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The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
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Relación de incertidumbre entrópica termodinámica

Yoshihiko Hasegawa1, Tomohiro Nishiyama2

  • 1The University of Tokyo, Department of Information and Communication Engineering, Graduate School of Information Science and Technology, Tokyo 113-8656, Japan.

Physical review. E
|December 23, 2025
PubMed
Resumen
Este resumen es generado por máquina.

Este estudio establece un vínculo cuantitativo entre la entropía de Shannon y la producción de entropía en la termodinámica estocástica. Revela una compensación fundamental entre la precisión de la decisión y la producción de entropía en los modelos de toma de decisiones.

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Área de la Ciencia:

  • Termodinámica Estocástica
  • Teoría de la Información
  • Mecánica Estadística

Sus antecedentes:

  • Las relaciones de incertidumbre termodinámica vinculan la precisión observable y la producción de entropía.
  • La entropía de Shannon cuantifica la incertidumbre en la teoría de la información.
  • Falta un vínculo cuantitativo directo entre la entropía de Shannon y la producción de entropía.

Objetivo del estudio:

  • Establecer una relación cuantitativa entre la entropía de Shannon de un observable y la producción de entropía.
  • Introducir y utilizar la entropía de simetría para cuantificar la asimetría de la distribución observable.
  • Demostrar una compensación fundamental en la toma de decisiones estocástica.

Principales métodos:

  • Formulación de una relación de incertidumbre utilizando la entropía de Shannon y la producción de entropía.
  • Introducción de la entropía de simetría para medir la simetría de la distribución.
  • Aplicación de la relación derivada al modelo de decisión de difusión.

Principales resultados:

  • Se estableció un límite inferior de ln2 para la suma de la producción de entropía y la entropía de simetría.
  • Se demostró que la suma de la producción de entropía y la entropía de Shannon no es menor que ln2.
  • Se demostró una compensación entre la precisión de la decisión y la producción de entropía en el modelo de difusión.

Conclusiones:

  • Existe una relación de incertidumbre fundamental entre la entropía de Shannon y la producción de entropía.
  • La entropía de simetría proporciona una medida vinculada a la producción de entropía.
  • Los hallazgos tienen implicaciones para la comprensión de los procesos de toma de decisiones estocásticas.