A Geometric Approach to the Concept of Extensivity in Thermodynamics

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2019
• ISSN: 1815-0659
• Автор: García-Ariza, M.Á.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2019
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/210060
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: A Geometric Approach to the Concept of Extensivity in Thermodynamics / M.Á. García-Ariza // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 25 назв. — англ.

This paper presents a rigorous treatment of the concept of extensivity in equilibrium thermodynamics from a geometric point of view. This is achieved by endowing the manifold of equilibrium states of a system with a smooth atlas that is compatible with the pseudogroup of transformations on a vector...