometric and harmonic means) and the coefficients of performance of reversible Carnot machines (heat engine, refrigerator and heat pump) are discussed.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Experimental and Theoretical Physics Studies · Relativity and Gravitational Theory