Thermodynamics of a Simple Endoreversible Model for Computer Gates

Juan Carlos Chimal-Eguia (), Ricardo Teodoro Páez-Hernández, Juan Carlos Pacheco-Paez, Magdalena Saldana-Perez and Delfino Ladino-Luna
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Juan Carlos Chimal-Eguia: Laboratorio de Ciencias Matemáticas y Computacionales, Centro de Investigación en Computación, Instituto Politécnico Nacional, Ciudad de Mexico CP 07738, Mexico
Ricardo Teodoro Páez-Hernández: Area de Física de Procesos Irreversibles, Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana, U-Azcapotzalco, Av. San Pablo 180, Col. Reynosa, Ciudad de Mexico CP 02200, Mexico
Juan Carlos Pacheco-Paez: Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana-Azcapotzalco, Ciudad de Mexico CP 02200, Mexico
Magdalena Saldana-Perez: Laboratorio de Procesamiento Inteligente de Información Geoespacial, Centro de Investigación en Computación, Instituto Politécnico Nacional, Ciudad de Mexico CP 07738, Mexico
Delfino Ladino-Luna: Area de Física de Procesos Irreversibles, Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana, U-Azcapotzalco, Av. San Pablo 180, Col. Reynosa, Ciudad de Mexico CP 02200, Mexico

Mathematics, 2025, vol. 13, issue 16, 1-14

Abstract: In a world increasingly dependent on digital computers, understanding the relationship between information theory and thermodynamics is essential. A recent attempt to address this issue was made by A. De Vos who, using a reversible model within the framework of finite-time thermodynamics, derived Carnot’s law, Landauer’s principle, Ohm’s law, and even Moore’s law. Following De Vos et al., this paper first recovers the efficiency of Curzon and Ahlborn, and then establishes the so-called endoreversible Landauer principle for a traditional computer gate, assuming the gate operates in the Maximum Power regime. However, two other regimes are particularly important: the Omega function and the Efficient Power function. By considering these, we obtain the corresponding thermodynamic efficiencies and compare them against that of the Maximum Power regime.

Keywords: Landauer´s principle; finite time thermodynamics; Omega function; Efficient Power function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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